company size and spatial localization – game theory and experimental approach przemysław...

Company size and spatial localization game theory and experimental approachPrzemysaw Kusztelak (spatial economist)Macjej Pogorzelski (mathematician)Tomasz Kopczewski (experimental economist)Research Seminar Warsaw, 24.04.2008

Presentation PlanScientific hypothesis Spatial economic literature descriptionNew idea of including company size into a researchPresentation of special experimental tool Model verification experimental approach Discussion

Scientific hypothesisCompany size has a great influence on competition level between them. Exist the inverse relation between company size and their mutual distance in equilibrium:Large companies choose central location (Principal of Minimum Product Differentiation);Small enterprises sprawl to avoid competition (Principal of Maximum Product Differentiation).

What is Space?

Space factors concerning company location:distancetimeagepolitical reasons.

Space example (distance)Population density in Poland (2000) rdo: http://www.mos.gov.pl/rio10/agenda21/A21_1.pdf

Space example (age)Population of Poland (2005)rdo: http://www.stat.gov.pl/cps/rde/xchg/gus

Wykres1

362651

354223

348971

352351

362435

376326

380551

391640

407249

426848

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Arkusz1

Ludno w 2005 roku

POLSKA OGEM

WiekPe

OgemMczyznaKobieta

0362,651186390176261

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3815705501910

Arkusz1

Arkusz2

Arkusz3

Ludno w 2005 roku

POLSKA OGEM

Wiek Pe

Ogem Mczyzna Kobieta

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1 rok 354223 182341 171882

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OGEM 38157055 18453855 19703200

Spatial location theory (1)Hotelling H. Stability in competition. Economic Journal 39, 1929, s. 41 57.NE: A=0 ; B=1

PE (social): A=0.25 ; B=0.75

Wykres4

0

0

A

B

x

a

b

miasto_na_prostej

00

01

miasto_na_prostej

0

0

A

B

x

a

b

rozkad_trjktny

11111

0121000.250.50.751

00.250.50.750.1

rozkad_trjktny

0

0

0

0

0

Odlego od pocztku miasta

Gsto zaludnienia

Funcja_ popytu

0

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Gsto zaludnienia

Poczenie rozk z popytem

Cena0.1

Funkcja popytu firmy 20.65990.66960.67910.68840.69750.70640.71510.72360.73190.740.74790.75560.76310.77040.77750.78440.79110.79760.80390.810.81590.82160.82710.83240.83750.84240.84710.85160.85590.860.86390.86760.87110.87440.87750.88040.88310.88560.88790.890.89190.89360.89510.89640.89750.89840.89910.89960.89990.9

Funkcja popytu firmy 10.90.89990.89960.89910.89840.89750.89640.89510.89360.89190.890.88790.88560.88310.88040.87750.87440.87110.86760.86390.860.85590.85160.84710.84240.83750.83240.82710.82160.81590.810.80390.79760.79110.78440.77750.77040.76310.75560.74790.740.73190.72360.71510.70640.69750.68840.67910.66960.65990.650.63990.62960.61910.60840.59750.58640.57510.56360.55190.540.52790.51560.50310.49040.47750.46440.45110.43760.42390.410.39590.38160.36710.35240.33750.32240.30710.29160.27590.260.24390.22760.21110.19440.17750.16040.14310.12560.10790.090.07190.05360.03510.0164000000

Odlego od pocztku miasta00.010.020.030.040.050.060.070.080.090.10.110.120.130.140.150.160.170.180.190.20.210.220.230.240.250.260.270.280.290.30.310.320.330.340.350.360.370.380.390.40.410.420.430.440.450.460.470.480.490.50.510.520.530.540.550.560.570.580.590.60.610.620.630.640.650.660.670.680.690.70.710.720.730.740.750.760.770.780.790.80.810.820.830.840.850.860.870.880.890.90.910.920.930.940.950.960.970.980.991

0.65990.66960.67910.68840.69750.70640.71510.72360.73190.740.74790.75560.76310.77040.77750.78440.79110.79760.80390.810.81590.82160.82710.83240.83750.84240.84710.85160.85590.860.86390.86760.87110.87440.87750.88040.88310.88560.88790.890.89190.89360.89510.89640.89750.89840.89910.89960.89990.9

0.90.89990.89960.89910.89840.89750.89640.89510.89360.89190.890.88790.88560.88310.88040.87750.87440.87110.86760.86390.860.85590.85160.84710.84240.83750.83240.82710.82160.81590.810.80390.79760.79110.78440.77750.77040.76310.75560.74790.740.73190.72360.71510.70640.69750.68840.67910.66960.6599

Poczenie rozk z popytem

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Warto funcji popytu

Po.rozk. z popytem razem

Cena0.1

Funkcja popytu firmy 10.90.89990.89960.89910.89840.89750.89640.89510.89360.89190.890.88790.88560.88310.88040.87750.87440.87110.86760.86390.860.85590.85160.84710.84240.83750.83240.82710.82160.81590.810.80390.79760.79110.78440.77750.77040.76310.75560.74790.740.73190.72360.71510.70640.69750.68840.67910.66960.65990.650.63990.62960.61910.60840.59750.58640.57510.56360.55190.540.52790.51560.50310.49040.47750.46440.45110.43760.42390.410.39590.38160.36710.35240.33750.32240.30710.29160.27590.260.24390.22760.21110.19440.17750.16040.14310.12560.10790.090.07190.05360.03510.0164000000


Gsto zaludnienia00.040.080.120.160.20.240.280.320.360.40.440.480.520.560.60.640.680.720.760.80.840.880.920.9611.041.081.121.161.21.241.281.321.361.41.441.481.521.561.61.641.681.721.761.81.841.881.921.9621.961.921.881.841.81.761.721.681.641.61.561.521.481.441.41.361.321.281.241.21.161.121.081.0410.960.920.880.840.80.760.720.680.640.60.560.520.480.440.40.360.320.280.240.20.160.120.080.040000000000000

Gsto zaludnienia klientw firmy A00.0359960.0719680.1078920.1437440.17950.2151360.2506280.2859520.3210840.3560.3906760.4250880.4592120.4930240.52650.5596160.5923480.6246720.6565640.6880.7189560.7494080.7793320.8087040.83750.8656960.8932680.9201920.9464440.9720.9968361.0209281.0442521.0667841.08851.1093761.1293881.1485121.1667241.1841.2003161.2156481.2299721.2432641.25551.2666561.2767081.2856321.2934041.31.2542041.2088321.1639081.1194561.07551.0320640.9891720.9468480.9051160.8640.8235240.7837120.7445880.7061760.66850.6315840.5954520.5601280.5256360.4920.4592440.4273920.3964680.3664960.33750.3095040.2825320.2566080.2317560.2080.1853640.1638720.1435480.1244160.10650.0898240.0744120.0602880.0474760.0360.0258840.0171520.0098280.003936000000

Po.rozk. z popytem razem

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Gsto zaludnienia klientw firmy A

Funkcje popytu_razem

Cena0.1

Funkcja popytu firmy 20.650.65990.66960.67910.68840.69750.70640.71510.72360.73190.740.74790.75560.76310.77040.77750.78440.79110.79760.80390.810.81590.82160.82710.83240.83750.84240.84710.85160.85590.860.86390.86760.87110.87440.87750.88040.88310.88560.88790.890.89190.89360.89510.89640.89750.89840.89910.89960.89990.9



Gsto zaludnienia00.040.080.120.160.20.240.280.320.360.40.440.480.520.560.60.640.680.720.760.80.840.880.920.9611.041.081.121.161.21.241.281.321.361.41.441.481.521.561.61.641.681.721.761.81.841.881.921.9621.961.921.881.841.81.761.721.681.641.61.561.521.481.441.41.361.321.281.241.21.161.121.081.0410.960.920.880.840.80.760.720.680.640.60.560.520.480.440.40.360.320.280.240.20.160.120.080.040000000000000

Gsto zaludnienia klientw firmy A00.0359960.0719680.1078920.1437440.17950.2151360.2506280.2859520.3210840.3560.3906760.4250880.4592120.4930240.52650.5596160.5923480.6246720.6565640.6880.7189560.7494080.7793320.8087040.83750.8656960.8932680.9201920.9464440.9720.9968361.0209281.0442521.0667841.08851.1093761.1293881.1485121.1667241.1841.2003161.2156481.2299721.2432641.25551.2666561.2767081.2856321.2934041.300000000000000000000000000000000000000000000000000

Gsto zaludnienia klientw firmy B000000000000000000000000000000000000000000000000001.31.2934041.2856321.2767081.2666561.25551.2432641.2299721.2156481.2003161.1841.1667241.1485121.1293881.1093761.08851.0667841.0442521.0209280.9968360.9720.9464440.9201920.8932680.8656960.83750.8087040.7793320.7494080.7189560.6880.6565640.6246720.5923480.5596160.52650.4930240.4592120.4250880.3906760.3560.3210840.2859520.2506280.2151360.17950.1437440.1078920.0719680.0359960

0.650.65990.66960.67910.68840.69750.70640.71510.72360.73190.740.74790.75560.76310.77040.77750.78440.79110.79760.80390.810.81590.82160.82710.83240.83750.84240.84710.85160.85590.860.86390.86760.87110.87440.87750.88040.88310.88560.88790.890.89190.89360.89510.89640.89750.89840.89910.89960.89990.9

0.90.89990.89960.89910.89840.89750.89640.89510.89360.89190.890.88790.88560.88310.88040.87750.87440.87110.86760.86390.860.85590.85160.84710.84240.83750.83240.82710.82160.81590.810.80390.79760.79110.78440.77750.77040.76310.75560.74790.740.73190.72360.71510.70640.69750.68840.67910.66960.65990.65

Funkcje popytu_razem

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Gsto zaludnienia klientw firm A i B

Cena0.1




0.65990.66960.67910.68840.69750.70640.71510.72360.73190.740.74790.75560.76310.77040.77750.78440.79110.79760.80390.810.81590.82160.82710.83240.83750.84240.84710.85160.85590.860.86390.86760.87110.87440.87750.88040.88310.88560.88790.890.89190.89360.89510.89640.89750.89840.89910.89960.89990.9

0.90.89990.89960.89910.89840.89750.89640.89510.89360.89190.890.88790.88560.88310.88040.87750.87440.87110.86760.86390.860.85590.85160.84710.84240.83750.83240.82710.82160.81590.810.80390.79760.79110.78440.77750.77040.76310.75560.74790.740.73190.72360.71510.70640.69750.68840.67910.66960.6599

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Warto funcji popytu

Spatial location theory (2)Salop S.C. Monopolistic competition with outside goods. Bell Journal of Economics 10, 1979, s. 141156.PE: f1=0 ; f2=1/n; ; fn=(n-1)/nNE: the same

Spatial location theory (3)Vendrop E., Majeed A. Diferentation in a two-dimensional market. Regional Science and Urban Economics 25, 1995, s. 75-83.

NE:[A=(0;0.5) ; B=(1;0.5)][A=(0.5;0) ; B=(0.5);1]

Evolution of spatial location theory:Firm choice: space, price, product characteristics Adding new uncontrolable variables: consumer distribution (uniform, triangular), cost of transportation Results ???

Different firm size treoretical model (1)The relaxation of the full market saturation assumption (not all consumers will buy good)Small firms:Medium firms:Large firms:

Different firm size treoretical model (2)The relaxation of the full market saturation assumption (not all consumers will buy good)Small firms:brak konkurencjiMedium firms: czciowa konkurencjaLarge firms:cakowita konkurencja

Different firm size treoretical modelConclusion:

Small firms pick peripheral locations. By dispersing, they divide the market between themselves and do not need to compete;

With the increase in firm size, the competition becomes stronger and the dispersion is lower;

When none of the firms is able to serve the total market demand, the maximum differentiation principle will apply;

For large firms, which are able to satisfy the total demand, competition leads to minimum product differentiation.

Different firm size empirical verification (1)Experimental approach (LabSEE special platform )

Different firm size empirical verification (2)Experimental approach (LabSEE special platform )

Different firm size empirical verification (3)Assumptions:Uniform distribution of consumers;

Market saturation of small / medium-sized / large firms located at point X;

Firms sell only one homogeneous product at the same, exogenous price.

Different firm size empirical verification (4)Small firms: NE and Pareto-effective NE

Percentage of small firms in equilibrium in each round

Wykres1

13.6363636364

22.7272727273

50

45.4545454545

59.0909090909

63.6363636364

68.1818181818

72.7272727273

86.3636363636

81.8181818182

rounds

percentage of small firms in equilibrium

wyniki

numer parydane graczyrunda 1runda 2runda 3runda 4runda 5runda 6runda 7runda 8runda 9runda 10runda 11runda 12runda 13runda 14runda 15runda 16runda 17runda 18runda 19runda 20runda 21runda 22runda 23runda 24runda 25runda 26runda 27runda 28runda 29runda 30wynik kocowy

NazwiskoIminr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypatanr wierszanr kolumnywypata

11332.5434445434334224225225225225229.5229.5229.5229.5229.5229.5229.5229.5229.5229.5321142113310.533133313331333133310.53310.53310.5254.5

1332.5324235424444334445445445445449.5449.5449.5449.5449.5449.5449.5449.5449.5449.5431144113310.5341044934104493310.53310.53310.5240.5

20234214324434314344332.5225225225339239.5439348339346449247336.523113313341044933133310.53310.53310.53310.53310.53310.5233.5

1334345224324235334332.5435445445447439.55354384383462310238336.5547449331333134293310.53310.53310.53310.53310.53310.5225.5

30454424444.5224435434.5224434245244227348438449.5449.5449.5449.5449.5449.5449.53310.5228.52293310.54493310.53310.53310.53310.53310.5232.5

0225334424.5334245234.5334543425334339247348229.5229.5229.5229.5229.5229.5229.53310.5228.533133310.533133310.53310.53310.53310.53310.5241.5

41332.5234224.5244234425425425425425348227328339438336.543832104363210321133133212.54312.53313331333133310.532103310.5243.5

1332.5344244.5234344235235235235235438339339328348336.5348449436249431123103412.52312.53210341043103310.533133310.5234.5

50444.5424.5442.5334445445445445445445229.5448.5349.5349.5349.5349.5349.5349.5349.5349.52411.534104411321143103212329.5321332103313250.5

0424.5224.5442.5444225225225225225225449.5428.5329.5329.5329.5329.5329.5329.5329.5329.54211.53313321343113313429329.5441133133210253.5

60354345345345345345345345345345339336.5348339348.5349349.5349.5349.5349.53310.534112493313331333133310.523103310.53310.5248

0225425425425425425425425425425238336.5438348454.5355329.5329.5329.5329.53310.52311341244934104293310.533133310.53310.5234

71332.542422524524524524524524524523122473463310.5336.5328339336.5336.5336.523113313321033132312.52310331323103310.53313241

1332.5434435425425425425425425425516339346356.5336.5339227336.5336.5336.534113210331334104312.53313231033133310.54310229

80445424245245245245245245245245356.5447339328336.5445.5447229.522743844933133310.53310.53310.53310.53310.53310.53310.53310.5229

01133344254254254254254254254253310.5339348339336.5445.5339449.533932833134493310.53310.53310.53310.53310.53310.53310.53310.5237

90424324.5344244414344425434225225329438238427321034833933932844733133310.5341043113310.52211.52411.52493310.53310.5234.5kiepsko

1334344.533434414423411333444544531532833943844933932834833933934103310.5331332113310.54411.54211.533133310.53310.5235.5

100224424.5332.5444235235235235235235339227236336.5339229.5229.5229.5229.5229.51110221422133313341534103310.53310.53310.53310.5247

1334444.5332.5434445445445445445445438339236336.5438449.5449.5449.5449.5449.555104510351044955533133310.53310.53310.53310.5229

111334334334334334334334334334334336.54310439.5438447238438339336.5239.53310.543103310.53310.53310.53310.53310.53310.53310.53310.5226.5

0244224424444444444444444444444336.5229239.5348339348339438336.5439.53310.533133310.53310.53310.53310.53310.53310.53310.53310.5230.5

121332.5335334334334334334334334334339336.5247339339239.5239.5239.5239.5239.523113313341434103310.5357.534103310.53310.53310.5235

1332.5513244224224224224224224224438336.5339328348439.5439.5439.5439.5439.53411431053833133310.53315.533133310.53310.53310.5237

130553324332.5434244.5225225225225225336.5348438227427336.5339336.53393393310.543103310.53310.53310.53310.53310.53310.53310.53310.5224

0345224332.5444444.5345345345345345336.5247328328339336.5328336.53283483310.533133310.53310.53310.53310.53310.53310.53310.53310.5228

140235344245245245245245245245245336.5348247336.5336.5336.5336.5336.5336.5336.53310.53310.53310.53310.53310.53310.53310.53310.53310.53310.5221

0414334325325325325325325325325336.5339339336.5336.5336.5336.5336.5336.5336.53310.53310.53310.53310.53310.53310.53310.53310.53310.53310.5223

150225244.5225225225225225225225225229.5249.5328248.5229.5447229348229.5229.522114311431343103310.5231043103310.53310.53310.5244.5

0445444.5445445445445445445445445449.5429.5427448.5449.54384310438449.5449.543133411221133133310.5331333133310.53310.53310.5254.5

160422.5425425425425425425425425425336.5227329.5329.5329.5329.5329.5329.5329.5329.533133310.53310.53310.53310.53310.53310.53310.53310.53310.5244.5

0422.5245245245245245245245245245336.5238349.5349.5349.5349.5349.5349.5349.5349.532103310.53310.53310.53310.53310.53310.53310.53310.53310.5242.5

170254444224.5244.51344244342442452453410339328346535.5249349.5349.5349.5349.5128.5

0325434244.5444.5345334324143425425429348438346427.5126329.5329.5329.5329.5126.5

180244.5244.5445445445445445445445445438449349.5349.5349.5349.5349.5349.5349.5349.5142

0224.5224.52252252252252252252252253283210329.5329.5329.5329.5329.5329.5329.5329.5143

1901444254254254254254254254254252311427238336.5238246546449.5449.5449.5130

0435345345345345345345345345345538339339336.53393393311229.5229.5229.5140

200445445445445445445445445445445438339556449.5449.5449.5449.5449.5449.5449.5139.5

0225225225225225225225225225225328447116229.5229.5229.5229.5229.5229.5229.5137.5

210234234153444432.5244.5334524324144336.5336.5336.5336.5336.5336.5336.5336.5336.5336.5103

1334334553344432.5444.5244335334335336.5336.5336.5336.5336.5336.5336.5336.5336.5336.5105

220235235235235235235235235235235238229329.5329.5329.5329.5329.5329.5329.5329.5143

04454454454454454454454454454453393410349.5349.5349.5349.5349.5349.5349.5349.5145

230.30351110131415161918336789111313145366979121414

1423504559646873868214142732364150595964311938385644567588881490.3409090909

240

135743554341714812141191013814141619232123273030

253011169711119793932182732252023301839394453645864758383

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wyniki

13.6363636364

22.7272727273

50

45.4545454545

59.0909090909

63.6363636364

68.1818181818

72.7272727273

86.3636363636

81.8181818182

numer rundy

procenty

Liczba firm maych znajdujcych si w rwnowadze w poszczeglnych rndach w procentach

0

0

0

0

0

0

0

0

0

0

numer rundy

procenty

Liczba firm rednich znajdujcych si w rwnowadze w procentach

0

0

0

0

0

0

0

0

0

0

numer rundy

procenty

Liczba firm duych znajdujcych si w rwnowadze w procentach

0

0

0

0

0

0

0

0

0

0

numer rundy

procenty

Liczba maych firm znajdujcych si w centrum w poszczeglnych rundach w procentach

0

0

0

0

0

0

0

0

0

0

numer rundy

procenty

Liczba maych firm znajdujcych si w centrum w poszczeglnych rundach w procentach

0

0

0

0

0

0

0

0

0

0

numer rundy

procenty

Liczba duych firm znajdujcych si w centrum w poszczeglnych rundach w procentach

Arkusz1

12345nr. wierszanr. kolumnyzdobyte punkty

1YYYYY1gracz X551.5

2YYYYY2gracz Y551.5

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345

wypaty Xstrategie gracza Ywypaty Xstrategie gracza Y

1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

strategie gracza X1;11.522.533223332.533333333333333strategie gracza X1;1

1;23233.543334443.544444444444441;2str. dominujca

1;33.53233.543334443.54444444444441;3

1;443.5323443334443.5444444444441;4str. dominujca

1;5332.521.53332233332.533333333331;5

2;133444233.544334443.54444444442;1str. dominujca

2;24445542.544.554445554.5555555552;2str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca

2;3544454.542.544.554445554.555555552;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


2;544433443.5324443344443.5444442;5str. dominujca

3;13.5444433444233.544334443.544443;1


3;3554.555544454.542.544.554445554.5553;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


3;544443.544433443.5324443344443.53;5

4;1444443.5444433444233.544334444;1str. dominujca




4;54444444443.544433443.532444334;5str. dominujca

5;133333333332.53333223331.522.5335;1

5;2444444444443.5444333443233.545;2str. dominujca

5;34444444444443.544433343.53233.55;3

5;444444444444443.544433343.53235;4str. dominujca

5;5333333333333332.533322332.521.55;5

wypaty Ystrategie gracza Ywypaty Ystrategie gracza Y

1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

strategie gracza X1;11.533.543345543.555544555434443strategie gracza X1;1str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca

1;22233.533445444.555445554344431;2str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca

1;32.53232.544444454.55445554344431;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


1;5343.531.54554345553.545554344431;5str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


2;22334332.544.543445444.5554344432;2str. dominujcastr. dominujcastr. dominujca

2;3333333.542.543.544444454.554344432;3str. dominujcastr. dominujca





3;3343.543444443.542.543.544444343.5433;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca













NEPlayer Y strategyNE

1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

Player X strategy1;11;1Player X strategy

1;2NE1;2

1;31;3

1;4NE1;4

1;51;5

2;1NE2;1

2;2NENENE2;2

2;3NENE2;3

2;4NENENE2;4

2;5NE2;5

3;13;1

3;2NENE3;2

3;3NENENENENENENENE3;3

3;4NENE3;4

3;53;5

4;1NE4;1

4;2NENENE4;2

4;3NENE4;3

4;4NENENE4;4

4;5NE4;5

5;15;1

5;2NE5;2

5;35;3

5;4NE5;4

5;55;5

NE1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5NE

Player Y strategy

Arkusz2


1YYYYY1gracz X553

2YYYYY2gracz Y553

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;264567544.56765.566.587778887.58881;2

1;3764.56775.555.577.576.577.598889998.5991;3

1;476546764.54586.565.56887778887.581;4

1;55.5543365433664.5446665566665.51;5

2;165678445.577.554.5678666.588778882;1

2;2887.591085.578.5107.57791098.599.51110101011112;2str. dominujcastr. dominujca

2;3108.598.5109.58689.5108881010.5109.51010.512111111122;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


2;5876567.575.5448764.55886.566888772;5

3;1777.59965.57894.556.588.565.5789777.5993;1


3;311.51110.51111.5119991110.596.5910.5119991111.51110.51111.53;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


3;5997.5779875.568.586.554.59875.56997.5773;5

4;177888666.58854.5678445.577.5656784;1




4;588877886.5668764.557.575.544876564;5

5;15.5666655666444.5663345633455.55;1

5;287.58887778865.566.58544.567645675;2

5;3998.599988897.576.577.575.555.57764.5675;3

5;48887.588877786.565.56764.545765465;4

5;566665.566655664.544654335.554335;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

strategie gracza X1;136775.5681010871011.5129710121185.58986strategie gracza X1;1str. dominujcastr. dominujca

1;234665588.59779.51110.597101111867.59861;2str. dominujcastr. dominujcastr. dominujca

1;3454.55467.597.567.51010.5107.581011108688.5861;3str. dominujca


1;55.57763810108691211.51078111210768985.51;5str. dominujcastr. dominujca



2;344.554.545.57675.5789876.599.596.5678762;3str. dominujca



3;1467.58657.5101084.5910.5118.557.510108467.5863;1str. dominujca

3;245.576.564.578975699.584.5789745.576.563;2str. dominujca

3;34.566.564.5678766.586.586.5678764.566.564.53;3str. dominujcastr. dominujcastr. dominujcastr. dominujca

3;466.575.5479874.589.596579874.566.575.543;4str. dominujca

3;5687.564810107.558.51110.594.5810107.55687.5643;5str. dominujca



4;3678766.599.596.5789875.57675.544.554.544;3str. dominujca





5;3688.586810111087.51010.5107.567.597.56454.5545;3str. dominujca



rwnowagistrategie gracza Y

1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

strategie gracza X1;1

1;2

1;3

1;4

1;5

2;1

2;2

2;3rwnowaga

2;4

2;5

3;1

3;2rwnowaga

3;3

3;4rwnowaga

3;5

4;1

4;2

4;3rwnowaga

4;4

4;5

5;1

5;2

5;3

5;4

5;5

Arkusz3


1YYYYY1gracz X555

2YYYYY2gracz Y555

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

strategie gracza X1;1545.5784456.585.555.578.576.57810888.51010strategie gracza X1;1

1;2106.578.5107.55689.58778109.59910111110.51111.5131;2

1;310.597910.510757109.587.589.5111010101112.51211.51212.51;3

1;4108.576.5109.58657.51087781110999.51311.51110.5111;4

1;5875.54586.55448.575.555.510876.5710108.5881;5

2;1107.589.5116.557910.57679118.5881011.5109.51011132;1

2;21313111213.5138.5911131199111312111111.51413.5131314152;2

2;3151314131514129.512141411101114141312.5131416151515162;3str. dominujcastr. dominujca

2;413.512111313131198.513131199111411.51111121514131313.52;4

2;5119.587.51010.59756.511976711.510888.51311109.5102;5

3;110.5109.51112.59781012757.51011.5978101210.5109.51112.53;1


3;316.51615.51616.5161313131615.51310.51315.5161313131616.51615.51616.53;3str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujca


3;512.5119.51010.5121087911.5107.557121087912.5119.51010.53;5

4;1109.51011138.5881011.57679116.557910.5107.589.5114;1

4;213.51313141512111111.51411991113138.5911131313111213.54;2


4;41514131313.51411.511111213119911131198.51313.5121113134;4

4;51311109.51011.510888.511976710.59756.5119.587.5104;5

5;1888.5101076.578105.555.578.54456.58545.5785;1

5;21110.51111.5139.59910118778107.55689.5106.578.5105;2

5;312.51211.51212.511101010119.587.589.5107571010.597910.55;3

5;41311.51110.5111110999.51087789.58657.5108.576.5105;4

5;510108.58810876.578.575.555.586.5544875.5455;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5

strategie gracza X1;151010.510810131513.51110.51516.51612.51013.516151381112.51310strategie gracza X1;1str. dominujca

1;246.598.577.51313129.510141614119.513151411810.51211.5101;2str. dominujca

1;35.57775.5811141189.51415.5149.510131513108.51111.5118.51;3str. dominujca

1;478.596.549.51213137.51114161410111415139.51011.51210.581;4str. dominujca

1;581010.51051113.515131012.51616.51510.513151613.510101312.51181;5str. dominujca

2;147.5109.586.513141310.59131615128.512141411.579.51111102;1str. dominujca


2;356565799.5978111311881112.51187910972;3str. dominujca


2;589.5107.5410.51314136.512151613911.51414128.51011119.572;5str. dominujca

3;15.589.5108.571114131171415.51511.57111413115.589.5108.53;1str. dominujca

3;257887691111959.51312.5106911119578873;2str. dominujca

3;35.577.575.57910977.51010.5107.57910975.577.575.53;3str. dominujca

3;47887591111961012.5139.559111196788753;4str. dominujca

3;58.5109.585.511131411711.51515.51471113141178.5109.585.53;5str. dominujca

4;179.51111108.512141411.59131615126.513141310.547.5109.584;1str. dominujca


4;379109781112.511881113118799.597565654;3str. dominujca


4;51011119.5711.51414128.512151613910.51314136.589.5107.544;5str. dominujca

5;181112.513101013.516151310.51516.51612.510131513.51151010.51085;1str. dominujca

5;2810.51211.5109.51315141110141614117.51313129.546.598.575;2str. dominujca

5;38.51111.5118.510131513109.51415.5149.5811141185.57775.55;3str. dominujca

5;41011.51210.58111415139.511141614109.51213137.578.596.545;4str. dominujca

5;5101312.511813151613.51012.51616.51510.51113.515131081010.51055;5str. dominujca


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2

1;3

1;4

1;5

2;1

2;2

2;3

2;4

2;5

3;1

3;2

3;3rwnowaga

3;4

3;5

4;1

4;2

4;3

4;4

4;5

5;1

5;2

5;3

5;4

5;5

Different firm size empirical verification (5)Medium-sized firms: NE and Pareto-effective NE

Percentage of small firms in equilibrium in each round

Arkusz1


1YYYYY1gracz X551.5

2YYYYY2gracz Y551.5

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;23233.543334443.544444444444441;2str. dominujca

1;33.53233.543334443.54444444444441;3

1;443.5323443334443.5444444444441;4str. dominujca

1;5332.521.53332233332.533333333331;5

2;133444233.544334443.54444444442;1str. dominujca




2;544433443.5324443344443.5444442;5str. dominujca

3;13.5444433444233.544334443.544443;1




3;544443.544433443.5324443344443.53;5

4;1444443.5444433444233.544334444;1str. dominujca




4;54444444443.544433443.532444334;5str. dominujca

5;133333333332.53333223331.522.5335;1

5;2444444444443.5444333443233.545;2str. dominujca

5;34444444444443.544433343.53233.55;3

5;444444444444443.544433343.53235;4str. dominujca

5;5333333333333332.533322332.521.55;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5



























1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2NE1;2

1;31;3

1;4NE1;4

1;51;5

2;1NE2;1

2;2NENENE2;2

2;3NENE2;3

2;4NENENE2;4

2;5NE2;5

3;13;1

3;2NENE3;2


3;4NENE3;4

3;53;5

4;1NE4;1

4;2NENENE4;2

4;3NENE4;3

4;4NENENE4;4

4;5NE4;5

5;15;1

5;2NE5;2

5;35;3

5;4NE5;4

5;55;5

NE1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5NE

Player Y strategy

Arkusz2


1YYYYY1gracz X553

2YYYYY2gracz Y553

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;264567544.56765.566.587778887.58881;2

1;3764.56775.555.577.576.577.598889998.5991;3

1;476546764.54586.565.56887778887.581;4

1;55.5543365433664.5446665566665.51;5

2;165678445.577.554.5678666.588778882;1




2;5876567.575.5448764.55886.566888772;5

3;1777.59965.57894.556.588.565.5789777.5993;1




3;5997.5779875.568.586.554.59875.56997.5773;5

4;177888666.58854.5678445.577.5656784;1




4;588877886.5668764.557.575.544876564;5

5;15.5666655666444.5663345633455.55;1

5;287.58887778865.566.58544.567645675;2

5;3998.599988897.576.577.575.555.57764.5675;3

5;48887.588877786.565.56764.545765465;4

5;566665.566655664.544654335.554335;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5



1;3454.55467.597.567.51010.5107.581011108688.5861;3str. dominujca





2;344.554.545.57675.5789876.599.596.5678762;3str. dominujca



3;1467.58657.5101084.5910.5118.557.510108467.5863;1str. dominujca

3;245.576.564.578975699.584.5789745.576.563;2str. dominujca


3;466.575.5479874.589.596579874.566.575.543;4str. dominujca

3;5687.564810107.558.51110.594.5810107.55687.5643;5str. dominujca



4;3678766.599.596.5789875.57675.544.554.544;3str. dominujca





5;3688.586810111087.51010.5107.567.597.56454.5545;3str. dominujca




1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2

1;3

1;4

1;5

2;1

2;2

2;3rwnowaga

2;4

2;5

3;1

3;2rwnowaga

3;3

3;4rwnowaga

3;5

4;1

4;2

4;3rwnowaga

4;4

4;5

5;1

5;2

5;3

5;4

5;5

Arkusz3


1YYYYY1gracz X555

2YYYYY2gracz Y555

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2106.578.5107.55689.58778109.59910111110.51111.5131;2

1;310.597910.510757109.587.589.5111010101112.51211.51212.51;3

1;4108.576.5109.58657.51087781110999.51311.51110.5111;4

1;5875.54586.55448.575.555.510876.5710108.5881;5

2;1107.589.5116.557910.57679118.5881011.5109.51011132;1

2;21313111213.5138.5911131199111312111111.51413.5131314152;2


2;413.512111313131198.513131199111411.51111121514131313.52;4

2;5119.587.51010.59756.511976711.510888.51311109.5102;5

3;110.5109.51112.59781012757.51011.5978101210.5109.51112.53;1




3;512.5119.51010.5121087911.5107.557121087912.5119.51010.53;5

4;1109.51011138.5881011.57679116.557910.5107.589.5114;1

4;213.51313141512111111.51411991113138.5911131313111213.54;2


4;41514131313.51411.511111213119911131198.51313.5121113134;4

4;51311109.51011.510888.511976710.59756.5119.587.5104;5

5;1888.5101076.578105.555.578.54456.58545.5785;1

5;21110.51111.5139.59910118778107.55689.5106.578.5105;2

5;312.51211.51212.511101010119.587.589.5107571010.597910.55;3

5;41311.51110.5111110999.51087789.58657.5108.576.5105;4

5;510108.58810876.578.575.555.586.5544875.5455;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;246.598.577.51313129.510141614119.513151411810.51211.5101;2str. dominujca

1;35.57775.5811141189.51415.5149.510131513108.51111.5118.51;3str. dominujca

1;478.596.549.51213137.51114161410111415139.51011.51210.581;4str. dominujca

1;581010.51051113.515131012.51616.51510.513151613.510101312.51181;5str. dominujca

2;147.5109.586.513141310.59131615128.512141411.579.51111102;1str. dominujca


2;356565799.5978111311881112.51187910972;3str. dominujca


2;589.5107.5410.51314136.512151613911.51414128.51011119.572;5str. dominujca

3;15.589.5108.571114131171415.51511.57111413115.589.5108.53;1str. dominujca

3;257887691111959.51312.5106911119578873;2str. dominujca

3;35.577.575.57910977.51010.5107.57910975.577.575.53;3str. dominujca

3;47887591111961012.5139.559111196788753;4str. dominujca

3;58.5109.585.511131411711.51515.51471113141178.5109.585.53;5str. dominujca

4;179.51111108.512141411.59131615126.513141310.547.5109.584;1str. dominujca


4;379109781112.511881113118799.597565654;3str. dominujca


4;51011119.5711.51414128.512151613910.51314136.589.5107.544;5str. dominujca

5;181112.513101013.516151310.51516.51612.510131513.51151010.51085;1str. dominujca

5;2810.51211.5109.51315141110141614117.51313129.546.598.575;2str. dominujca

5;38.51111.5118.510131513109.51415.5149.5811141185.57775.55;3str. dominujca

5;41011.51210.58111415139.511141614109.51213137.578.596.545;4str. dominujca

5;5101312.511813151613.51012.51616.51510.51113.515131081010.51055;5str. dominujca


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2

1;3

1;4

1;5

2;1

2;2

2;3

2;4

2;5

3;1

3;2

3;3rwnowaga

3;4

3;5

4;1

4;2

4;3

4;4

4;5

5;1

5;2

5;3

5;4

5;5

Arkusz1


1YYYYY1gracz X551.5

2YYYYY2gracz Y551.5

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;23233.543334443.544444444444441;2str. dominujca

1;33.53233.543334443.54444444444441;3

1;443.5323443334443.5444444444441;4str. dominujca

1;5332.521.53332233332.533333333331;5

2;133444233.544334443.54444444442;1str. dominujca




2;544433443.5324443344443.5444442;5str. dominujca

3;13.5444433444233.544334443.544443;1




3;544443.544433443.5324443344443.53;5

4;1444443.5444433444233.544334444;1str. dominujca




4;54444444443.544433443.532444334;5str. dominujca

5;133333333332.53333223331.522.5335;1

5;2444444444443.5444333443233.545;2str. dominujca

5;34444444444443.544433343.53233.55;3

5;444444444444443.544433343.53235;4str. dominujca

5;5333333333333332.533322332.521.55;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5



























1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2NE1;2

1;31;3

1;4NE1;4

1;51;5

2;1NE2;1

2;2NENENE2;2

2;3NENE2;3

2;4NENENE2;4

2;5NE2;5

3;13;1

3;2NENE3;2


3;4NENE3;4

3;53;5

4;1NE4;1

4;2NENENE4;2

4;3NENE4;3

4;4NENENE4;4

4;5NE4;5

5;15;1

5;2NE5;2

5;35;3

5;4NE5;4

5;55;5

NE1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5NE

Player Y strategy

Arkusz2


1YYYYY1gracz X553

2YYYYY2gracz Y553

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;264567544.56765.566.587778887.58881;2

1;3764.56775.555.577.576.577.598889998.5991;3

1;476546764.54586.565.56887778887.581;4

1;55.5543365433664.5446665566665.51;5

2;165678445.577.554.5678666.588778882;1




2;5876567.575.5448764.55886.566888772;5

3;1777.59965.57894.556.588.565.5789777.5993;1




3;5997.5779875.568.586.554.59875.56997.5773;5

4;177888666.58854.5678445.577.5656784;1




4;588877886.5668764.557.575.544876564;5

5;15.5666655666444.5663345633455.55;1

5;287.58887778865.566.58544.567645675;2

5;3998.599988897.576.577.575.555.57764.5675;3

5;48887.588877786.565.56764.545765465;4

5;566665.566655664.544654335.554335;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5



1;3454.55467.597.567.51010.5107.581011108688.5861;3str. dominujca





2;344.554.545.57675.5789876.599.596.5678762;3str. dominujca



3;1467.58657.5101084.5910.5118.557.510108467.5863;1str. dominujca

3;245.576.564.578975699.584.5789745.576.563;2str. dominujca


3;466.575.5479874.589.596579874.566.575.543;4str. dominujca

3;5687.564810107.558.51110.594.5810107.55687.5643;5str. dominujca



4;3678766.599.596.5789875.57675.544.554.544;3str. dominujca





5;3688.586810111087.51010.5107.567.597.56454.5545;3str. dominujca




1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2

1;3

1;4

1;5

2;1

2;2

2;3rwnowaga

2;4

2;5

3;1

3;2rwnowaga

3;3

3;4rwnowaga

3;5

4;1

4;2

4;3rwnowaga

4;4

4;5

5;1

5;2

5;3

5;4

5;5

Arkusz3


1YYYYY1gracz X555

2YYYYY2gracz Y555

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2106.578.5107.55689.58778109.59910111110.51111.5131;2

1;310.597910.510757109.587.589.5111010101112.51211.51212.51;3

1;4108.576.5109.58657.51087781110999.51311.51110.5111;4

1;5875.54586.55448.575.555.510876.5710108.5881;5

2;1107.589.5116.557910.57679118.5881011.5109.51011132;1

2;21313111213.5138.5911131199111312111111.51413.5131314152;2


2;413.512111313131198.513131199111411.51111121514131313.52;4

2;5119.587.51010.59756.511976711.510888.51311109.5102;5

3;110.5109.51112.59781012757.51011.5978101210.5109.51112.53;1




3;512.5119.51010.5121087911.5107.557121087912.5119.51010.53;5

4;1109.51011138.5881011.57679116.557910.5107.589.5114;1

4;213.51313141512111111.51411991113138.5911131313111213.54;2


4;41514131313.51411.511111213119911131198.51313.5121113134;4

4;51311109.51011.510888.511976710.59756.5119.587.5104;5

5;1888.5101076.578105.555.578.54456.58545.5785;1

5;21110.51111.5139.59910118778107.55689.5106.578.5105;2

5;312.51211.51212.511101010119.587.589.5107571010.597910.55;3

5;41311.51110.5111110999.51087789.58657.5108.576.5105;4

5;510108.58810876.578.575.555.586.5544875.5455;5


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;246.598.577.51313129.510141614119.513151411810.51211.5101;2str. dominujca

1;35.57775.5811141189.51415.5149.510131513108.51111.5118.51;3str. dominujca

1;478.596.549.51213137.51114161410111415139.51011.51210.581;4str. dominujca

1;581010.51051113.515131012.51616.51510.513151613.510101312.51181;5str. dominujca

2;147.5109.586.513141310.59131615128.512141411.579.51111102;1str. dominujca


2;356565799.5978111311881112.51187910972;3str. dominujca


2;589.5107.5410.51314136.512151613911.51414128.51011119.572;5str. dominujca

3;15.589.5108.571114131171415.51511.57111413115.589.5108.53;1str. dominujca

3;257887691111959.51312.5106911119578873;2str. dominujca

3;35.577.575.57910977.51010.5107.57910975.577.575.53;3str. dominujca

3;47887591111961012.5139.559111196788753;4str. dominujca

3;58.5109.585.511131411711.51515.51471113141178.5109.585.53;5str. dominujca

4;179.51111108.512141411.59131615126.513141310.547.5109.584;1str. dominujca


4;379109781112.511881113118799.597565654;3str. dominujca


4;51011119.5711.51414128.512151613910.51314136.589.5107.544;5str. dominujca

5;181112.513101013.516151310.51516.51612.510131513.51151010.51085;1str. dominujca

5;2810.51211.5109.51315141110141614117.51313129.546.598.575;2str. dominujca

5;38.51111.5118.510131513109.51415.5149.5811141185.57775.55;3str. dominujca

5;41011.51210.58111415139.511141614109.51213137.578.596.545;4str. dominujca

5;5101312.511813151613.51012.51616.51510.51113.515131081010.51055;5str. dominujca


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;2

1;3

1;4

1;5

2;1

2;2

2;3

2;4

2;5

3;1

3;2

3;3rwnowaga

3;4

3;5

4;1

4;2

4;3

4;4

4;5

5;1

5;2

5;3

5;4

5;5

Arkusz1


1YYYYY1gracz X551.5

2YYYYY2gracz Y551.5

3YYYYY3

4YYYYY4

5YYYYX , Y5

12345


1;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;51;11;21;31;41;52;12;22;32;42;53;13;23;33;43;54;14;24;34;44;55;15;25;35;45;5


1;23233.543334443.544444444444441;2str. dominujca

1;33.53233.543334443.54444444444441;3

1;443.5323443334443.5444444444441;4str. dominujca

1;5332.521.53332233332.533333333331;5

2;133444233.544334443.54444444442;1str. dominujca




2;544433443.5324443344443.5444442;5str. dominujca

3;13.5444433444233.544334443.544443;1



3;45554.555544454.542.54554445554.553;4str. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. dominujcastr. domi

company size and spatial localization – game theory and experimental approach przemysław...

Documents

company location

space factors

competition level

large companies

great influence

mutual distance

inverse relation