ASSIGNMENT-2 : GAME THEORY DATE SUBMISON :06-02-2012

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1 What is game theory? What are the various types of games?

(Guru Nanak Dev Univ. 2(07) 2. What is symmetric game? Show that the value of a symmetric game is zero. (Meerut M.Sc. (Math.) 1999) 3. Describe a two-person zero-sum game. Also mention basic assumptions in it.

{Delhi es« (Stat.) 2006; Madras M.B.A.

4. Explain the terms : Pure strategy, Mixed strategy, Saddle point, Competitive games, Payoff matrix, Rectangular games. [Nagarjuna B.Sc. (Stat.) 1994; Kerala M.Com. 1994; Madras M.B.A. 1999;

5. Define the term 'strategy' and 'optimal strategy' with reference to Game Theory. (Meerut M.Sc. (Math.) 1999

6. Explain the Maximin and Minimax principle used in Game Theory. [Delhi B.Sc. (Stat.) 1999, J996)

7. What are the properties of a game? Explain the "best strategy" on the basis of minimax criterion of optimality. {Delhi M.B.A. 2001J

8. Explain the method of finding optimal solution of two-person zero-sum games. (Madurai M.Com. 2003) 9. Explain the concept of value of a game. (Madurai M.Com. (Nov.) 2002)

10.Let (ai) be the payoff matrix for a two-person zero-sum game. If ~ denotes the maximin value and Ii the minimax value of the game. (Delhi B.Sc. (Stat.) 1995)

11.Define saddle point. Is it necessary that a game should always possess a saddle point? (Madras M.B.A. 2004)

12.How do you solve a game when (a) Saddle point exists, and (b) Saddle point does not exist.

13.Show that every two-person 'zero-sum' game with mixed strategies has a solution.

14.Discuss dominance with reference to game theory. 15.Explain the algebraic method for solving a rectangular game.

[Annamalai M.B.A. 2009)

(Delhi B.Sc. (Math.) 1995)

16Explain the graphical method of solving 2 x n and m x 2 games.

17. What are the major limitations and applications of the Game theory? (Delhi M.Com. 1997)

18.State the assumptions underlying game theory. Discuss its importance in business decisions.

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