1. 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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