Strategy Player 1 (even player) 1 (finger) 2 (fingers) 1 (finger) Player 2 (odd player) 2 (fingers) 3 -4 -4 3

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter13: best-practice Tactics: Game Theory
Section: Chapter Questions
Problem 11E
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2. Consider the odds and evens game and whose payoff table is shown as below.
Player 2 (odd player)
2 (fingers)
Strategy
Player 1
(even player)
1 (finger)
2 (fingers)
1 (finger)
3
-4
−4
3
(a) Use the graphical procedure described in Sec. 15.4 from the viewpoint of player 1(the evens player) to,
first find the maximin point, then determine the optimal mixed strategy for player 1 (the even player)
according to the minimax criterion. (Do not need to find the optimal mixed strategy for player 2.)
(b) Use the Oddments Method directly to find the optimal mixed strategies for both player 1 and player 2.
(c) What is the corresponding value of the game?
Transcribed Image Text:2. Consider the odds and evens game and whose payoff table is shown as below. Player 2 (odd player) 2 (fingers) Strategy Player 1 (even player) 1 (finger) 2 (fingers) 1 (finger) 3 -4 −4 3 (a) Use the graphical procedure described in Sec. 15.4 from the viewpoint of player 1(the evens player) to, first find the maximin point, then determine the optimal mixed strategy for player 1 (the even player) according to the minimax criterion. (Do not need to find the optimal mixed strategy for player 2.) (b) Use the Oddments Method directly to find the optimal mixed strategies for both player 1 and player 2. (c) What is the corresponding value of the game?
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