Consider the odds and evens game introduced in Sec. 15.1 and whose payoff table is shown in
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Question:
Consider the odds and evens game introduced in Sec. 15.1 and whose payoff table is shown in Table 15.1.
Strategy | Player2 | ||
1 | 2 | ||
Player1 | 1 | 1 | -1 |
2 | -1 | 1 |
(a) Show that this game does not have a saddle point.
(b) Write an expression for the expected payoff for player 1 (the evens player) in terms of the probabilities of the two players using their respective pure strategies. Then show what this expression reduces to for the following three cases:
(c) Repeat part (b) when player 1 becomes the odds player instead.
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