Define a new game as a modified version of the game in Problem 1, which we will call the Matching Two Pennies game: each player choose heads (H) or tails (T) for two pennies. In this game, Player 1 wins if both coins show the same combination of heads and tails, while Player 2 wins if they do not. (a) Write the strategy sets S1 and S2 for this game. (b) Give the payoffs for each player in this Matching Two Pennies game, by defining T;(81, 82) for each player and for each strategy pair, either as a list or in matrix form.

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter16: Bargaining
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Define a new game as a modified version of the game in Problem 1, which we will call
the Matching Two Pennies game: each player choose heads (H) or tails (T) for two
pennies. In this game, Player 1 wins if both coins show the same combination of heads
and tails, while Player 2 wins if they do not.
(a) Write the strategy sets S1 and S2 for this game.
(b) Give the payoffs for each player in this Matching Two Pennies game, by defining
T;(81, 82) for each player and for each strategy pair, either as a list or in matrix
form.
Transcribed Image Text:Define a new game as a modified version of the game in Problem 1, which we will call the Matching Two Pennies game: each player choose heads (H) or tails (T) for two pennies. In this game, Player 1 wins if both coins show the same combination of heads and tails, while Player 2 wins if they do not. (a) Write the strategy sets S1 and S2 for this game. (b) Give the payoffs for each player in this Matching Two Pennies game, by defining T;(81, 82) for each player and for each strategy pair, either as a list or in matrix form.
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