What is the mixed strategy nash equilibrium in this game

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Reference no: EM13832823

Consider a contributions game with 2 players. Each player can either ‘Contribute’ or ‘Not.’ If either (or both) Contribute, a good is provided to both. The good is worth 2 jollies to each player. If a player Con­ tributes, she pays a cost of 1 jolly (deducted from the 2 jollies that the good is worth to her). If a player does Not contribute, she has no cost deducted from her jollies. If both players choose Not to contribute, both players receive 0 jollies.

(a) Suppose player 1 uses a mixed strategy. What is player 2’s expected payoff?

(b) Suppose player 2 uses a mixed strategy. What is player 1’s expected payoff?

(c) What is the mixed strategy Nash equilibrium in this game?

 

(d) Suppose the good is worth 3 jollies to both players instead of 2. What is the mixed strategy Nash equilibrium of this game?

Reference no: EM13832823

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