GAME THEORY:
Consider the voluntary contribution to building a fence game. Assume that v1 = v2 = 100, and C = 150. Select all that apply.
A. It is efficient to build the fence
B. Contributing more than her own valuation is a strictly dominated strategy for each player.
C. There are Nash equilibria in which the fence is not built.
D. Each player contributing 100 is a pure strategy Nash equilibrium in this game.
Please explain your answers! Thank you!
The correct answers are -
A. It is efficient to build the fence
B. Contributing more than her own valuation is a strictly dominated strategy for each player
C. There are Nash equilibria in which the fence is not built.
Reason
a>Since the overall cost of the fence-making is lesser than the total values, so it is efficient to make the fence.
B> One can always have at least value 0 by not paying, so paying more than his own value does not make sense.
C> When one player pays nothing, the best strategy for the other player is also to not pay anything.
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