Question
Free Rider Game: Three players, Emily, Nina, and Talia all live on the same small street. Each has been asked to contribute toward the creation
Free Rider Game: Three players, Emily, Nina, and Talia all live on the same small street. Each has been asked to contribute toward the creation of a flower garden at the intersection of their small street with the main highway. The ultimate size and splendor of the garden depends on how many of them contribute. Furthermore, although each player is happy to have the garden{and happier as its size and splendor increase{each is reluctant to contribute because of the cost that she must incur to do so. If 2 or all 3 contribute, there will be sufficient resources for the initial planting and subsequent maintenance of the garden; it will be quite attractive and pleasant. However, if one or non contribute, it will be too sparse and poorly maintained to be pleasant. Suppose the game is solved sequentially in the figure below, and payoffs are listed as (Emily, Nina, Talia).
Find the Nash Equilibrium
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