Nash equilibrium in an asymmetric variant of hawk dove

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Nash equilibrium in an asymmetric variant of Hawk-Dove:-

Let β be a mixed strategy that assigns positive probability only to the actions AA and PP in the game in Figure 1.

Show that in order that AA and PP yield a player the same expected payoff when her opponent uses the strategy β, we need β to assign probability (V + v)/2c to AA.

Show further that when her opponent uses this strategy β, a player obtains a higher expected payoff from the action AP than she does from the action AA, so that (β, β) is not a Nash equilibrium.

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Reference no: EM131252691

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