Show that in order that aa and pp yield a player same payoff

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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 294.1. 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 payo? from the action AP than she does from the action AA, so that (β, β) is not a Nash equilibrium.

Reference no: EM13906910

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