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Consider the HawkDove game. Two spiders compete for control of a web. If they both choose to concede, there is an equal chance of each
Consider the HawkDove game. Two spiders compete for control of a web. If they both choose to concede, there is an equal chance of each spider getting the web. If one spider ghts and the other concedes, the spider that chooses to ght gains control of the web. If both spiders ght there is again an equal chance of each spider getting the web, but there is also some probability of injury. If the physical costs of ghting are higher than the expected value of the web, then the payoff m will be less than 0; otherwise, it will be bigger than 0. Spider 1 \\Spider 2 l c l f c l (5,5) \\(0, 10) f (10,0) (119,3?) a. Suppose that the payoff to winning the web is higher (than 10). Clearly explain how the payoff to (f, f ) might change as well. What difference, if any, would that make to the analysis? I). Show that what determines whether the spiders ght is the difference be tween the payoffs to ghting and conceding when the other spider chooses to ght. c. Argue that both spiders conceding can never be a Nash equilibrium of this game
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