Vo) 4G 22%11:05 AM LTE1 You Just now In class, we discussed the cooperating model as...

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Vo) 4G 22%11:05 AM LTE1 You Just now In class, we discussed the cooperating model as an example for interaction of organisms. In this problem, we will use a "Hawk-Dove" model instead. In the Hawk-Dove game, we assume that when two organisms interact, they compete for some resource (e.g., territory or food). Only one organ- ism can win the competition, and the winner receives benefit 6. However, if the organisms fight, one could be injured, incurring a cost. Organisms can adopt two different strategies when they interact. Hawks always fight for the resource, while Doves always back down from a fight. When two doves meet, both back down, and they share the resource equally (i.e., each gets benefit b/2). When a hawk meets a dove, the dove surrenders the resource to the hawk. The hawk receives benefit b, while the dove gets nothing. When two hawks meet, they fight, and the victor receives the benefit b. The loser is injured in the fight and incurs a cost c. (b) (4 pts)Assuming that the birth rates of hawks and doves are propor- tional to pavoff and that the death rate is chosen so that the total population is constant (we have same assumption for the cooperating model), derive the "Hawk-Dove" model. Hint: mimic the process of the cooperating model EP Vo) 4G 22%11:05 AM LTE1 You Just now In class, we discussed the cooperating model as an example for interaction of organisms. In this problem, we will use a "Hawk-Dove" model instead. In the Hawk-Dove game, we assume that when two organisms interact, they compete for some resource (e.g., territory or food). Only one organ- ism can win the competition, and the winner receives benefit 6. However, if the organisms fight, one could be injured, incurring a cost. Organisms can adopt two different strategies when they interact. Hawks always fight for the resource, while Doves always back down from a fight. When two doves meet, both back down, and they share the resource equally (i.e., each gets benefit b/2). When a hawk meets a dove, the dove surrenders the resource to the hawk. The hawk receives benefit b, while the dove gets nothing. When two hawks meet, they fight, and the victor receives the benefit b. The loser is injured in the fight and incurs a cost c. (b) (4 pts)Assuming that the birth rates of hawks and doves are propor- tional to pavoff and that the death rate is chosen so that the total population is constant (we have same assumption for the cooperating model), derive the "Hawk-Dove" model. Hint: mimic the process of the cooperating model EP

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Outcomes If V2 C0 Hawk strictly dominates ... View the full answer