Hawk-Dove: The following game has been widely used in evolutionary biology to understand how fighting and display strategies by animals could coexist in a population. For a typical Hawk-Dove game there are resources to be gained (e.g., food, mates, territories), denoted as v. Each of two players can choose to be aggressive, as Hawk (H), or compromising, as Dove (D).
If both players choose H then they split the resources but lose some payoff from injuries, denoted as k. Assume that k > v/2.
If both choose D then they split the resources but engage in some display of power that carries a display cost d, with d < v/2 2.Finally, if player i choose H while j chooses D then I get all the resources while j leaves with no benefits and no costs.
a. Describe this game in a matrix.
b. Assume that v = 10, k = 6, and d = 4. What outcomes can be supported?