It is all true / False except for (d). Exact number needed for (d).

Consider an evolutionary game between a green type and a purple type with a payoff table as follows: Let g be the proportion of greens in the population. The following graph depicts the fitness of the purple types, FP, along with the fitness of the green type when a=2,3, and 4 , denoted as Fg(2),Fg(3), and Fg(4), respectively. Given the graph, answer the following. Recall: Monomorphic equilibrium is a population consisting of a single strategy, i.e. all members of the population follow a single strategy, e.g. an "all green" population. Polymorphic equilibrium is where the population consists of both greens and purples-remember that another interpretation of polymorphic equilibrium is a population where all members follow the same mixed strategy using both green and purple. Fitness of a strategy is the expected payoff from that strategy. a. There will be an evolutionarily stable polymorphic equilibrium whenever a=2 b. When a3 there will be an unstable monomorphic equilibrium of all green types, that is, strategy Green is not evolutionarily stable c. When a3 there will be a stable monomorphic equilibrium of all purple types, that is, strategy Purple is evolutionarily stable d. If a=2, the equilibrium proportion of green types, g, in the polymorphic (mixed strategy) equilibrium is (Hint: This is the probability assigned to Green in the evolutionarily stable mixed strategy Nash Equilibrium): e. Purple may be an evolutionary stable strategy depending on the value of a