Consider an evolutionary game between green types and purple types with a payoff table as follows:   Let g be the proportion of greens in the population. (a) In terms of g, what is the fitness of the...

Consider an evolutionary game between green types and purple types with a payoff table as follows:

Let g be the proportion of greens in the population.

(a) In terms of g, what is the fitness of the purple type?

(b) In terms of g and a, what is the fitness of the green type?

(c) Graph the fitness of the purple types against the fraction g of green types in the population. On the same diagram, show three lines for the fitness of the green types when a 5 2, 3, and 4. What can you conclude from this graph about the range of values of a that guarantees a stable polymorphic equilibrium?

(d) Assume that a is in the range found in part (c). In terms of a, what is the proportion of greens, g, in the stable polymorphic equilibrium?