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