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

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

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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?

 

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