# There are two types of racers—tortoises and hares—who race against one another in randomly drawn…

There are two types of racers—tortoises and hares—who

race against one another in randomly drawn pairs. In this world, hares beat

tortoises every time without fail. If two hares race they tie, and they are

completely exhausted by the race. When two tortoises race they also tie, but

they enjoy a pleasant conversation along the way. The payoff table is as

follows (where c . 0):

(a) Assume that the proportion of tortoises in the

population, t, is 0.5. For what values of c will tortoises have greater fitness

than hares?

(b) For what values of c will tortoises be fitter than

hares if t = 0.1?

(c) If c 5 1, will a single hare successfully invade a

population of pure tortoises? Explain why or why not. (d) In terms of t, how

large must c be for tortoises to have greater fitness than hares?

(e) In terms of c, what is the level of t in a

polymorphic equilibrium? For what values of c will such an equilibrium exist?

Explain.