Recall from Exercise S1 the travelers reporting the value of their lost souvenirs. Assume that a third traveler phenotype exists in the population. The third traveler type is a mixer; she plays a...

Recall from Exercise S1 the travelers reporting the value of their lost souvenirs. Assume that a third traveler phenotype exists in the population. The third traveler type is a mixer; she plays a mixed strategy, sometimes reporting a value of $100 and sometimes reporting a value of $50.

(a) Use your knowledge of mixed strategies in rationally played games to posit a reasonable mixture for the mixer phenotype to use in this game

(b) Draw the three-by-three payoff table for this game when the mixer type uses the mixed strategy that you found in part (a).

(c) Determine whether the mixer phenotype is an ESS of this game.