Problem :
In a hawk-dove game, if the benefit of winning is 10 and the cost of losing is
7, what is the best strategy to play, hawk or dove?
[Solution]
Problem :
If the Prisoner's Dilemma game is repeated multiple times, why should you not
always cheat?
Figure AN.1: Payoff Matrix for the Prisoner's Dilemma
[Solution]
Problem :
Consider two breeding strategies of the fictional Woozle. Dominator Woozles can
fight for a breeding territory, and if they win, will be able to rear 10
offspring. An alternative is to share territory with another Woozle which will
allow each to rear 5 offspring. Sharers who attempt to share with dominators
will be forced out of the territory, although they will be able to find a new
territory. Assume sharers become extra catious after encountering a dominator
and so will always find another territory to share the next time around, but due
to lost time will only be able to produce 3 offspring. Dominators are always
able to force sharers out of the territory and rear 10 young. Dominators who
meet dominators will win 50% of the time. When they lose, they are not able to
reproduce that season due to sustained injuries. Individual Woozles cannot
switch strategies. What proportion of the population would you expect to be
dominators, and what proportion would be sharers?
[Solution]
