Question: We consider a large population in which each individual is of either type X or type Y. Each individual is randomly matched to interact

We consider a large population in which each individual is of either type X or type Y. Each individual is randomly matched to interact once with another member of this population. The values in the following table are the replication rates (RRS) of the players for every possible combination of their types. The replication rate is the number of 'off-springs' that a player will have after the interaction. The player herself then dies away from the population, to be replaced by her off-springs who inherit the type of their parent. X Column Player X Y Row's RR=2 Col's RR= 2 Row's RR=4 Col's RR= 5 Y Row's RR=5 Col's RR= 4 Row's RR=1 Col's RR= 1 Row Player (a) Suppose the entire population consists of type X individuals. What is the expected replication rate of each individual? Answer: Every individual has expected replication rate (b) Suppose the population consists of 99% type X and 1% type Y. The expected replication rate of each type X individual in this population is And the expected replication rate of each type Y individual in this population is Can a population consisting entirely of type X be evolutionarily stable? Yes/ No (circle the right answer)

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