Game Theory Explains Perplexing Evolutionary Stable Strategy Erin N. Bodine Math 188: Social Choice & Decision Making 22 – April - 2003 Side Blotch Lizards.

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Presentation transcript:

Game Theory Explains Perplexing Evolutionary Stable Strategy Erin N. Bodine Math 188: Social Choice & Decision Making 22 – April Side Blotch Lizards (Uta stanburiana)

Observations of Morph Frequency and Fitness Male TypeYears of Highest Frequency blue/less aggressive1991, 1995 orange/aggressive1992 yellow/sneaker Year Fitness OrangeBlueYellow Morph Frequency Sinervo and Lively find a cycle in which morph has the highest frequency. Morph Fitness Sinervo and Lively find that the cycle of morph frequency relates to the fitness of each male type.

Relative Morph Fitness

Rock-Paper-Scissors RSP r 01 s 01 p 1 0 Game Matrix for Rock-Paper-Scissors Payoffs shown are for player I The model of rock- paper-scissors typically used by game theorists. 1 = win 0 = draw -1 = loss for player I Let nature randomly pick two side-blotched lizards to inhabit the same territory for mating. Depending on what male morph they are, the lizard with the greater fitness in that territory will play out like a game of rock-paper-scissors.