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

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

2 Observations of Morph Frequency and Fitness Male TypeYears of Highest Frequency blue/less aggressive1991, 1995 orange/aggressive1992 yellow/sneaker1993-94 Year Fitness OrangeBlueYellow 19914.731.001.61 19921.281.001.45 19940.901.261.00 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.

3 Relative Morph Fitness

4 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.


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