game theory explains perplexing evolutionary stable strategy erin n. bodine math 188: social choice...
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![Page 1: Game Theory Explains Perplexing Evolutionary Stable Strategy Erin N. Bodine Math 188: Social Choice & Decision Making 22 – April - 2003 Side Blotch Lizards](https://reader035.vdocuments.site/reader035/viewer/2022072015/56649ec45503460f94bcdfcf/html5/thumbnails/1.jpg)
Game Theory Explains Perplexing Evolutionary
Stable Strategy
Erin N. Bodine
Math 188: Social Choice & Decision Making 22 – April - 2003
Side Blotch Lizards (Uta stanburiana)
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Observations of Morph Frequency and Fitness
Male Type Years of Highest Frequency
blue/less aggressive 1991, 1995
orange/aggressive 1992
yellow/sneaker 1993-94
YearFitness
Orange Blue Yellow
1991 4.73 1.00 1.61
1992 1.28 1.00 1.45
1994 0.90 1.26 1.00
Morph FrequencySinervo and Lively find a cycle in which
morph has the highest frequency.
Morph FitnessSinervo and Lively find that the cycle of
morph frequency relates to the fitness of each male type.
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Relative Morph Fitness
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Rock-Paper-Scissors
R S P
r 0 1 -1
s -1 0 1
p 1 -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.