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ESS: Evolutionary Stable Strategies Game Theory Module

Author(s): John Jungck1, Jennifer A. Spangenberg

Beloit College

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Summary:
This Excel workbook illustrates a number of ESS examples. Each example allows the user to manipulate the initial population for each strategy and the fitness payoffs and costs for each strategy.

Licensed under CC Attribution-NonCommercial-ShareAlike 4.0 International according to these terms

Version 1.0 - published on 17 Aug 2024 doi:10.25334/ZXGW-AZ81 - cite this

Keywords

  1. population genetics
  2. fitness
  3. game theory
  4. Sequence alignment
  5. evolutionary stable strategies

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  2. Subdiscipline
  3. Audience Level
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Contents:
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Overview

This Excel workbook illustrates a number of ESS examples. Each example allows the user to manipulate the initial population for each strategy and the fitness payoffs and costs for each strategy. The workbook projects population proportion and fitness over 100 generations, and includes both symmetrical and asymmetrical examples.

Popular Text Citations

Weibull, Jörgen. (1995). Evolutionary Game Theory. Cambridge, MA: The M.I.T. Press; Cloth: ISBN 0-262-23181-6; Paper: ISBN 0-262-73121-5.

Dugatkin, L. A.; Hudson, K. R. 2000. Game Theory and Animal Behavior. Oxford University Press: USA.

Maynard Smith, John. (1989; 1992). "DID DARWIN GET IT RIGHT ? Essays on Games, Sex and Evolution". Smith Chapman & Hall, cloth 1989; paperback 1992; ISBN 0-412-03821-8.

Research Articles

Foster, D.; Young, P. 1990. Stochastic evolutionary game dynamics. Theoretical Population Biology 38:219-232.

Sinervo, B.; Lively, C. M. 1996. The rock-paper-scissors game and the evolution of alternative strategies. Nature 380:240-243.

Hines, W. G. 1987. Evolutionarily [corrected] stable strategies: a review of basic theory. Theoretical Population Biology 31:114.

Kokko, H. 1997. Evolutionarily stable strategies of age-dependent sexual advertisement. Behavioral Ecology and Sociobiology 41:99-107.

Education Research & Pedagogical Materials

Donovan T. and Welden C. (2002). Spreadsheet Exercises in Ecology and Evolution. Sinaver Associates: Sunderland, MA. 510-519.

Tutorial & Background Materials

Bob Wyttenbach's GameBug (a very powerful Evolutionary Game Theory simulation)

John Maynard Smith Detailed biography

John Maynard Smith Obituary (Snapshot: 2011-06-09)

General Game Theory Links (Snapshot: 2014-02-03)

John Maynard Smith Obituary and biography overview (Snapshot: 2011-06-07)

Kenneth Prestwich's Game Theory and Biology website and applets (Snapshot: 2007-07-02)

Citation

Researchers should cite this work as follows:

Fundamental Mathematical Concepts

Fundamental Mathematical Concepts
Game Theory Payoff Matrix

Developed By

Developed by
John Maynard Smith

Professor John Maynard Smith1, F.R.S. (6 January 1920 – 19 April 2004) was a British evolutionary biologist and geneticist. Originally an aeronautical engineer during the Second World War, he then took a second degree in genetics under the great J.B.S. Haldane. Maynard Smith was instrumental in the application of game theory to evolution and theorised on other problems such as the evolution of sex and signalling theory. (From http://en.wikipedia.org/wiki/John_Maynard_Smith)

Primary Reference

Maynard Smith, John. (1982). Evolution and the Theory of Games. Cambridge University Press. ISBN 0521288843.