Topics in the Theory of ESS’s
The notion of an ESS is discussed, and illustrated with the aid of certain mathematical models. After examining the definition of an ESS, the War of Attrition with 2 players, with random rewards and with n players is discussed. Certain aspects of the dynamic system driven by conflicts are illustrated using the Rock-Scissor-Paper game. Finally the notion of a pattern of ESS’s is introduced.
KeywordsPure Strategy Stable Strategy Payoff Matrix Negative Exponential Discrete Dynamic
Unable to display preview. Download preview PDF.
- Bishop, D.T. (1978), Models in animal conflicts, Ph.D. Thesis, University of Sheffield.Google Scholar
- Feller, W. (1950), An Introduction to Probability Theory and Its Applications, Wiley, New York.Google Scholar
- Haigh, J. and Cannings, C. (1988), The n-person war of attrition, in: Proc. IASS Conference on Biomathematics (K. Sigmund, ed.), Kluwer, Dordrecht.Google Scholar
- Kingman, J.F.C. (1961), A mathematical problem in population genetics, Proc. Camb. Phil. Soc. 57, 424–432.Google Scholar
- Luce, R.D. and Raiffa, H. (1957), Games and Decisions, Wiley, New York.Google Scholar
- Maynard Smith, J. (1982), Evolution and the Theory of Games, Cambridge University Press.Google Scholar
- Turán, P. (1954), On the theory of graphs, Colloq. Math. 3, 19–30.Google Scholar
- Zeeman, E.C. (1980), Population dynamics for game theory, in: Global Theory of Dynamical Systems (Z. Nitecki, C. Robinston, eds.), Springer-Verlag, Berlin.Google Scholar