Abstract
This paper describes an investigation of several 2×2 games in iterated form. Players play the games repeatedly and are limited to mixed strategies, with particular actions chosen probabilistically. The games investigated include Prisoner’s Dilemma, Chicken, and Stag Hunt in various forms. The reward structure and the granularity of the games—number of games played per generation in the replicator dynamics—are the main factors investigated, with surprising results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Robert Axelrod, The evolution of cooperation, Basic Books, Inc., New York, NY, 1984.
Richard Dawkins, The selfish gene, Oxford University Press, New York, NY, 1989.
Patrick Grim, Gary Mar, and Paul St. Denis, The philosophical computer: Exploratory essays in philosophical computer modeling, The MIT Press, Cambridge, MA, 1998.
David Hume, A treatise of human nature, Oxford: Clarendon, Oxford, UK, [1739] 1978, Selby-Bigge, ed.
R. Duncan Luce and Howard Raiffa, Games and decisions, John Wiley, New York, NY, 1957, Reprinted by Dover Books, 1989.
M. Nowak and K. Sigmund, Tit-for-tat in heterogeneous populations, Nature 355 (1992), 250–2.
—, A strategy of win-stay lose-shift that outperforms tit-for-tat in the prisoner’s dilemma game, Nature 364 (1993), 56–8.
Brian Skyrms, Evolution of the social contract, Cambridge University Press, Cambridge, UK, 1996.
—, The stag hunt, World Wide Web, 2001, Proceedings and Addresses of the American Philosophical Association. http://www.lps.uci.edu/home/fac-staff/faculty/skyrms/StagHunt.pdf. Accessed September 2004.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Chajadine, S., Mack, D., Slan, A.J. (2005). Investigations of Granularity and Payoffs in 2×2 Games under Replicator Dynamics. In: Kimbrough, S.O., Wu, D. (eds) Formal Modelling in Electronic Commerce. International Handbooks on Information Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26989-4_21
Download citation
DOI: https://doi.org/10.1007/3-540-26989-4_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21431-1
Online ISBN: 978-3-540-26989-2
eBook Packages: Business and EconomicsBusiness and Management (R0)