An experimental investigation of evolutionary dynamics in the Rock-Paper-Scissors game

Scientific Reports

Volumn 5, Issue , 2015, Pages

  Hoffman, Moshe ^a   Suetens, Sigrid ^b   Gneezy, Uri ^c,d   Nowak, Martin A ^a,e  

^a HARVARD UNIVERSITY   (United States)

^b TILBURG UNIVERSITY   (Netherlands)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d UNIVERSITY OF AMSTERDAM   (Netherlands)

^e HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; EVOLUTION; GAME; HUMAN;

ANIMALS; BIOLOGICAL EVOLUTION; GAMES, EXPERIMENTAL; HUMANS;

EID: 84924709444     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep08817     Document Type: Article

References (33)

1. Nash, J. F. Equilibrium points in n-person games. Proc. Natl. Acad. Sci. USA 36, 48-49 (1950).
2. Nash, J. F. Non-cooperative games. Annals of Math. 54, 286-296 (1951).
3. Myerson, R. B. Nash equilibrium and the history of economic theory. J. Econ. Li.t 36, 1067-1082 (1999).
4. Holt, C. A. & Roth, A. E. The Nash equilibrium: A perspective. Proc. Natl. Acad. Sci. USA 101, 3999-4002 (2004).
5. Friedman, D. Evolutionary games in economics. Econometrica 59, 637-666 (1991).
6. van Damme, E. Evolutionary game theory. Eur. Econ. Rev. 38, 847-858 (1994).
7. Weibull, J. Evolutionary Game Theory (The MIT Press, Cambridge, 1995).
8. Fudenberg, D. & Levine, D. K. The Theory of Learning in Games (The MIT Press, Cambridge, 1998).
9. Hofbauer, J. & Sigmund, K. Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, 1998).
10. Goeree, J. K. & Holt, C. A. Stochastic game theory: For playing games, not just for doing theory. Proc Natl Acad Sci USA 96, 10564-10567 (1999).
11. Nowak, M. Evolutionary Dynamics (Belknap Press, Cambridge, 2006).
12. Taylor, P. D. & Jonker, L. B. Evolutionarily stable strategies and game dynamics. Math. Biosc. 40, 145-156 (1978).
13. Fisher, R. A. The Genetical Theory of Natural Selection. (Oxford University Press, Oxford, 1930).
14. Wright, S. Evolution in Mendelian population. Genetics 16, 97-159 (1931).
15. Roth, A. E. & Erev, I. Learning in extensive form games: Experimental data and simple evolutionary dynamics in the intermediate term. Games Econ. Behav. 8, 164-212 (1995).
16. Erev, I. & Roth, A. E. Predicting how people play games: Reinforcement learning in experimental games with unique, mixed strategy equilibria. Am. Econ. Rev. 88, 848-881 (1998).
17. Erev, I. & Roth, A. E. Maximization, learning, and economic behavior. Proc. Natl. Acad. Sci. USA 111, 10818-10825 (2014).
18. Fudenberg, D. & Kreps, D. Learning mixed equilibria. Games Econ. Behav. 5, 320-367 (1993).
19. Börgers, T. & Sarin, R. Learning through reinforcement and replicator dynamics. J. Econ. Theory, 77, 1-14 (1997).
20. Hopkins, E. Two competing models of how people learn in games. Econometrica 70, 2141-2166 (2002).
21. Maynard Smith, J. & Price, G. R. The logic of animal conflict. Nature 246, 15-18 (1973).
22. Sandholm, W. H. Local stability under evolutionary game dynamics. Theor. Econ. 5, 27-50 (2010).
23. Erev, I. & Barron, G. On adaptation, maximization, and reinforcement learning among cognitive strategies. Psych. Rev. 112, 912-931 (2005).
24. Hopkins, E. A note on best response dynamics. Games Econ. Beh. 29, 138-150 (1999).
25. Rand, D. G., Tarnita, C. E., Ohtsuki, H. & Nowak, M. A. Evolution of fairness in the one-shot anonymous Ultimatum Game. Proc. Natl. Acad. Sci. USA 110, 2581-2586 (2013).
26. Cason, T. N., Friedman, D. & Hopkins, E. Testing the TASP: An experimental investigation of learning in games with unstable equilibria. J Econ. Th. 145, 2309-2331 (2010).
27. Cason, T. N., Friedman, D. & Hopkins, E. Cycles and instability in a Rock-Paper-Scissors population game: a continuous time experiment. Rev. Econ. Studies, doi:10.1093/restud/rdt023 (2014).
28. Ochs, J. Games with unique mixed strategy equilibria: An experimental study. Games Econ. Beh. 10, 202-217 (1995).
29. Goeree, J. K. & Holt, C. A. Ten little treasures of game theory and ten intuitive contradictions. Am. Econ. Rev. 91, 1402-1422 (2001).
30. Rassenti, S., Reynolds, S., Smith, V. & Szidarovszky, F. Adaptation and convergence of behavior in repeated experimental Cournot games. J. Econ. Beh. Org. 41, 117-146 (2000).
31. Davis, D. Behavioral convergence properties of Cournot and Bertrand markets: An experimental analysis. J. Econ. Beh. Org. 80, 443-458 (2011).
32. Cason, T. N., Friedman, D. & Wagener, F. The dynamics of price dispersion, or Edgeworth variations. J. Econ. Dyn. Control 29, 801-822 (2005).
33. Franchetti, F. & Sandholm, W. H. An introduction to Dynamo: diagrams for evolutionary game dynamics, Biol. Theory 8, 167-178 (2013).