Abstract
This work explores an application of the spatial prisoner’s dilemma in two situations: when all agents use the same type of behavior and when they use a mix of behaviors. Our aim is to explore the evolutionary dynamics of this game to analyze the dominance of one strategy over the other. We also investigate, in some possible scenarios, which behavior has better performance when they all coexist in the same environment.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Yuan. M., Chrisman, N., “Jack” Owens, J.B., Dobson, J.E., Goodchild, M.F., Moll, G., Gallis, M., Millar, H., Getis, A., Wrigth, D.J.: GIS Best Practices. Essays on Geography and GIS. ESRI, Sept 2008
Axelrod, R.: The Evolution of Cooperation. Basic Books, New York (1984)
Bonanno, G.: Branching time, perfect information games and backward induction. Department of Economics, University of California, Nov 1999
Epstein, J.M.: Zones of cooperation in demographic prisoner’s dilemma. Complexity 4, 36–48 (1996)
Epstein, J.M.: Zones of cooperation in demographic prisoner’s dilemma. Working Papers 97-12-094, Santa Fe Institute, Dec 1997
Tucker, A.W., Kuhn, H.W.: Contributions to the Theory of Games I. Annals of Mathematics Studies, no. 24. Princeton University Press, Princeton (1950)
Hoffmann, R., Waring, N.: The localisation of interaction and learning in the repeated prisoner’s dilemma. Working Papers 96-08-064, Santa Fe Institute, Aug 1996
Isaac, A.G.: Simulating evolutionary games: a python-based introduction. J. Artif. Soc. Soc. Simul. 11(3), 8 (2008)
Jun, T., Sethi, R.: Neighborhood structure and the evolution of cooperation. J. Evol. Econ. 17, 623Ű-646 (2007)
Kirchkamp, O.: Spatial evolution of automata in the prisoner’s dilemma. In: Social Science Microsimulation [Dagstuhl Seminar, May, 1995], pp. 307–358, London, UK. Springer, Berlin (1996)
Kirchkamp, O.: Spatial evolution of automata in the prisoners’ dilemma. J. Econ. Behav. Organ. 43(2), 239–262 (2000)
Kraines, D., Kraines, V.: Learning to cooperate with pavlov an adaptive strategy for the iterated prisoner’s dilemma with noise. J. Theory Decis. 35(2), 107-Ű150 (1993)
Kraines, D., Kraines, V.: The threshold of cooperation among adaptive agents: Pavlov and the stag hunt. In: ECAI ’96: Proceedings of the Workshop on Intelligent Agents III, Agent Theories, Architectures, and Languages, pp. 219–231, London, UK. Springer, Berlin (1997)
Sycara, K., Luo, L., Chakraborty, N.: PrisonerŠs dilemma on graphs with heterogeneous agents (2009)
Masuda, N., Aihara, K.: Spatial prisoner’s dilemma optimally played in small-world networks. Phys. Lett. 13, 55–61 (2003)
Nowak, M.A.: Evolutionary Dynamics: Exploring the Equations of Life. Harvard University Press, Cambridge, MA (2006)
Nowak, M.A., May, R.M.: The Spatial Dilemmas of Evolution. University of Oxford, Oxford (1992)
Power, C.: A spatial agent-based model of n-person prisoner’s dilemma cooperation in a socio-geographic community. J. Artif. Soc. Soc. Simul. 12, 1 (2009)
R Development Core Team. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, 2009. ISBN 3-900051-07-0.
Szabó, G., Fáth, G.: Evolutionary Games on Graphs. Physics Reports (2007)
Wakano, J.Y., Yamamura, N.: A simple learning strategy that realizes robust cooperation better than pavlov in iterated prisoners’ dilemma. J. Ethol. 19, 1–8 (2001)
Wolfram, S.: Computation Theory of Cellular Automata. Princeton University Press, Princeton (1984)
Xianyu, B.: Social preference, incomplete information, and the evolution of ultimatum game in the small world networks: An agent-based approach. J. Artif. Soc. Soc. Simul. 13, 2 (2010)
Wang, X.-L., Sheng, Z.-H., Hou, Y.-Z., Du, J.-G.: The Evolution of Cooperation with Memory, Learning, and Dynamic Preferential Selection in Spatial Prisoner’s Dilemma Game. International Symposium on Nonlinear Dynamics. J. Phys. Conf. Ser. 96, 1–6 (2007)
Zimmermann, M.G., Eguíluz, V.M.: Cooperation, social networks, and the emergence of leadership in a prisoner’s dilemma with adaptive local interactions. Phys. Rev. E 72(5), 056118 (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Silva, C., Pereira, W., Knotek, J., Campos, P. (2011). Evolutionary Dynamics of the Spatial Prisoner’s Dilemma with Single and Multi-Behaviors: A Multi-Agent Application. In: Peixoto, M., Pinto, A., Rand, D. (eds) Dynamics, Games and Science II. Springer Proceedings in Mathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14788-3_49
Download citation
DOI: https://doi.org/10.1007/978-3-642-14788-3_49
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14787-6
Online ISBN: 978-3-642-14788-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)