Replicator Dynamics and Evolutionary Stable Strategies in Heterogeneous Games
AbstractWe generalise and extend the work of Inarra and Laruelle (2011) by studying two person symmetric evolutionary games with two strategies, a heterogeneous population with two possible types of individuals and incomplete information. Comparing such games with their classic homogeneous version with complete information found in the literature, we show that for the class of anti-coordination games the only evolutionarily stable strategy vanishes. Instead, we find infinite neutrally stable strategies. We also model the evolutionary process using two different replicator dynamics setups, each with a different inheritance rule, and we show that both lead to the same results with respect to stability.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 11/54.
Date of creation: Jan 2012
Date of revision:
Contact details of provider:
Postal: Department of Economics University of Leicester, University Road. Leicester. LE1 7RH. UK
Phone: +44 (0)116 252 2887
Fax: +44 (0)116 252 2908
Web page: http://www2.le.ac.uk/departments/economics
More information through EDIRC
Other versions of this item:
- Zuazo Garín, Peio & Rocha, André Barreira da Silva & Laruelle, Annick, 2011. "Replicator Dynamics and Evolutionary Stable Strategies in Heterogeneous Games," IKERLANAK 2011-57, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
- NEP-ALL-2012-02-01 (All new papers)
- NEP-ECM-2012-02-01 (Econometrics)
- NEP-ETS-2012-02-01 (Econometric Time Series)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Daniel Friedman, 1998.
"On economic applications of evolutionary game theory,"
Journal of Evolutionary Economics,
Springer, vol. 8(1), pages 15-43.
- Daniel Friedman, 2010. "On Economic Applications of Evolutionary Game Theory," Levine's Working Paper Archive 53, David K. Levine.
- Xu, C. & Ji, M. & Yap, Yee Jiun & Zheng, Da-Fang & Hui, P.M., 2011. "Costly punishment and cooperation in the evolutionary snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1607-1614.
- Ross Cressman & Jean-Francois Wen & William Morrison, 1998. "On the Evolutionary Dynamics of Crime," Canadian Journal of Economics, Canadian Economics Association, vol. 31(5), pages 1101-1117, November.
- Iñarra García, María Elena & Laruelle, Annick, 2011. "Discriminating by Tagging: Artificial Distinction, Real Discrimination," IKERLANAK 2011-50, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
- André Barreira da Silva Rocha & Annick Laruelle, 2012.
"Evolution of Cooperation in the Snowdrift Game with Incomplete Information and Heterogeneous Population,"
Discussion Papers in Economics
12/12, Department of Economics, University of Leicester, revised Sep 2012.
- Barreira da Silva Rocha, André & Laruelle, Annick, 2012. "Evolution of Cooperation in the Snowdrift Game with Incomplete Information and Heterogeneous Population," IKERLANAK 2012-62, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
- André Barreira da Silva Rocha, 2012.
"Evolutionary Dynamics of Nationalism and Migration,"
Discussion Papers in Economics
12/11, Department of Economics, University of Leicester, revised Jun 2012.
- Barreira da Silva Rocha, André, 2013. "Evolutionary dynamics of nationalism and migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3183-3197.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mrs. Alexandra Mazzuoccolo).
If references are entirely missing, you can add them using this form.