Replicator Dynamics and Evolutionary Stable Strategies in Heterogeneous Games
AbstractWe generalise and extend the work of Iñarra and Laruelle (2011) by studying two person symmetric evolutionary games with two strategies, a heterogenous population with two possible types of individuals and incomplete information. Comparing such games with their classic homogeneous version vith 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 Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 2011-57.
Date of creation: Dec 2011
Date of revision:
Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
Other versions of this item:
- André Barreira da Silva Rocha & Annick Laruelle & Peio Zuazo, 2012. "Replicator Dynamics and Evolutionary Stable Strategies in Heterogeneous Games," Discussion Papers in Economics 11/54, Department of Economics, University of Leicester.
- NEP-ALL-2012-03-08 (All new papers)
- NEP-CTA-2012-03-08 (Contract Theory & Applications)
- NEP-EVO-2012-03-08 (Evolutionary Economics)
- NEP-GTH-2012-03-08 (Game Theory)
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.:
- 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.
- 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.
- 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.
- 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.
- Barreira da Silva Rocha, André & Laruelle, Annick, 2012.
"Evolution of Cooperation in the Snowdrift Game with Incomplete Information and Heterogeneous Population,"
2012-62, 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Javier Arín).
If references are entirely missing, you can add them using this form.