The Algebra of Assortative Encounters and the Evolution of Cooperation

This file is part of IDEAS, which uses RePEc data

The Algebra of Assortative Encounters and the Evolution of Cooperation

Author Info

Ted Bergstrom (University of California, Santa Barbara)

Additional information is available for the following registered author(s):

Ted Bergstrom

Abstract

This paper explores the quantitative relation between non random, assortative matching and the maintenance of cooperative behavior under evolutionary dynamics. It considers a population of individuals who are hardwired to play either cooperate or defect. They meet other individuals according to some random process and play their programmed strategy in a game of Prisoners' Dilemma. The type that gets the higher expected payoff reproduces more rapidly. The paper defines an index of assortativity of encounters and develops an "algebra of assortative encounters." The paper also calculates the index of assortativity for games between relatives with either cultural or genetic inheritance and shows the logical connection between the index of assortativity and Hamilton's theory of kin selection. The index of assortativity is used to determine the population dynamics when players select their partners, using partially informative cues about each others' types.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. 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.

Publisher Info
Paper provided by Department of Economics, UC Santa Barbara in its series University of California at Santa Barbara, Economics Working Paper Series with number 2001A.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: 27 Jan 2001
Date of revision:
Handle: RePEc:cdl:ucsbec:2001a

Note: oai:cdlib1:
Contact details of provider:
Postal: 2127 North Hall, Santa Barbara, CA 93106-9210
Phone: (805) 893-3670
Fax: (805) 893-8830
Web page: http://repositories.cdlib.org/ucsbecon/dwp/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Other versions of this item:

Paper
- Ted Bergstrom, 2001. "The Algebra of Assortative Encounters and the Evolution of Cooperation," University of California at Santa Barbara, Economics Working Paper Series wp13-01, Department of Economics, UC Santa Barbara. [Downloadable!]
- Ted Bergstrom, 2003. "The Algebra of Assortative Encounters and the Evolution of Cooperation," University of California at Santa Barbara, Economics Working Paper Series 2003C, Department of Economics, UC Santa Barbara. [Downloadable!]
- Theodore C. Bergstrom, . "The Algebra of Assortative Encounters and the Evolution of Cooperation," University of California at Santa Barbara, Economics Working Paper Series 13-01, Department of Economics, UC Santa Barbara. [Downloadable!]

References listed on IDEAS
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.:

Ted Bergstrom, 1995. "On the Evolution of Altruistic Ethical Rules for Siblings," University of California at Santa Barbara, Economics Working Paper Series 1995A, Department of Economics, UC Santa Barbara. [Downloadable!]
Other versions:
- Theodore C. Bergstrom, . "On the Evolution of Altruistic Ethical Rules for Siblings," ELSE working papers 017, ESRC Centre on Economics Learning and Social Evolution.
- Ted Bergstrom, . "On the Evolution of Altruistic Ethical Rules for Siblings," Papers _023, University of Michigan, Department of Economics. [Downloadable!]
- Bergstrom, Theodore C, 1995. "On the Evolution of Altruistic Ethical Rules for Siblings," American Economic Review, American Economic Association, vol. 85(1), pages 58-81, March. [Downloadable!] (restricted)
Myerson, Roger B. & Pollock, Gregory B. & Swinkels, Jeroen M., 1991. "Viscous population equilibria," Games and Economic Behavior, Elsevier, vol. 3(1), pages 101-109, February. [Downloadable!] (restricted)
Other versions:
- Roger B. Myerson, 1990. "Viscous Population Equilibria," Discussion Papers 906, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Ted Bergstrom & Oded Stark, 1993. "How Altruism Can Prevail in an Evolutionary Environment," University of California at Santa Barbara, Economics Working Paper Series 1993B, Department of Economics, UC Santa Barbara. [Downloadable!]
Other versions:
- Ted Bergstrom & Oded Stark, . "How Altruism Can Prevail in an Evolutionary Environment," Papers _024, University of Michigan, Department of Economics. [Downloadable!]
- Theodore C. Bergstrom & Oded Stark, 1994. "How Altruism Can Prevail in an Evolutionary Environment," Microeconomics 9401001, EconWPA. [Downloadable!]
- Bergstrom, T.C. & Stark, O., 1993. "How Altruism Can Prevail in an Evolutionary Environment," Papers 93-01, Michigan - Center for Research on Economic & Social Theory.
- Bergstrom, Theodore C & Stark, Oded, 1993. "How Altruism Can Prevail in an Evolutionary Environment," American Economic Review, American Economic Association, vol. 83(2), pages 149-55, May. [Downloadable!] (restricted)
Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.

Full references

Cited by:
(explanations, 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.)

Ingela Alger & Jörgen Weibull, 2008. "The fetters of the sib: Weber meets Darwin," Working Papers hal-00354241_v1, HAL. [Downloadable!]
Other versions:
- Alger, Ingela & Weibull, Jörgen, 2007. "The Fetters of the Sib: Weber Meets Darwin," Working Paper Series in Economics and Finance 682, Stockholm School of Economics. [Downloadable!]
Deby Cassill & Indira Kuriachan & S. Vinson, 2007. "A Test of Two Skew Models to Explain Cooperative Breeding," Journal of Bioeconomics, Springer, vol. 9(1), pages 19-37, April. [Downloadable!] (restricted)
Ingela Alger & Jörgen W. Weibull, 2006. "Altruism and Climate," Boston College Working Papers in Economics 643, Boston College Department of Economics. [Downloadable!]
Other versions:
- Weibull, Jörgen & Alger, Ingela, 2006. "Altruism and Climate," Working Paper Series in Economics and Finance 633, Stockholm School of Economics, revised 31 Aug 2006. [Downloadable!]
Ted Bergstrom, 2001. "Evolution of Social Behavior: Individual and Group Selection Models," University of California at Santa Barbara, Economics Working Paper Series wp14-01, Department of Economics, UC Santa Barbara. [Downloadable!]
Other versions:
- Theodore C. Bergstrom, . "Evolution of Social Behavior: Individual and Group Selection Models," University of California at Santa Barbara, Economics Working Paper Series 14-01, Department of Economics, UC Santa Barbara. [Downloadable!]
Thierry Vignolo, 2007. "Imitation and Selective Matching in Reputational Games," Economics Working Papers ECO2007/31, European University Institute. [Downloadable!]
Philipp C. Wichardt, 2007. "Why and How Identity Should Influence Utility," Discussion Papers 193, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
Chun-Lei Yang & Ching-Syang Jack Yue & I-Tang Yu, 2007. "The rise of cooperation in correlated matching prisoners dilemma: An experiment," Experimental Economics, Springer, vol. 10(1), pages 3-20, March. [Downloadable!] (restricted)

Statistics

Access and download statistics

Did you know? Over five million full texts a year are downloaded through IDEAS.

This page was last updated on 2009-12-12.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.