Direct Reciprocity with Costly Punishment: Generous Tit-for-Tat Prevails

DSpace/Manakin Repository

Direct Reciprocity with Costly Punishment: Generous Tit-for-Tat Prevails

Citable link to this page

. . . . . .

Title: Direct Reciprocity with Costly Punishment: Generous Tit-for-Tat Prevails
Author: Rand, David Gertler; Ohtsuki, Hisashi; Nowak, Martin A.

Note: Order does not necessarily reflect citation order of authors.

Citation: Rand David G., Hisashi Ohtsuki, Martin A. Nowak. 2009. Direct reciprocity with costly punishment: Generous tit-for-tat prevails. Journal of Theoretical Biology 256(1): 45-57.
Access Status: At the direction of the depositing author this work is not currently accessible through DASH.
Full Text & Related Files:
Abstract: The standard model for direct reciprocity is the repeated Prisoner's Dilemma, where in each round players choose between cooperation and defection. Here we extend the standard framework to include costly punishment. Now players have a choice between cooperation, defection and costly punishment. We study the set of all reactive strategies, where the behavior depends on what the other player has done in the previous round. We find all cooperative strategies that are Nash equilibria. If the cost of cooperation is greater than the cost of punishment, then the only cooperative Nash equilibrium is generous-tit-for-tat (GTFT), which does not use costly punishment. If the cost of cooperation is less than the cost of punishment, then there are infinitely many cooperative Nash equilibria and the response to defection can include costly punishment. We also perform computer simulations of evolutionary dynamics in populations of finite size. These simulations show that in the context of direct reciprocity, (i) natural selection prefers generous tit-for-tat over strategies that use costly punishment, and (ii) that costly punishment does not promote the evolution of cooperation. We find quantitative agreement between our simulation results and data from experimental observations.
Published Version: doi:10.1016/j.jtbi.2008.09.015
Other Sources: http://www.ped.fas.harvard.edu/people/faculty/all_publications.html#2009
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4686796

Show full Dublin Core record

This item appears in the following Collection(s)

  • FAS Scholarly Articles [6466]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

Search DASH


Advanced Search
 
 

Submitters