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The evolution of function-valued traits for conditional cooperation

Mengel, F (2007) 'The evolution of function-valued traits for conditional cooperation.' Journal of Theoretical Biology, 245 (3). 564 - 575. ISSN 0022-5193

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Abstract

In this paper we study the evolution of function-valued traits for cooperation in environments that display varying degrees of population viscosity. Traits measure an individual's intrinsic propensity to cooperate in a standard bilateral Prisoner's dilemma and can be increasing, decreasing or constant functions of the probability to interact with individuals of ones own genotype. We first analyse adaptation to homogenous environments (with constant degree of viscosity). Comparing environments characterized by different degrees of viscosity, we find that the relation between viscosity and the equilibrium type distribution is not monotone. In fact, it is possible that in fluid populations (no viscosity) there is more cooperation in equilibrium than in populations with intermediate degrees of viscosity. In a second step we analyse heterogenous environments (with varying degrees of viscosity). We find that under very weak assumptions on the distribution of the viscosity parameter strictly increasing functions are always selected and under some parameter constellations they are uniquely so. © 2006 Elsevier Ltd. All rights reserved.

Item Type: Article
Subjects: H Social Sciences > HB Economic Theory
Q Science > Q Science (General)
Divisions: Faculty of Social Sciences > Economics, Department of
Depositing User: Friederike Mengel
Date Deposited: 28 Jan 2015 14:26
Last Modified: 17 Aug 2017 17:41
URI: http://repository.essex.ac.uk/id/eprint/12377

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