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The stability of cooperation involving variable investment

Lookup NU author(s): Dr Gilbert Roberts

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Abstract

In this paper, we attempt to reconcile the results of several studies which have investigated the evolution of cooperation between non-relatives in systems where investment in partners can vary. In contrast to previous proposals, we show for the first time that variable-investment cooperation can be readily maintained in inter-species mutualistic relationships even in the absence of spatial structure, but that the stability of this interaction is dependent on the particular investment-response rule that is employed. By allowing the evolution of investment-response parameters in both inter- and intra-specific versions of the continuous variable-investment Prisoners' Dilemma we show that, in the absence of further factors, the raise-the stakes (RTS) strategy is likely to evolve into a simpler, variable investment form of Give-as-Good-as-you-Get that initially offers a high fixed amount and subsequently matches its partner's investment. Nevertheless, we demonstrate that genuine RTS-like strategies will still be selected if two intuitively reasonable conditions hold: if individuals are limited in terms of the total they can invest in cooperative actions over their lifetimes, and if there are always some individuals in a population that cannot cooperate. © 2002 Elsevier Science Ltd.


Publication metadata

Author(s): Sherratt TN, Roberts G

Publication type: Article

Publication status: Published

Journal: Journal of Theoretical Biology

Year: 2002

Volume: 215

Issue: 1

Pages: 47-56

Print publication date: 01/01/2002

ISSN (print): 0022-5193

ISSN (electronic): 1095-8541

Publisher: Academic Press

URL: http://dx.doi.org/10.1006/jtbi.2001.2495

DOI: 10.1006/jtbi.2001.2495

PubMed id: 12051983


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