Abstract

General models of the evolution of cooperation, altruism and other social behaviours have focused almost entirely on single traits, whereas it is clear that social traits commonly interact. We develop a general kin-selection framework for the evolution of social behaviours in multiple dimensions. We show that whenever there are interactions among social traits new behaviours can emerge that are not predicted by one-dimensional analyses. For example, a prohibitively costly cooperative trait can ultimately be favoured owing to initial evolution in other (cheaper) social traits that in turn change the cost–benefit ratio of the original trait. To understand these behaviours, we use a two-dimensional stability criterion that can be viewed as an extension of Hamilton's rule. Our principal example is the social dilemma posed by, first, the construction and, second, the exploitation of a shared public good. We find that, contrary to the separate one-dimensional analyses, evolutionary feedback between the two traits can cause an increase in the equilibrium level of selfish exploitation with increasing relatedness, while both social (production plus exploitation) and asocial (neither) strategies can be locally stable. Our results demonstrate the importance of emergent stability properties of multidimensional social dilemmas, as one-dimensional stability in all component dimensions can conceal multidimensional instability.

Highlights

  • From humans to microbes, social dilemmas (Sachs et al 2004; Lehmann & Keller 2006; West et al 2007) interact and intertwine, with individuals simultaneously constructing, defending and exploiting a diverse array of shared public goods

  • A number of theoretical studies predict that policing is favoured under conditions of low relatedness, acting to maintain cooperation via enforcement; apparently altruistic traits become favoured in the presence of policing, as the alternative selfish actions are associated with punitive sanctions

  • We treat multidimensional dilemmas as a general social phenomenon, and ask in the most general terms, what happens if social evolution occurs in a multidimensional trait space? We present a flexible model framework for the study of any multidimensional social dilemma, among relatives or non-relatives

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Summary

Introduction

Social dilemmas (Sachs et al 2004; Lehmann & Keller 2006; West et al 2007) interact and intertwine, with individuals simultaneously constructing, defending and exploiting a diverse array of shared public goods. D. Taylor Social evolution in multiple dimensions fitness effects of the different traits.

Results
Conclusion
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