Relationship between aggregation of rewards and the possibility of polymorphism in continuous snowdrift games

Journal of Theoretical Biology
Koichi ItoAtsushi Yamauchi

Abstract

The existence of intra-population variations in cooperation level has often been reported by some empirical studies. Evolutionary conditions of polymorphism in cooperation have been investigated by using a framework of the continuous snowdrift game. However, our insights from this framework have been limited because of an assumption that the cooperative reward is a function of total amount of investments within an interacting group. In many cases, payoffs may actually depend on the interactions between the effects of such investments, such as members share the sum of beneficial effects that are individually produced from their own investments. Alternatively, payoffs may depend multiplicatively on investment, such as when investments are complementary. In the present paper, we investigated the influence of such difference on the evolution of cooperation with respect to three aspects of the aggregating process of individuals' contributions for reward, i.e. (i) additive or multiplicative, (ii) aggregation of either investments or effects, and (iii) promotion of advantage or suppression of disadvantage. We analytically show that the possibilities of the emergence of polymorphism are different depending on the type of aggregation pr...Continue Reading

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Citations

Jun 15, 2016·Journal of Mathematical Biology·Chai Molina, David J D Earn
Aug 1, 2021·Journal of Mathematical Biology·Chai Molina, David J D Earn

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