International Journal of Game Theory

, Volume 28, Issue 4, pp 447–463 | Cite as

The emergence of kinship behavior in structured populations of unrelated individuals

  • Ilan Eshel
  • Emilia Sansone
  • Avner Shaked

Abstract.

The paper provides an explanation for altruistic behavior based on the matching and learning technology in the population. In a infinite structured population, in which individuals meet and interact with their neighbors, individuals learn by imitating their more successful neighbors. We ask which strategies are robust against invasion of mutants: A strategy is unbeatable if when all play it and a finite group of identical mutants enters then the learning process eliminates the mutants with probability 1. We find that such an unbeatable strategy is necessarily one in which each individual behaves as if he is related to his neighbors and takes into account their welfare as well as his. The degree to which he cares depends on the radii of his neighborhoods.

Key words: Population dynamics Local interaction altruism inclusive fitness 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Ilan Eshel
    • 1
  • Emilia Sansone
    • 2
  • Avner Shaked
    • 3
  1. 1.Department of Statistics, School of Mathematical Sciences, Tel Aviv University, Tel Aviv, IsraelIL
  2. 2.Department of Mathematics and its Applications, University of Naples, I-80138 Naples, ItalyIT
  3. 3.Economics Department, Bonn University, 24 Adenauerallee, D-53113 Bonn, Germany (e-mail: shaked@econ3.uni-bonn.de)DE

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