Permanence in Polymatrix Replicators

Telmo Peixe

No 2019/69, Working Papers REM from ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa

Abstract: Generally a biological system is said to be permanent if under small perturbations none of the species goes to extinction. In 1979 P. Schuster, K. Sigmund, and R. Wolff [14] introduced the concept of permanence as a stability notion for systems that models the self-organization of biological macromolecules. After, in 1987 W. Jansen [8], and J. Hofbauer and K. Sigmund [5] give sufficient conditions for permanence in the usual replicators. In this paper we extend these results for polymatrix replicators.

Keywords: Permanence; Polymatrix Replicator; Stability; Replicator equation; Evolutionary game theory; Lotka-Volterra. (search for similar items in EconPapers)
Date: 2019-02
New Economics Papers: this item is included in nep-evo and nep-gth
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:ise:remwps:wp0692019

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