On the existence and the number of limit cycles in evolutionary games

Helmar Moreira and Ricardo Araujo

MPRA Paper from University Library of Munich, Germany

Abstract: In this paper it is shown that an extended evolutionary system proposed by Hofbauer and Sigmund (1998) may be transformed into a Kukles system. Then a Dulac-Cherkas function related to the Kukles system is derived, which allows us to determine the number of limit cycles or its non-existence.

Keywords: limit cycles; evolutionary game theory; Kukles system; Dulac-Cherkas function (search for similar items in EconPapers)
JEL-codes: C02 C73 (search for similar items in EconPapers)
Date: 2011
New Economics Papers: this item is included in nep-evo and nep-gth
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:33895

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