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

Moreira, Helmar Nunes and Araujo, Ricardo Azevedo (2011): On the existence and the number of limit cycles in evolutionary games.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: limit cycles, evolutionary game theory, Kukles system, Dulac-Cherkas function
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games

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