On the existence and the number of limit cycles in evolutionary games
AbstractIn 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.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 33895.
Date of creation: 2011
Date of revision:
limit cycles; evolutionary game theory; Kukles system; Dulac-Cherkas function;
Find related papers by JEL classification:
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-10-15 (All new papers)
- NEP-EVO-2011-10-15 (Evolutionary Economics)
- NEP-GTH-2011-10-15 (Game Theory)
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