Chaotic and deterministic switching in a two-person game

Manuela A. D. Aguiar () and Sofia B. S. D. Castro ()
Additional contact information
Manuela A. D. Aguiar: Faculdade de Economia, Universidade do Porto
Sofia B. S. D. Castro: Faculdade de Economia, Universidade do Porto

FEP Working Papers from Universidade do Porto, Faculdade de Economia do Porto

Abstract: We study robust long-term complex behaviour in the Rock-Scissors-Paper game with two players, played using reinforcement learning. The complex behaviour is connected to the existence of a heteroclinic network for the dynamics. This network is made of three heteroclinic cycles consisting of nine equilibria and the trajectories connecting them. We provide analytical proof both for the existence of chaotic switching near the heteroclinic network and for the relative asymptotic stability of at least one cycle in the network, leading to behaviour ranging from almost deterministic actions to chaotic-like dynamics. Our results are obtained by making use of the symmetry of the original problem, a new approach in the context of learning.

Keywords: learning process; dynamics; switching; chaos (search for similar items in EconPapers)
JEL-codes: C72 D83 (search for similar items in EconPapers)
Pages: 22 pages
Date: 2008-12
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.fep.up.pt/investigacao/workingpapers/08.12.19_wp305.pdf (application/pdf)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://www.fep.up.pt/investigacao/workingpapers/08.12.19_wp305.pdf [302 Found]--> https://fep.up.pt/investigacao/workingpapers/08.12.19_wp305.pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:por:fepwps:305

Access Statistics for this paper

More papers in FEP Working Papers from Universidade do Porto, Faculdade de Economia do Porto Contact information at EDIRC.
Bibliographic data for series maintained by ().