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Best reply structure and equilibrium convergence in generic games

Abstract:

Game theory is widely used as a behavioral model for strategic interactions in biology and social science. It is common practice to assume that players quickly converge to an equilibrium, e.g. a Nash equilibrium, but in some situations convergence fails. Existing research studies the problem of equilibrium convergence in classes of games with special properties. Here we take a different approach, conventional in ecology and in other natural sciences: we generate payoff matrices at random to c...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Cross College
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Wolfson College
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Christ Church
Publisher:
American Association for the Advancement of Science Publisher's website
Journal:
Science Advances Journal website
Volume:
5
Issue:
2
Pages:
eaat1328
Publication date:
2019-02-01
Acceptance date:
2018-12-07
DOI:
EISSN:
2375-2548
Pubs id:
pubs:951471
URN:
uri:e151f3ee-1c33-431b-a52d-6630368557e6
UUID:
uuid:e151f3ee-1c33-431b-a52d-6630368557e6
Local pid:
pubs:951471

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