The Explanatory Relevance of Nash Equilibrium: One-Dimensional Chaos in Boundedly Rational Learning

Philosophy of Science 80 (5):783-795 (2013)
  Copy   BIBTEX


Game theory is often used to explain behavior. Such explanations often proceed by demonstrating that the behavior in question is a Nash equilibrium. Agents are in Nash equilibrium if each agent’s strategy maximizes her payoff given her opponents’ strategies. Nash equilibriums are fundamentally static, but it is usually assumed that equilibriums will be the outcome of a dynamic process of learning or evolution. This article demonstrates that, even in the most simple setting, this need not be true. In two-strategy games with just a single equilibrium, a family of imitative learning dynamics does not lead to equilibrium



    Upload a copy of this work     Papers currently archived: 76,479

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Probe and Adjust.Simon M. Huttegger - 2013 - Biological Theory 8 (2):195-200.
The relevance of Nash equilibrium to psychiatric disorders.Tassos Patokos - 2011 - Theoretical Medicine and Bioethics 32 (4):245-258.
Maximin play in completely mixed strategic games.Vitaly Pruzhansky - 2013 - Theory and Decision 75 (4):543-561.
Games without rules.Flavio Menezes & John Quiggin - 2007 - Theory and Decision 63 (4):315-347.
An axiomatic analysis of the Nash equilibrium concept.Hannu Salonen - 1992 - Theory and Decision 33 (2):177-189.
Refinements of Nash Equilibrium: A critique.Robin Cubitt - 1989 - Theory and Decision 26 (2):107-131.
What is rational about Nash equilibria?Mathias Risse - 2000 - Synthese 124 (3):361 - 384.
Correlated strategies as Institutions.Daniel G. M. Arce - 1997 - Theory and Decision 42 (3):271-285.


Added to PP

28 (#419,425)

6 months
2 (#302,213)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

References found in this work

Equilibrium explanation.Elliott Sober - 1983 - Philosophical Studies 43 (2):201 - 210.
Deterministic Chaos and the Evolution of Meaning.Elliott O. Wagner - 2012 - British Journal for the Philosophy of Science 63 (3):547-575.
Chaos and the Explanatory Significance of Equilibrium: Strange Attractors in Evolutionary Game Dynamics.Brian Skyrms - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:374-394.

Add more references