Best response dynamics for continuous games
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- by E. N. Barron, R. Goebel and R. R. Jensen PDF
- Proc. Amer. Math. Soc. 138 (2010), 1069-1083 Request permission
Abstract:
We extend the convergence result of Hofbauer and Sorin for the best response differential inclusions coming from a nonconcave, nonconvex continuous payoff function $U(x,y)$. A counterexample shows that convergence to a Nash equilibrium may not be true if we attempt to generalize the result to a three-person nonzero sum game.References
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Additional Information
- E. N. Barron
- Affiliation: Department of Mathematics and Statistics, Loyola University Chicago, Chicago, Illinois 60626
- MR Author ID: 31685
- Email: ebarron@luc.edu
- R. Goebel
- Affiliation: Department of Mathematics and Statistics, Loyola University Chicago, Chicago, Illinois 60626
- Email: rgoebel@luc.edu
- R. R. Jensen
- Affiliation: Department of Mathematics and Statistics, Loyola University Chicago, Chicago, Illinois 60626
- MR Author ID: 205502
- Email: rjensen@luc.edu
- Received by editor(s): May 8, 2009
- Received by editor(s) in revised form: August 18, 2009
- Published electronically: November 2, 2009
- Communicated by: Yingfei Yi
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1069-1083
- MSC (2010): Primary 91A25, 49J35; Secondary 37B25, 34D20, 26B25
- DOI: https://doi.org/10.1090/S0002-9939-09-10170-3
- MathSciNet review: 2566572