# Almost global convergence to p-dominant equilibrium

## Author Info

Listed author(s):
• William H. Sandholm

()

(Department of Economics, University of Wisconsin, 1180 Observatory Drive, Madison, WI 53706)

## Abstract

A population of players repeatedly plays an n strategy symmetric game. Players update their strategies by sampling the behavior of k opponents and playing a best response to the distribution of strategies in the sample. Suppose the game possesses a ${1 \over k}$-dominant strategy which is initially played by a positive fraction of the population. Then if the population size is large enough, play converges to the ${1 \over k}$-dominant equilibrium with arbitrarily high probability.

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## Bibliographic Info

Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 30 (2001)
Issue (Month): 1 ()
Pages: 107-116

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 Handle: RePEc:spr:jogath:v:30:y:2001:i:1:p:107-116 Note: Received December 1999/Revised version November 2000 Contact details of provider: Web page: http://www.springer.com Order Information: Web: http://www.springer.com/economics/economic+theory/journal/182/PS2

## References

References listed on IDEAS
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1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
2. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
3. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-157, January.
4. Saez-Marti, Maria & Weibull, Jorgen W., 1999. "Clever Agents in Young's Evolutionary Bargaining Model," Journal of Economic Theory, Elsevier, vol. 86(2), pages 268-279, June.
5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
6. Kaniovski Yuri M. & Young H. Peyton, 1995. "Learning Dynamics in Games with Stochastic Perturbations," Games and Economic Behavior, Elsevier, vol. 11(2), pages 330-363, November.
7. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
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