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International Journal of Game Theory

, Volume 43, Issue 2, pp 395–402 | Cite as

On the equivalence between (quasi-)perfect and sequential equilibria

  • Carlos Pimienta
  • Jianfei Shen
Article

Abstract

We prove the generic equivalence between quasi-perfect equilibrium and sequential equilibrium. Combining this result with Blume and Zame (Econometrica 62:783–794, 1994) shows that perfect, quasi-perfect and sequential equilibrium coincide in generic games.

Keywords

Backwards induction Perfect equilibrium Quasi-perfect equilibrium Sequential equilibrium Lower-hemicontinuity Upper-hemicontinuity 

JEL Classification

C72 

Notes

Acknowledgments

We thank Priscila Man, the associate editor and two anonymous reviewers for thoughtful comments that improved the presentation and content of the paper. Carlos thanks financial support from UNSW ASBRG 2010. Jianfei thanks financial support from Shandong University grants IFYT12071 and 2013HW006. The usual disclaimer applies.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of EconomicsThe University of New South WalesSydneyAustralia
  2. 2.School of EconomicsShandong UniversityJinanChina

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