# Equilibrium selection through \(\mathbf {p}_{u}\)-dominance

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## Abstract

The paper introduces and discusses the concept of \(\mathbf {p}_{u}\)-dominance in the context of finite games in normal form. It then presents the \(\mathbf { p}_{u}\)-dominance criterion for equilibrium selection. The \(\mathbf {p}_{u}\)-dominance criterion is inspired by and closely related to the \(\mathbf {p}\)-dominance criterion originally proposed by Morris et al. (Econometrica 63:145–157, 1995). However, there are games in which the two criteria lead to different refinements. We provide sufficient conditions under which equilibrium selection through \(\mathbf {p}_{u}\)-dominance is weakly finer (respectively, coarser) than equilibrium selection through \(\mathbf {p}\)-dominance.

## Keywords

Equilibrium selection Normal form games \(\mathbf {p}_{u}\)-Dominance \(\mathbf {p}\)-Dominance## JEL Classification

C72 C73## References

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