TITLE:
Symmetric Stability in Symmetric Games
AUTHORS:
Andreas Hefti
KEYWORDS:
Symmetric Games, Symmetric Equilibrium, Stability, Uniqueness
JOURNAL NAME:
Theoretical Economics Letters,
Vol.6 No.3,
June
9,
2016
ABSTRACT: The idea of symmetric stability of symmetric equilibria is introduced
which is relevant, e.g., for the comparative-statics of symmetric equilibria
with symmetric shocks. I show that symmetric stability can be expressed in a
two-player reduced-form version of the N-player
game, derive an elementary relation between symmetric stability and the
existence of exactly one symmetric equilibrium, and apply symmetric
stability to a two-dimensional N-player
contest.