Conditional strategy equilibrium

TL;DR

This paper introduces the concept of conditional strategy equilibrium in non-cooperative games, proving its existence and analyzing its efficiency and coalition-proofness properties.

Contribution

It establishes the existence of conditional strategy equilibrium and explores its key properties in multi-player game settings.

Findings

Existence of conditional strategy equilibrium proven.

Analysis of efficiency properties.

Assessment of coalition-proofness in n-player games.

Abstract

In this note, we prove the existence of an equilibrium concept, dubbed conditional strategy equilibrium, for non-cooperative games in which a strategy of a player is a function from the other players' actions to her own actions. We study the properties of efficiency and coalition-proofness of the conditional strategy equilibrium in $n$-person games.