Public Announcements in Strategic Games with Arbitrary Strategy Sets

TL;DR

This paper generalizes the concept of public announcements in strategic games to include arbitrary strategy sets and various optimality notions, distinguishing between announcements of optimality and rationality.

Contribution

It introduces a broad framework for public announcements applicable to diverse strategic games and optimality concepts, extending previous work limited to specific cases.

Findings

Framework covers arbitrary strategy sets

Distinguishes between optimality and rationality announcements

Applicable to various optimality notions

Abstract

In [Van Benthem 2007] the concept of a public announcement is used to study the effect of the iterated elimination of strictly dominated strategies. We offer a simple generalisation of this approach to cover arbitrary strategic games and many optimality notions. We distinguish between announcements of optimality and announcements of rationality.