Sequential Equilibrium in Games of Imperfect Recall

Abstract

Although the definition of sequential equilibrium can be applied without change to games of imperfect recall, doing so leads to arguably inappropriate results. We redefine sequential equilibrium so that the definition agrees with the standard definition in games of perfect recall while still giving reasonable results in games of imperfect recall. The definition can be viewed as trying to capture a notion of ex ante sequential equilibrium. The picture here is that players choose their strategies before the game starts and are committed to it, but they choose it in such a way that it remains optimal even off the equilibrium path. A notion of interim sequential equilibrium is also considered.

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 28, 2021
Source ID
10.1145/3485002

Entities

People

  • Joseph Halpern
  • Rafael Pass

Organizations

  • Air Force Office of Scientific Research
  • Bulgarian Science Fund
  • Cornell University
  • National Science Foundation

Tags

Fields of Study

  • Economics

Readers

  • Game Theory.
  • Strategic Security Studies