Information Tracking in Games on Graphs

  • Authors:
  • Dietmar Berwanger;Łukasz Kaiser

  • Affiliations:
  • LSV, CNRS & ENS Cachan, Paris, France;RWTH, Aachen, Germany

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

When seeking to coordinate in a game with imperfect information, it is often relevant for a player to know what other players know. Keeping track of the information acquired in a play of infinite duration may, however, lead to infinite hierarchies of higher-order knowledge. We present a construction that makes explicit which higher-order knowledge is relevant in a game and allows us to describe a class of games that admit coordinated winning strategies with finite memory.