• Media type: Text; E-Article; Electronic Conference Proceeding
  • Title: Observation and Distinction. Representing Information in Infinite Games
  • Contributor: Berwanger, Dietmar [Author]; Doyen, Laurent [Author]
  • Published: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2020
  • Language: English
  • DOI: https://doi.org/10.4230/LIPIcs.STACS.2020.48
  • Keywords: Infinite Games on Finite Graphs ; Imperfect Information ; Automatic Structures
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  • Description: We compare two approaches for modelling imperfect information in infinite games by using finite-state automata. The first, more standard approach views information as the result of an observation process driven by a sequential Mealy machine. In contrast, the second approach features indistinguishability relations described by synchronous two-tape automata. The indistinguishability-relation model turns out to be strictly more expressive than the one based on observations. We present a characterisation of the indistinguishability relations that admit a representation as a finite-state observation function. We show that the characterisation is decidable, and give a procedure to construct a corresponding Mealy machine whenever one exists.
  • Access State: Open Access