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arXiv · 1809.05978

Observation and Distinction. Representing Information in Infinite Games

Dietmar Berwanger·Laurent Doyen
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Abstract

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.

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Dietmar Berwanger, Laurent Doyen. 2018-09-16. Observation and Distinction. Representing Information in Infinite Games. https://arxiv.org/abs/1809.05978

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