How good is a strategy in a game with nature?

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Abstract

We consider games with two antagonistic players - Éloïse (modelling a program) and Abelard (modelling a byzantine environment) - and a third, unpredictable and uncontrollable player, that we call Nature. Motivated by the fact that the usual probabilistic semantics very quickly leads to undecidability when considering either infinite game graphs or imperfect information, we propose two alternative semantics that leads to decidability where the probabilistic one fails: one based on counting and one based on topology.

Original languageEnglish
Title of host publicationProceedings - 2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages609-620
Number of pages12
ISBN (Electronic)9781479988754
DOIs
Publication statusPublished - 31 Jul 2015
Externally publishedYes
Event30th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2015 - Kyoto, Japan
Duration: 6 Jul 201510 Jul 2015

Publication series

NameProceedings - Symposium on Logic in Computer Science
Volume2015-July
ISSN (Print)1043-6871

Conference

Conference30th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2015
Country/TerritoryJapan
CityKyoto
Period6/07/1510/07/15

Keywords

  • Cardinality constraints
  • Large sets of branches
  • Qualitative study of games
  • Tree automata

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