DI-UMONS : Dépôt institutionnel de l’université de Mons

Recherche transversale
Rechercher
(titres de publication, de périodique et noms de colloque inclus)
2013-04-12 - Colloque/Présentation - communication orale - Anglais - 29 page(s)

Randour Mickaël , "Looking at Mean-Payoff and Total-Payoff through Windows" in CASSTING European Project kick-off meeting, Paris, France, 2013

  • Codes CREF : Logique mathématique (DI1170), Théorie des algorithmes (DI1164), Informatique mathématique (DI1160), Informatique générale (DI1162), Théorie de la décision et des jeux (DI1134)
  • Unités de recherche UMONS : Informatique théorique (S829)
  • Instituts UMONS : Institut de Recherche en Technologies de l’Information et Sciences de l’Informatique (InforTech), Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Modélisation mathématique et informatique (CREMMI)
Texte intégral :

Abstract(s) :

(Anglais) We consider two-player games played on weighted directed graphs with mean-payoff and total-payoff objectives, which are two classical quantitative objectives. While for single-dimensional objectives all results for mean-payoff and total-payoff coincide, we show that in contrast to multi-dimensional mean-payoff games that are known to be coNP-complete, multi-dimensional total-payoff games are undecidable. We introduce conservative approximations of these objectives, where the payoff is considered over a local finite window sliding along a play, instead of the whole play. For single dimension, we show that (i) if the window size is polynomial, then the problem can be solved in polynomial time, and (ii) the existence of a bounded window can be decided in NP $\cap$ coNP, and is at least as hard as solving mean-payoff games. For multiple dimensions, we show that (i) the problem with fixed window size is EXPTIME-complete, and (ii) there is no primitive-recursive algorithm to decide the existence of a bounded window.