J 2013

Continuous-Time Stochastic Games with Time-Bounded Reachability

BRÁZDIL, Tomáš, Vojtěch FOREJT, Jan KRČÁL, Jan KŘETÍNSKÝ, Antonín KUČERA et. al.

Basic information

Original name

Continuous-Time Stochastic Games with Time-Bounded Reachability

Authors

BRÁZDIL, Tomáš (203 Czech Republic, belonging to the institution), Vojtěch FOREJT (203 Czech Republic, belonging to the institution), Jan KRČÁL (203 Czech Republic, belonging to the institution), Jan KŘETÍNSKÝ (203 Czech Republic, guarantor, belonging to the institution) and Antonín KUČERA (203 Czech Republic, belonging to the institution)

Edition

Information and Computation, Elsevier, 2013, 0890-5401

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.604

RIV identification code

RIV/00216224:14330/13:00065989

Organization unit

Faculty of Informatics

UT WoS

000315361200003

Keywords in English

continuous time stochastic systems; time-bounded reachability; stochastic games

Tags

International impact, Reviewed
Změněno: 24/4/2014 17:43, RNDr. Pavel Šmerk, Ph.D.

Abstract

V originále

We study continuous-time stochastic games with time-bounded reachability objectives and time-abstract strategies. We show that each vertex in such a game has a value (i.e., an equilibrium probability), and we classify the conditions under which optimal strategies exist. Further, we show how to compute epsilon-optimal strategies in finite games and provide detailed complexity estimations. Moreover, we show how to compute epsilon-optimal strategies in infinite games with finite branching and bounded rates where the bound as well as the successors of a given state are effectively computable. Finally, we show how to compute optimal strategies in finite uniform games.

Links

GAP202/10/1469, research and development project
Name: Formální metody pro analýzu a verifikaci komplexních systémů
Investor: Czech Science Foundation
MUNI/A/0760/2012, interní kód MU
Name: Rozsáhlé výpočetní systémy: modely, aplikace a verifikace II. (Acronym: FI MAV II.)
Investor: Masaryk University, Category A