Reduction of Stochastic Parity to Stochastic Mean-payoff Games
Krishnendu Chatterjee and Thomas A. Henzinger
EECS Department, University of California, Berkeley
Technical Report No. UCB/EECS-2006-140
November 6, 2006
http://www2.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-140.pdf
A stochastic graph game is played by two players on a game graph with probabilistic transitions. We consider stochastic graph games with \omega-regular winning conditions specified as parity objectives, and mean-payoff (or long-run average) objectives. These games lie in NP and coNP. We present a polynomial time Turing reduction of stochastic parity games to stochastic mean-payoff games.
BibTeX citation:
@techreport{Chatterjee:EECS-2006-140, Author= {Chatterjee, Krishnendu and Henzinger, Thomas A.}, Title= {Reduction of Stochastic Parity to Stochastic Mean-payoff Games}, Year= {2006}, Month= {Nov}, Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-140.html}, Number= {UCB/EECS-2006-140}, Abstract= {A stochastic graph game is played by two players on a game graph with probabilistic transitions. We consider stochastic graph games with \omega-regular winning conditions specified as parity objectives, and mean-payoff (or long-run average) objectives. These games lie in NP and coNP. We present a polynomial time Turing reduction of stochastic parity games to stochastic mean-payoff games.}, }
EndNote citation:
%0 Report %A Chatterjee, Krishnendu %A Henzinger, Thomas A. %T Reduction of Stochastic Parity to Stochastic Mean-payoff Games %I EECS Department, University of California, Berkeley %D 2006 %8 November 6 %@ UCB/EECS-2006-140 %U http://www2.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-140.html %F Chatterjee:EECS-2006-140