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Paper Abstract and Keywords
Presentation 2013-09-03 13:30
A Pseudo-Polynomial Algorithm for Mean Payoff Stochastic Games with Perfect Information and a Few Random Positions
Endre Boros (Rutgers Univ.), Khaled Elbassioni (MPI), Vladimir Gurvich (Rutgers Univ.), Kazuhisa Makino (Kyoto Univ.) COMP2013-28
Abstract (in Japanese) (See Japanese page) 
(in English) We consider two-person zero-sum stochastic mean payoff games with perfect information, or BWR-games, given by a digraph G = (V, E), with integer local rewards r, and three types of vertices: black V_B, white V_W, and random V_R forming a partition of V. It is a long-standing open question whether a polynomial time algorithm for BWR-games exists, or not. In fact, a pseudo-polynomial algorithm for these games would already imply their polynomial solvability. In this paper, we show that BWR-games with a constant number of random nodes can be solved in pseudo-polynomial time. That is, for any such game with a few random nodes |V_R|=O(1), a saddle point in pure stationary strategies can be found in time polynomial in |V_W|+|V_B|, the maximum absolute local reward R, and the common denominator of the transition probabilities.
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Reference Info. IEICE Tech. Rep., vol. 113, no. 198, COMP2013-28, pp. 25-25, Sept. 2013.
Paper # COMP2013-28 
Date of Issue 2013-08-27 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2013-09-03 - 2013-09-03 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To COMP 
Conference Code 2013-09-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Pseudo-Polynomial Algorithm for Mean Payoff Stochastic Games with Perfect Information and a Few Random Positions 
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1st Author's Name Endre Boros  
1st Author's Affiliation Rutgers University (Rutgers Univ.)
2nd Author's Name Khaled Elbassioni  
2nd Author's Affiliation Max-Planck-Institut fur Informatik (MPI)
3rd Author's Name Vladimir Gurvich  
3rd Author's Affiliation Rutgers University (Rutgers Univ.)
4th Author's Name Kazuhisa Makino  
4th Author's Affiliation Kyoto University (Kyoto Univ.)
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Speaker Author-4 
Date Time 2013-09-03 13:30:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2013-28 
Volume (vol) vol.113 
Number (no) no.198 
Page p.25 
#Pages 1 
Date of Issue 2013-08-27 (COMP) 

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