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Paper Abstract and Keywords
Presentation 2024-01-18 14:40
Decidability of the existence of a doomsday equilibrium in stochastic Buchi games
Hiroki Mizuno, Rindo Nakanishi, Hiroyuki Seki (Nagoya Univ.) MSS2023-68 SS2023-47
Abstract (in Japanese) (See Japanese page) 
(in English) We consider a multi-player nonzero-sum stochastic game played on a finite directed graph with Büchi objective. A doomsday equilibrium is a strategy profile such that if all players follow that strategy profile, then they all win, and if some players deviate and make one other player lose, then all players lose. In this paper, we first extend doomsday equilibrium to stochastic games in two ways (SDE, DE(????)) and expand Chatterjee et al.’s algorithm of deciding the existence of doomsday equilibrium for deterministic games to an algorithm of deciding the existence of SDE. We also give an algorithm of constructing a DE(????) based on a sufficient condition of the existence of DE(????). The complexities of these algorithms are also shown.
Keyword (in Japanese) (See Japanese page) 
(in English) stochastic Büchi game / doomsday equilibrium / ????-doomsday equilibrium / winning strategy / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 335, SS2023-47, pp. 93-98, Jan. 2024.
Paper # SS2023-47 
Date of Issue 2024-01-10 (MSS, SS) 
ISSN Online edition: ISSN 2432-6380
Copyright
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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)
Download PDF MSS2023-68 SS2023-47

Conference Information
Committee SS MSS  
Conference Date 2024-01-17 - 2024-01-18 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SS 
Conference Code 2024-01-SS-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Decidability of the existence of a doomsday equilibrium in stochastic Buchi games 
Sub Title (in English)  
Keyword(1) stochastic Büchi game  
Keyword(2) doomsday equilibrium  
Keyword(3) ????-doomsday equilibrium  
Keyword(4) winning strategy  
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1st Author's Name Hiroki Mizuno  
1st Author's Affiliation Nagoya University (Nagoya Univ.)
2nd Author's Name Rindo Nakanishi  
2nd Author's Affiliation Nagoya University (Nagoya Univ.)
3rd Author's Name Hiroyuki Seki  
3rd Author's Affiliation Nagoya University (Nagoya Univ.)
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Speaker Author-1 
Date Time 2024-01-18 14:40:00 
Presentation Time 25 minutes 
Registration for SS 
Paper # MSS2023-68, SS2023-47 
Volume (vol) vol.123 
Number (no) no.334(MSS), no.335(SS) 
Page pp.93-98 
#Pages
Date of Issue 2024-01-10 (MSS, SS) 


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