| 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 and 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) |
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| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| 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 |
6 |
| Date of Issue |
2024-01-10 (MSS, SS) |