dc.citation.conferencePlace |
US |
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dc.citation.conferencePlace |
ARIA Resort and CasinoLas Vegas |
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dc.citation.endPage |
3583 |
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dc.citation.startPage |
3578 |
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dc.citation.title |
55th IEEE Conference on Decision and Control, CDC 2016 |
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dc.contributor.author |
Moon, Jun |
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dc.contributor.author |
Basar, Tamer |
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dc.date.accessioned |
2023-12-19T19:37:27Z |
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dc.date.available |
2023-12-19T19:37:27Z |
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dc.date.created |
2017-02-10 |
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dc.date.issued |
2016-12-12 |
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dc.description.abstract |
We consider a class of discrete-time stochastic Stackelberg dynamic games with one leader and the N followers where N is sufficiently large. The leader and the followers are coupled through a mean field term, representing the average behavior of the followers. We characterize a Nash equilibrium at the followers level, and a Stackelberg equilibrium between the leader and the followers group. To circumvent the difficulty that arises in characterizing a Stackelberg-Nash solution due to the presence of a large number of followers, our approach is to imbed the original game in a class of mean-field stochastic dynamic games, where each follower solves a generic stochastic control problem with an approximated mean-field behavior and with an arbitrary control for the leader. We first show that this solution constitutes an -Nash equilibrium for the followers, where can be picked arbitrarily close to zero when N is large. We then turn to the leader's problem, and show that the associated local optimal control problem, constructed via the mean field approximation, admits an (1; 2)-Stackelberg equilibrium, where both 1 and 2 are arbitrarily close to zero as N becomes arbitrarily large. Numerical examples included in the paper illustrate the theoretical results. |
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dc.identifier.bibliographicCitation |
55th IEEE Conference on Decision and Control, CDC 2016, pp.3578 - 3583 |
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dc.identifier.doi |
10.1109/CDC.2016.7798807 |
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dc.identifier.scopusid |
2-s2.0-85010818159 |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/37306 |
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dc.identifier.url |
http://ieeexplore.ieee.org/document/7798807/ |
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dc.language |
영어 |
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dc.publisher |
55th IEEE Conference on Decision and Control, CDC 2016 |
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dc.title |
Discrete-time stochastic Stackelberg dynamic games with a large number of followers |
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dc.type |
Conference Paper |
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dc.date.conferenceDate |
2016-12-12 |
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