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Evolutionary game of coalition building under external pressure
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Cecchin, A and Kolokoltsov, V. N. (2018) Evolutionary game of coalition building under external pressure. In: Apaloo, J. and Viscolani, B., (eds.) Advances in Dynamic and Mean Field Games. ISDG 2016. Annals of the International Society of Dynamic Games. Annals of the International Society of Dynamic Games, 15 . Cham: Birkhaeuser Verlag AG, pp. 71-106. ISBN 9783319706184
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Official URL: https://doi.org/10.1007/978-3-319-70619-1_4
Abstract
We study the fragmentation-coagulation, or merging and splitting, model as introduced in [16], where N small players can form coalitions to resist to the pressure exerted by the principal. It is a Markov chain in continuous time and the players have a common reward to optimize. We study the behavior as N grows and show that the problem converges to a (one player) deterministic optimization problem in continuous time, in the infinite dimensional state space `1. We apply the method developed in [8], adapting it to our different framework. We use tools involving dynamics in `1, generators of Markov processes, martingale problems and coupling of Markov chains.
| Item Type: | Book Item | |||||||||
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| Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | |||||||||
| Library of Congress Subject Headings (LCSH): | Game theory, Markov processes | |||||||||
| Series Name: | Annals of the International Society of Dynamic Games | |||||||||
| Journal or Publication Title: | Annals of the International Society of Dynamic Games | |||||||||
| Publisher: | Birkhaeuser Verlag AG | |||||||||
| Place of Publication: | Cham | |||||||||
| ISBN: | 9783319706184 | |||||||||
| ISSN: | 2474-0179 | |||||||||
| Book Title: | Advances in Dynamic and Mean Field Games. ISDG 2016. Annals of the International Society of Dynamic Games | |||||||||
| Editor: | Apaloo, J. and Viscolani, B. | |||||||||
| Official Date: | 4 January 2018 | |||||||||
| Dates: |
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| Volume: | 15 | |||||||||
| Page Range: | pp. 71-106 | |||||||||
| DOI: | 10.1007/978-3-319-70619-1_4 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 7 June 2017 | |||||||||
| Date of first compliant Open Access: | 4 January 2019 | |||||||||
| RIOXX Funder/Project Grant: |
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