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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

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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
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
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:
DateEvent
4 January 2018Published
25 May 2017Accepted
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
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDUniversitá di Padovahttp://viaf.org/viaf/236210361
UNSPECIFIEDFondazione Cassa di Risparmio di Padova e Rovigohttp://dx.doi.org/10.13039/100007479
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