title: Strategic support of the Shapley value in stochastic games
metadata.name: dc.contributor.author
metadata.value: Parilina, Elena M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-26T08:00:28Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-26T08:00:28Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Parilina, E.M., 2016. Strategic support of the Shapley value in stochastic games. Contributions to Game Theory and Management, 9(0), pp.246-265.
metadata.lang: en_GB
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/11936
metadata.lang: -
metadata.name: dc.description
metadata.value: Contributions to game theory and management, vol. X. Collected papers presented on the Tenth International Conference Game Theory and Management / Editors Leon A. Petrosyan, Nikolay A. Zenkevich. – SPb.: Saint Petersburg State University, 2017. – 404 p.
  The collection contains papers accepted for the Tenth International Conference Game Theory and Management (July 7-9, 2016, St. Petersburg State University, St. Petersburg, Russia).
metadata.lang: en_GB
metadata.name: dc.description.abstract
metadata.value: We consider the cooperative behavior in stochastic games. We assume that players cooperate in the game and agree on realizing the Shapley value as an imputation of their total payoff. The problem of subgame (time) consistency of the Shapley value is examined. The imputation distribution procedure is constructed to make the Shapley value subgame consistent. We redefine the payoffs in stochastic game applying the imputation distribution procedure. The problem of strategic support of the Shapley value is examined. We prove that the cooperative strategy profile is the Nash equilibrium in the stochastic game with re-defined payoff functions when some conditions are satisfied. The theoretical results are demonstrated on the example of a data transmission game for a wireless network of a specific topology.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by Saint Petersburg State University (research project 9.38.245.2014) and Russian Foundation for Basic Research (project 16-01-00713).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Saint Petersburg State University
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cooperative stochastic game
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: time consistency
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: subgame consistency
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: imputation distribution procedure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strategic support
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Strategic support of the Shapley value in stochastic games
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Other
metadata.lang: en_GB