Endogenous formation of cooperation structure in TU games

Anna Khmelnitskaya; Elena Parilina; Artem Sedakov

doi:10.1007/978-3-030-23699-1_4

Endogenous formation of cooperation structure in TU games

Anna Khmelnitskaya, Elena Parilina, Artem Sedakov

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

2 Citations (Scopus)

1 Downloads (Pure)

Abstract

Our main goal is to provide comparative analysis of several procedures for endogenous dynamic formation of the cooperation structure in TU games. In the paper we consider two approaches to endogenous graph formation based on sequential link announcement and revision. For the evaluation of the pros and cons when adding of a new link is in question, along with the Myerson value we consider also the average tree solution and the centrality rewarding Shapley and Myerson values, recently introduced.

Original language	English
Title of host publication	Frontiers of Dynamic Games
Subtitle of host publication	Game Theory and Management, St. Petersburg, 2018
Editors	Leon A. Petrosyan, Vladimir V. Mazalov, Nikolay A. Zenkevich
Publisher	Springer
Chapter	4
Pages	49-64
Number of pages	16
ISBN (Electronic)	978-3-030-23699-1
ISBN (Print)	978-3-030-23698-4
DOIs	https://doi.org/10.1007/978-3-030-23699-1_4
Publication status	Published - 26 Sept 2019
Externally published	Yes
Event	12th International Conference on Game Theory and Management, GTM 2018 - Saint Petersburg State University, Saint Petersburg, Russian Federation Duration: 27 Jun 2018 → 29 Jun 2018 Conference number: 12

Publication series

Name	Static & Dynamic Game Theory: Foundations & Applications
Publisher	Springer Nature
ISSN (Print)	2363-8516

Seminar

Seminar	12th International Conference on Game Theory and Management, GTM 2018
Abbreviated title	GTM 2018
Country/Territory	Russian Federation
City	Saint Petersburg
Period	27/06/18 → 29/06/18

Keywords

Average tree solution
Centrality rewarding Shapley and Myerson values
Communication graph
Graph formation
Myerson value
Subgame perfect equilibrium
TU game

Access to Document

10.1007/978-3-030-23699-1_4

Cite this

Khmelnitskaya, A., Parilina, E., & Sedakov, A. (2019). Endogenous formation of cooperation structure in TU games. In L. A. Petrosyan, V. V. Mazalov, & N. A. Zenkevich (Eds.), Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018 (pp. 49-64). (Static & Dynamic Game Theory: Foundations & Applications). Springer. https://doi.org/10.1007/978-3-030-23699-1_4

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keywords = "Average tree solution, Centrality rewarding Shapley and Myerson values, Communication graph, Graph formation, Myerson value, Subgame perfect equilibrium, TU game",

author = "Anna Khmelnitskaya and Elena Parilina and Artem Sedakov",

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doi = "10.1007/978-3-030-23699-1_4",

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note = "12th International Conference on Game Theory and Management, GTM 2018, GTM 2018 ; Conference date: 27-06-2018 Through 29-06-2018",

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Khmelnitskaya, A, Parilina, E & Sedakov, A 2019, Endogenous formation of cooperation structure in TU games. in LA Petrosyan, VV Mazalov & NA Zenkevich (eds), Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018. Static & Dynamic Game Theory: Foundations & Applications, Springer, pp. 49-64, 12th International Conference on Game Theory and Management, GTM 2018, Saint Petersburg, Russian Federation, 27/06/18. https://doi.org/10.1007/978-3-030-23699-1_4

Endogenous formation of cooperation structure in TU games. / Khmelnitskaya, Anna; Parilina, Elena; Sedakov, Artem.
Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018. ed. / Leon A. Petrosyan; Vladimir V. Mazalov; Nikolay A. Zenkevich. Springer, 2019. p. 49-64 (Static & Dynamic Game Theory: Foundations & Applications).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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KW - Centrality rewarding Shapley and Myerson values

KW - Communication graph

KW - Graph formation

KW - Myerson value

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ER -

Endogenous formation of cooperation structure in TU games

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Keywords

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