Endogenous Formation of Cooperation Structure in TU Games

Research outputpeer-review

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 languageEnglish
Title of host publicationStatic and Dynamic Game Theory
Subtitle of host publicationFoundations and Applications
PublisherBirkhäuser Verlag AG
Pages49-64
Number of pages16
DOIs
Publication statusPublished - 1 Sep 2019

Publication series

NameStatic and Dynamic Game Theory: Foundations and Applications
ISSN (Print)2363-8516
ISSN (Electronic)2363-8524

Fingerprint

TU Game
Centrality
Comparative Analysis
Evaluation
Graph in graph theory
Myerson value
TU game
Comparative analysis
Shapley value
Graph
Announcement

Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

Khmelnitskaya, A., Parilina, E., & Sedakov, A. (2019). Endogenous Formation of Cooperation Structure in TU Games. In Static and Dynamic Game Theory: Foundations and Applications (pp. 49-64). (Static and Dynamic Game Theory: Foundations and Applications). Birkhäuser Verlag AG. https://doi.org/10.1007/978-3-030-23699-1_4
Khmelnitskaya, Anna ; Parilina, Elena ; Sedakov, Artem. / Endogenous Formation of Cooperation Structure in TU Games. Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, 2019. pp. 49-64 (Static and Dynamic Game Theory: Foundations and Applications).
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Khmelnitskaya, A, Parilina, E & Sedakov, A 2019, Endogenous Formation of Cooperation Structure in TU Games. in Static and Dynamic Game Theory: Foundations and Applications. Static and Dynamic Game Theory: Foundations and Applications, Birkhäuser Verlag AG, pp. 49-64. 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.

Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, 2019. p. 49-64 (Static and Dynamic Game Theory: Foundations and Applications).

Research outputpeer-review

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Khmelnitskaya A, Parilina E, Sedakov A. Endogenous Formation of Cooperation Structure in TU Games. In Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG. 2019. p. 49-64. (Static and Dynamic Game Theory: Foundations and Applications). https://doi.org/10.1007/978-3-030-23699-1_4