Allocation rules for cooperative games with graph and hypergraph communication structure

Guang Zhang

Research output: ThesisDoctoral ThesisScientific

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Abstract

The thesis is devoted to the study of graph and hypergraph games, which are cooperative games with cooperation restricted by communication structures represented by graphs or hypergraphs. There are four main chapters. Chapter 3 studies a class of graph games, in which several players are selected a priori as main players. A value for graph games with main players is introduced and its characterization is provided in case the underlying communication structure contains no cycles or is a cycle with one main player. Chapters 4 and 5 investigate two generalizations of the average tree solution for graph games to values for hypergraph games and provide several axiomatic characterizations of the new values. Chapter 6 introduces the degree value for hypergraph games. This value highlights the players’ abilities to communicate directly with other players in the communication structure. Characterizations of the value are provided for cycle-free hypergraph games and for arbitrary hypergraph games
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Tilburg University
Supervisors/Advisors
  • Talman, A.J.J., Promotor
  • Khmelnitskaya, A., Co-promotor, External person
Award date28 Aug 2018
Place of PublicationTilburg
Publisher
Print ISBNs9789056685683
Publication statusPublished - 2018

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Cite this

Zhang, G. (2018). Allocation rules for cooperative games with graph and hypergraph communication structure. Tilburg: CentER, Center for Economic Research.
Zhang, Guang. / Allocation rules for cooperative games with graph and hypergraph communication structure. Tilburg : CentER, Center for Economic Research, 2018. 138 p.
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Zhang, G 2018, 'Allocation rules for cooperative games with graph and hypergraph communication structure', Doctor of Philosophy, Tilburg University, Tilburg.

Allocation rules for cooperative games with graph and hypergraph communication structure. / Zhang, Guang.

Tilburg : CentER, Center for Economic Research, 2018. 138 p.

Research output: ThesisDoctoral ThesisScientific

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N2 - The thesis is devoted to the study of graph and hypergraph games, which are cooperative games with cooperation restricted by communication structures represented by graphs or hypergraphs. There are four main chapters. Chapter 3 studies a class of graph games, in which several players are selected a priori as main players. A value for graph games with main players is introduced and its characterization is provided in case the underlying communication structure contains no cycles or is a cycle with one main player. Chapters 4 and 5 investigate two generalizations of the average tree solution for graph games to values for hypergraph games and provide several axiomatic characterizations of the new values. Chapter 6 introduces the degree value for hypergraph games. This value highlights the players’ abilities to communicate directly with other players in the communication structure. Characterizations of the value are provided for cycle-free hypergraph games and for arbitrary hypergraph games

AB - The thesis is devoted to the study of graph and hypergraph games, which are cooperative games with cooperation restricted by communication structures represented by graphs or hypergraphs. There are four main chapters. Chapter 3 studies a class of graph games, in which several players are selected a priori as main players. A value for graph games with main players is introduced and its characterization is provided in case the underlying communication structure contains no cycles or is a cycle with one main player. Chapters 4 and 5 investigate two generalizations of the average tree solution for graph games to values for hypergraph games and provide several axiomatic characterizations of the new values. Chapter 6 introduces the degree value for hypergraph games. This value highlights the players’ abilities to communicate directly with other players in the communication structure. Characterizations of the value are provided for cycle-free hypergraph games and for arbitrary hypergraph games

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Zhang G. Allocation rules for cooperative games with graph and hypergraph communication structure. Tilburg: CentER, Center for Economic Research, 2018. 138 p. (CentER Dissertation Series).