Arbeitspapier
Games with a Permission Structure: a survey on generalizations and applications
In the field of cooperative games with restricted cooperation, various restrictions on coalition formation are studied. The most studied restrictions are those that arise from restricted communication and hierarchies. This survey discusses several models of hierarchy restrictions and their relation with communication restrictions. In the literature, there are results on game properties, Harsanyi dividends, core stability, and various solutions that generalize exisiting solutions for TU-games. In this survey we mainly focus on axiomatizations of the Shapley value in different models of games with a hierarchically structured player set, and their applications. Not only do these axiomatizations provide insight in the Shapley value for these models, but also by considering the types of axioms that characterize the Shapley value, we learn more about different network structures. A central model of games with hierarchies are the games with a permission structure where players in a cooperative transferable utility game are part of a permission structure in the sense that there are players that need permission from other players before they are allowed to cooperate. This permission structure is represented by a directed graph. Generalizations of this model are, for example, games on antimatroids, and games with a local permission structure. Besides discussing these generalizations, we briefly discuss some applications, in particular auction games and hierarchically structured firms.
- Language
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Englisch
- Bibliographic citation
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Series: Tinbergen Institute Discussion Paper ; No. 17-016/II
- Classification
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Wirtschaft
Cooperative Games
- Subject
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Cooperative TU-game
hierarchy
permission structure
antimatroid
local permission structure
applications.
- Event
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Geistige Schöpfung
- (who)
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van den Brink, René
- Event
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Veröffentlichung
- (who)
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Tinbergen Institute
- (where)
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Amsterdam and Rotterdam
- (when)
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2017
- Handle
- Last update
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13.05.0003, 7:00 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- van den Brink, René
- Tinbergen Institute
Time of origin
- 2017
Other Objects (12)
Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure using Split Neutrality
The locally partial permission value for games with a permission structure
The Average Tree Permission Value for Games with a Permission Tree
Games with a Local Permission Structure: Separation of Authority and Value Generation
Polluted River Problems and Games with a Permission Structure
Comparable Characterizations of Four Solutions for Permission Tree Games
Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure
An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure
Maximin Play in Two-Person Bimatrix Games
On Finding Curb Sets in Extensive Games
Evolution of Strategies in Repeated Games with Discounting
Evolution in Games with a Continuous Action Space
Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure using Split Neutrality
The locally partial permission value for games with a permission structure
The Average Tree Permission Value for Games with a Permission Tree
Games with a Local Permission Structure: Separation of Authority and Value Generation
Polluted River Problems and Games with a Permission Structure
Comparable Characterizations of Four Solutions for Permission Tree Games
Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure
An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure
Maximin Play in Two-Person Bimatrix Games
On Finding Curb Sets in Extensive Games
Evolution of Strategies in Repeated Games with Discounting
Evolution in Games with a Continuous Action Space
Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure using Split Neutrality
The locally partial permission value for games with a permission structure
The Average Tree Permission Value for Games with a Permission Tree
Games with a Local Permission Structure: Separation of Authority and Value Generation
Polluted River Problems and Games with a Permission Structure
Comparable Characterizations of Four Solutions for Permission Tree Games
Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure
An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure
Maximin Play in Two-Person Bimatrix Games
On Finding Curb Sets in Extensive Games
Evolution of Strategies in Repeated Games with Discounting