Arbeitspapier

Games on Union Closed Systems

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A solution for TU-games assigns a set of payoff distributions to every TU-game. In the literature various models of games with restricted cooperation can be found. So, instead of allowing all subsets of the player set N to form, it is assumed that the set of feasible coalitions is a subset of the power set of N. In this paper we consider such sets of feasible coalitions that are closed under union, i.e. for any two feasible coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value) are given for games on union closed systems.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 11-036/1

Classification
Wirtschaft
Cooperative Games
Subject
TU-game
restricted cooperation
union closed system
core
prekernel
nucleolus
Transferable Utility Games
Core
Kooperatives Spiel
Theorie

Event
Geistige Schöpfung
(who)
van den Brink, Rene
Katsev, Ilya
van der Laan, Gerard
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2011

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • van den Brink, Rene
  • Katsev, Ilya
  • van der Laan, Gerard
  • Tinbergen Institute

Time of origin

  • 2011

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