The position value for union stable systems
Autor: | Pem Peter Borm, Encarnación Algaba, J. J. López, Jesús Mario Bilbao |
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Přispěvatelé: | Research Group: Economics, Research Group: Operations Research |
Rok vydání: | 2000 |
Předmět: |
Computer Science::Computer Science and Game Theory
Basis (linear algebra) General Mathematics Class (philosophy) ComputingMilieux_LEGALASPECTSOFCOMPUTING Management Science and Operations Research game theory cooperative games Convexity Core (game theory) Position (vector) Value (mathematics) Game theory Mathematical economics Software Axiom Mathematics 90D12 |
Zdroj: | Mathematical Methods of Operations Research, 52(2), 221-236. SPRINGER HEIDELBERG Tilburg University-PURE Scopus-Elsevier |
ISSN: | 1432-2994 |
Popis: | In this paper, we study the position value for games in which partial cooperation exist, that is based on a union stable coalition system. The concept of basis is introduced for these systems, allowing for a definition of the position value. Moreover, an axiomatic characterization of the position value is provided for a specific class of union stable systems. Conditions under which convexity is inherited from the underlying game to the conference game, and the position value is a core vector of the restricted game are provided. |
Databáze: | OpenAIRE |
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