The Myerson Value and Superfluous Supports in Union Stable Systems

E. Algaba (), J. M. Bilbao (), R. Brink () and J. J. López ()
Additional contact information
E. Algaba: Escuela Superior de Ingenieros
J. M. Bilbao: Escuela Superior de Ingenieros
R. Brink: VU University and Tinbergen Institute
J. J. López: Escuela Universitaria Politécnica

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 17, 650-668

Abstract: Abstract In this paper, the set of feasible coalitions in a cooperative game is given by a union stable system. Well-known examples of such systems are communication situations and permission structures. Two games associated with a game on a union stable system are the restricted game (on the set of players in the game) and the conference game (on the set of supports of the system). We define two types of superfluous support property through these two games and provide new characterizations for the Myerson value. Finally, we analyze inheritance of properties between the restricted game and the conference game.

Keywords: Union stable system; Myerson value; Superfluous support property; Restricted game; Conference game (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-012-0077-7

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