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Cores and Stable Sets for Interval-Valued Games

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Author Info
Alparslan-Gok, S.Z.
Branzei, R.
Tijs, S.H. (Tilburg University, Center for Economic Research)
Abstract

In this paper, interval-type solution concepts for interval-valued cooperative games like the interval core, the interval dominance core and stable sets are introduced and studied. The notion of I-balancedness is introduced, and it is proved that the interval core of an interval-valued cooperative game is nonempty if and only if the game is I-balanced. Relations between the interval core, the dominance core and stable sets of an interval-valued game are established.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2008-17.

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Date of creation: 2008
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Handle: RePEc:dgr:kubcen:200817

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C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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References listed on IDEAS
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  1. Luisa Carpente & Balbina Casas-Mendez & Ignacio Garcia-Jurado & Anne van den Nouweland, 2005. "Interval values for strategic games in which players cooperate," University of Oregon Economics Department Working Papers 2005-16, University of Oregon Economics Department. [Downloadable!]
  2. Alparslan-Gok, S.Z. & Miquel, S. & Tijs, S.H., 2008. "Cooperation under Interval Uncertainty," Discussion Paper 2008-09, Tilburg University, Center for Economic Research. [Downloadable!]
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  1. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Convex Interval Games," Discussion Paper 2008-37, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Discussion Paper 2008-47, Tilburg University, Center for Economic Research. [Downloadable!]
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