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Concept Lattices and Convexity of Coalitional Game Forms

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  • Stefano Vannucci

Abstract

The concept lattice of a coalitional game form is introduced and advocated as a structural classificatory tool. The basic properties of such lattices are studied. Sufficient concept-latticial properties for convexity of the underlying coalitional game form are identified. Spectral issues concerning widths and lengths of concept lattices of convex CGFs are also addressed

Suggested Citation

  • Stefano Vannucci, 2006. "Concept Lattices and Convexity of Coalitional Game Forms," Department of Economics University of Siena 476, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:476
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    File URL: http://repec.deps.unisi.it/quaderni/476.pdf
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    References listed on IDEAS

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    1. Otten Gert-Jan & Borm Peter & Storcken Ton & Tijs Stef, 1995. "Effectivity Functions and Associated Claim Game Correspondences," Games and Economic Behavior, Elsevier, vol. 9(2), pages 172-190, May.
    2. Stefano Vannucci, 2002. "Effectivity Functions and Stable Governance Structures," Annals of Operations Research, Springer, vol. 109(1), pages 99-127, January.
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    More about this item

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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