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Computations on Simple Games using REL VIEW

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Author Info

  • Rudolf Berghammer

    ()
    (Institut für Informatik - Universitat Kiel)

  • Agnieszka Rusinowska

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris 1 - Panthéon-Sorbonne)

  • Harrie De Swart

    ()
    (Department of Philosophy - Erasmus University Rotterdam)

Abstract

Simple games are a powerful tool to analyze decision-making and coalition formation in social and political life. In this paper we present relational models of simple games and develop relational algorithms for solving some game-theoretic basic problems. The algorithms immediately can be transformed into the language of the Computer Algebra system RelView and, therefore, the system can be used to solve the problems and to visualize the results of the computations. As an example, we consider the German parliament after the 2009 election.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00587690.

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Date of creation: Mar 2011
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Handle: RePEc:hal:cesptp:halshs-00587690

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Keywords: Simple games; relation algebra; RelView.;

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  1. Berghammer, Rudolf & Bolus, Stefan & Rusinowska, Agnieszka & de Swart, Harrie, 2011. "A relation-algebraic approach to simple games," European Journal of Operational Research, Elsevier, vol. 210(1), pages 68-80, April.
  2. Prasad, K & Kelly, J S, 1990. "NP-Completeness of Some Problems Concerning Voting Games," International Journal of Game Theory, Springer, vol. 19(1), pages 1-9.
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