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Computations on Simple Games using REL VIEW

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  • Rudolf Berghammer

    ()
    (Institut für Informatik - Universität Kiel)

  • Agnieszka Rusinowska

    ()
    (Centre d'Economie de la 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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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2011/11014.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 11014.

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Length: 14 pages
Date of creation: Mar 2011
Date of revision:
Handle: RePEc:mse:cesdoc:11014

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Keywords: Simple games; relation algebra; RelView.;

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  1. Rudolf Berghammer & Agnieszka Rusinowska & Harrie De Swart, 2009. "An Interdisciplinary Approach to Coalition Formation," Post-Print halshs-00406460, HAL.
  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.
  3. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2007. "Applying relational algebra and RelView to coalition formation," European Journal of Operational Research, Elsevier, vol. 178(2), pages 530-542, April.
  4. Rudolf Berghammer & Stefan Bolus & Agnieszka Rusinowska & Harrie De Swart, 2011. "A relation-algebraic approach to simple games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00574767, HAL.
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