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Computations on Simple Games using RelView

  • Rudolf Berghammer

    ()

    (Institut für Informatik - Universitat Kiel)

  • Agnieszka Rusinowska

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Harrie De Swart

    ()

    (Faculteit Wijsbegeerte-Logica en taalanalyse - Universiteit van Tilburg)

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.

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File URL: https://hal.archives-ouvertes.fr/hal-00633857/document
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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number hal-00633857.

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Date of creation: 2011
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Publication status: Published in Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov. Computer Algebra in Scientific Computing, Springer, pp.49-60, 2011, Lecture Notes in Computer Science (LNCS) 6885, <10.1007/978-3-642-23568-9_5>
Handle: RePEc:hal:cesptp:hal-00633857
DOI: 10.1007/978-3-642-23568-9_5
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00633857
Contact details of provider: Web page: https://hal.archives-ouvertes.fr/

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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. 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.
  3. Prasad, K & Kelly, J S, 1990. "NP-Completeness of Some Problems Concerning Voting Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(1), pages 1-9.
  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.
  5. A. M. A. van Deemen, 1991. "Coalition Formation in Centralized Policy Games," Journal of Theoretical Politics, SAGE Publishing, vol. 3(2), pages 139-161, April.
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