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Some Open Problems In Simple Games

Author

Listed:
  • CESARINO BERTINI

    (Department of Management, Economics and Quantitative Methods, University of Bergamo, via dei Caniana 2, 24127 Bergamo, Italy)

  • JOSEP FREIXAS

    (Department of Applied Mathematics III and High Engineering School, (Manresa Campus), Technical University of Catalonia, Av. de les Bases de Manresa, 71-73 Manresa, Spain)

  • GIANFRANCO GAMBARELLI

    (Department of Management, Economics and Quantitative Methods, University of Bergamo, via dei Caniana 2, 24127 Bergamo, Italy)

  • IZABELLA STACH

    (AGH University of Science and Technology, Faculty of Management ul. Gramatyka 10, 30-067 Krakow, Poland)

Abstract

This paper presents a review of literature on simple games and highlights various open problems concerning such games; in particular, weighted games and power indices.

Suggested Citation

  • Cesarino Bertini & Josep Freixas & Gianfranco Gambarelli & Izabella Stach, 2013. "Some Open Problems In Simple Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-18.
    • Handle: RePEc:wsi:igtrxx:v:15:y:2013:i:02:n:s0219198913400057
    DOI: 10.1142/S0219198913400057
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    References listed on IDEAS

    as
    1. Glenn W. Harrison & Tanga McDaniel, 2008. "Voting games and computational complexity," Oxford Economic Papers, Oxford University Press, vol. 60(3), pages 546-565, July.
    2. Leech, Dennis, 2002. "Computation of Power Indices," The Warwick Economics Research Paper Series (TWERPS) 644, University of Warwick, Department of Economics.
    3. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638, December.
    4. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    5. Leech, Dennis, 2002. "Computation Of Power Indices," Economic Research Papers 269457, University of Warwick - Department of Economics.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Antônio Francisco Neto, 2019. "Generating Functions of Weighted Voting Games, MacMahon’s Partition Analysis, and Clifford Algebras," Mathematics of Operations Research, INFORMS, vol. 44(1), pages 74-101, February.

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    More about this item

    Keywords

    Cooperative games; power indices; simple games; voting; 91A06; 91A12; 91B12;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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