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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. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638.
    2. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    3. Glenn W. Harrison & Tanga McDaniel, 2008. "Voting games and computational complexity," Oxford Economic Papers, Oxford University Press, vol. 60(3), pages 546-565, July.
    4. Leech, Dennis, 2002. "Computation of Power Indices," The Warwick Economics Research Paper Series (TWERPS) 644, University of Warwick, Department of Economics.
    5. Leech, Dennis, 2002. "Computation Of Power Indices," Economic Research Papers 269457, University of Warwick - Department of Economics.
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    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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