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A Note On Regular Semivalues

Author

Listed:
  • FRANCESC CARRERAS

    (Department of Applied Mathematics II, Industrial Engineering School of Terrassa, Polytechnic University of Catalonia, Colom 11, E-08222 Terrassa, Spain)

  • JOSEP FREIXAS

    (Department of Applied Mathematics III, Polytechnic School of Manresa, Polytechnic University of Catalonia, Avda. Bases de Manresa, 61–73, E-08240 Manresa, Spain)

Abstract

Using the characterisation of semivalues by means of weighting coefficients, we study the possibility of extending to them several interesting properties common to the Shapley and Banzhaf values. We conclude that most of the main characteristics of these two classical values are shared by regular semivalues, and this fact provides a theoretical basis for using them as alternatives in future applications — due to their versatility.

Suggested Citation

  • Francesc Carreras & Josep Freixas, 2000. "A Note On Regular Semivalues," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 345-352.
    • Handle: RePEc:wsi:igtrxx:v:02:y:2000:i:04:n:s0219198900000251
    DOI: 10.1142/S0219198900000251
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    Citations

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    Cited by:

    1. Francesc Carreras, 2009. "Protectionism and blocking power indices," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 70-84, July.
    2. Josep Freixas & Montserrat Pons, 2010. "Hierarchies achievable in simple games," Theory and Decision, Springer, vol. 68(4), pages 393-404, April.
    3. Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
    4. Roberto Lucchetti & Stefano Moretti & Fioravante Patrone, 2015. "Ranking sets of interacting objects via semivalues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 567-590, July.
    5. Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.

    More about this item

    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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