An axiomatization of success | Social Choice and Welfare
Skip to main content
Springer Nature Link
Log in

An axiomatization of success

  • Original Paper
  • Published:
Social Choice and Welfare Aims and scope Submit manuscript

Abstract

In this paper we give an axiomatic characterization of a family of measures of success defined by Laruelle and Valenciano (Soc Choice Welf 27:171–197, 2005) for voting rules.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Banzhaf JF (1965) Weighted voting doesn’t work : a mathematical analysis. Rutgers Law Rev 19: 317–343

    Google Scholar 

  • Banzhaf JF (1966) Multi-member electoral districts: do they violate the “one man, one vote” principle?. Yale Law J 75: 1309–1338

    Article  Google Scholar 

  • Calvo E, Santos JC (2000) Weighted weak semivalues. Int J Game Theory 29: 1–9

    Article  Google Scholar 

  • Dubey P (1975) On the uniqueness of the Shapley value. Int J Game Theory 4: 131–139

    Article  Google Scholar 

  • Dubey P, Shapley LS (1979) Mathematical properties of the Banzhaf power index. Math Oper Res 4: 99–131

    Article  Google Scholar 

  • Einy E (1987) Semivalues of simple games. Math Oper Res 12: 185–192

    Article  Google Scholar 

  • Kalai E, Samet D (1987) On weighted Shapley values. Int J Game Theory 16: 205–222

    Article  Google Scholar 

  • Laruelle A, Valenciano F (2001) Shapley–Shubik and Banzhaf indices revisited. Math Oper Res 26: 89–104

    Article  Google Scholar 

  • Laruelle A, Valenciano F (2003) Semivalues and voting power. Int Game Theory Rev 5: 41–61

    Article  Google Scholar 

  • Laruelle A, Valenciano F (2005) Assessing success and decisiveness in voting situations. Soc Choice Welf 27: 171–197

    Article  Google Scholar 

  • Rae D (1969) Decision rules and individual values in constitutional choice. Am Political Sci Rev 63: 40–56

    Article  Google Scholar 

  • Shapley LS, Shubik M (1954) A method for evaluating the distribution of power in a committee system. Am Political Sci Rev 48: 787–792

    Article  Google Scholar 

  • Weber RJ (1979) Subjectivity in the valuation of games. In: Moeschlin O, Pallaschke D (eds) Game theory and related topics. North Holland Publishing Co, Amsterdam, pp 129–136

    Google Scholar 

  • Weber RJ (1988) Probabilistic values for games. In: Roth A (ed) The Shapley value. Essays in Honor of Lloyd S. Shapley. Cambridge University Press, Cambridge, pp 51–70

    Google Scholar 

  • Young HP (1985) Monotonic solutions of cooperative games. Int J Game Theory 14: 65–72

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Economics IV, Faculty of Business and Economics, University of the Basque Country, Lehendakari Agirre, 83, 48015, Bilbao, Spain

    M. Josune Albizuri

  2. Department of Foundations of Economic Analysis I, Faculty of Business and Economics, University of the Basque Country, Lehendakari Agirre, 83, 48015, Bilbao, Spain

    Annick Laruelle

  3. IKERBASQUE, Basque Foundation of Science, 48011, Bilbao, Spain

    Annick Laruelle

Authors
  1. M. Josune Albizuri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Annick Laruelle
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Josune Albizuri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Albizuri, M.J., Laruelle, A. An axiomatization of success. Soc Choice Welf 41, 145–155 (2013). https://doi.org/10.1007/s00355-012-0671-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00355-012-0671-5

Keywords

Search

Navigation