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The Social Choice Approach to Group Identification

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Consensual Processes

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 267))

Abstract

The chapter gives an overview of selected topics from the theory of group identification. As a starting point serve different axiomatic characterizations of the “libera” rule for group identification whereby the group consist of those and only those individuals each of which views oneself a member of the group. We then focus on consent rules and recursive procedures for collective determination where the opinions of other individuals in the society also count. Finally, we address recent developments in the literature with respect to gradual opinions and group identity functions.

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References

  1. Ballester, M.A., García-Lapresta, J.L.: A model of elitist qualification 17, Group Decision and Negotiation pp. 497–513 (2008a)

    Google Scholar 

  2. Ballester, M.A., García-Lapresta, J.L.: Sequential consensus for selecting qualified individuals of a group. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16, 57–68 (2008b)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ballester, M.A., García-Lapresta, J.L.: A recursive group decision making procedure for choosing qualified individuals. International Journal of Intelligent Systems 24, 889–901 (2009)

    Article  MATH  Google Scholar 

  4. Barberà, S., Sonnenschein, H., Zhou, L.: Voting by committees. Econometrica 59, 595–609 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  5. Barthélemy, J.-P.: Comments on Aggregation of equivalence relations. Fishburn, P.C., Rubinstein, A. (eds.) Journal of Classification 5, 85–87 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  6. Barthélemy, J.-P., Leclerc, B., Monjardet, B.: On the use of ordered sets in problems of comparison and consensus of classifications. Journal of Classification 3, 187–224 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  7. Chambers, C., Miller, A.: Rules for information aggregation, Working Paper (2010)

    Google Scholar 

  8. Cengelci, M., Sanver, R.: Simple collective identity functions. Theory and Decision 68, 417–443 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  9. Dimitrov, D., Marchant, T., Mishra, D.: Separability and aggregation of equivalence relations, Working Paper (2009)

    Google Scholar 

  10. Dimitrov, D., Puppe, C.: Non-bossy social classification, Working Paper (2010)

    Google Scholar 

  11. Dimitrov, D., Sung, S.-C., Xu, Y.: Procedural group identification. Mathematical Social Sciences 54, 137–146 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  12. Fishburn, P.C., Rubinstein, A.: Aggregation of equivalence relations. Journal of Classification 3, 61–65 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  13. Houy, N.: He said that he said that I am a J, Economics Bulletin, vol. 4(4), pp. 1–6 (2006)

    Google Scholar 

  14. Houy, N.: I want to be a J! quotedblright: Liberalism in group identification problems. Mathematical Social Sciences 54, 59–70 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  15. Kasher, A.: Jewish collective identity. In: Goldberg, D.T., Krausz, M. (eds.) Jewish Identity, pp. 56–78. Temple University Press, Philadelphia (1993)

    Google Scholar 

  16. Kasher, A., Rubinstein, A.: On the question ‘Who is a J?’: A social choice approach. Logique & Analyse, 385–395 (1997)

    Google Scholar 

  17. Miller, A.: Group identification. Games and Economic Behavior 63, 188–202 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  18. Mirkin, B.: On the problem of reconciling partitions. In: Blalock, H.M. (ed.) Quantitative Sociology: International Perspectives on Mathematical and Statistical Modeling, pp. 441–449. Academic Press, London (1975)

    Google Scholar 

  19. Rubinstein, A., Fishburn, P.C.: Algebraic aggregation theory. Journal of Economic Theory 38, 63–77 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  20. Samet, D., Schmeidler, D.: Between liberalism and democracy. Journal of Economic Theory 110, 213–233 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  21. Sung, S.-C., Dimitrov, D.: On the axiomatic characterization of ‘Who is a J?’. Logique & Analyse 192, 101–112 (2005)

    MathSciNet  Google Scholar 

  22. Vannucci, S.: The liberatarian identification rule in finite atomistic lattices, Working Paper (2008)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Chair of Economic Theory, Saarland University, Campus C3 1, 66123, Saarbrücken, Germany

    Dinko Dimitrov

Authors
  1. Dinko Dimitrov
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Editor information

Editors and Affiliations

  1. Depto. Ciencias de la Computación e Inteligencia Artificial, Universidad Granada, C/ Periodista Daniel Saucedo Aranda s/n, 18071, Granada, Spain

    Enrique Herrera-Viedma

  2. Departamento de Economía Aplicada, Universidad de Valladolid, Avenida Valle Esgueva 6, 47011, Valladolid, Spain

    José Luis García-Lapresta

  3. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447, Warsaw, Poland

    Janusz Kacprzyk

  4. Fac. Economia Dipto. Informatica e Studi Aziendali, Università di Trento, Via Inama 5, 38100, Trento, Trento, Italy

    Mario Fedrizzi

  5. Department of Political Science and Contemporary History, University of Turku, Turku, Finland

    Hannu Nurmi

  6. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Sławomir Zadrożny

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Dimitrov, D. (2011). The Social Choice Approach to Group Identification. In: Herrera-Viedma, E., García-Lapresta, J.L., Kacprzyk, J., Fedrizzi, M., Nurmi, H., Zadrożny, S. (eds) Consensual Processes. Studies in Fuzziness and Soft Computing, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20533-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-20533-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20532-3

  • Online ISBN: 978-3-642-20533-0

  • eBook Packages: EngineeringEngineering (R0)

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