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Social welfare functions that satisfy Pareto, anonymity, and neutrality, but not independence of irrelevant alternatives

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Abstract

In the presence of Pareto, non-dictatorship, full domain, and transitivity, an extremely weak independence condition disallows both anonymity and neutrality.

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References

  • Arrow KJ (1963) Social choice and individual values, 2nd edn. Wiley, New York

    Google Scholar 

  • Aswal N, Chatterji S, Sen A (2003) Dictatorial eomains. Econ Theory 22:45–62

    Article  Google Scholar 

  • Black D (1958) The theory of committees and elections. Cambridge University Press, London

    Google Scholar 

  • Borda J-C (1781) Mémoire sur les Élections au Scrutin. Histoire de l’Académie Royale des Sciences

  • Bordes GA, Le Breton M (1990) Arrovian theorems for economic domains: the case where there are simultaneously private and public goods. Soc Choice Welf 7:1–17

    Article  Google Scholar 

  • Campbell DE, Fishburn PC (1980) Anonymity conditions in social choice theory. Theory Decis 12:21–39

    Article  Google Scholar 

  • Campbell DE, Kelly JS (2000) Information and preference aggregation. Soc Choice Welf 17:3–24

    Article  Google Scholar 

  • Campbell DE, Kelly JS (2002) In: Arrow KJ, Sen AK, Suzumura K (eds) Impossibility theorems in the arrovian framework handbook of social choice and welfare. North-Holland, Amsterdam, pp. 35–94

  • Campbell DE, Kelly JS (2004a) Pareto, anonymity, and neutrality, but not IIA: the countable case

  • Campbell DE, Kelly JS (2004b) Pareto, anonymity, independence, and neutrality: four alternatives

  • Coughlin PJ (1979/80) A direct characterization of Black’s first borda count. Econ Lett 4:131–133

    Article  Google Scholar 

  • Debord B (1992) An axiomatic characterization of Borda’s k-choice function. Soc Choice Welf 9:337–343

    Article  Google Scholar 

  • De Grazia A (1953) Mathematical derivation of an electoral system. Isis 44:42–51

    Article  Google Scholar 

  • Fishburn PC (1969) Preferences, summation and social welfare functions. Manage Sci 16:179–186

    Article  Google Scholar 

  • Fishburn PC (1973) The theory of social choice. Princeton University Press, Princeton

    Google Scholar 

  • Fishburn PC (1987) Interprofile conditions and impossibility. Harwood Academic Publishers, Chur

    Google Scholar 

  • Goodman LA, Markowitz H (1952) Social welfare functions based on individual rankings. Am J Sociol 58:257–262

    Article  Google Scholar 

  • Graver J (2004) A note on natural correspondences that satisfy exclusion

  • Hansson B, Sahlquist H (1976) A proof technique for social choice with variable electorate. J Econ Theory 13:193–200

    Article  Google Scholar 

  • Kelly JS (1994) The Bordes-Le Breton exceptional case. Soc Choice Welf 11:273–281

    Google Scholar 

  • Luce RD, Raiffa H (1957) Games and decisions. Wiley, New York

    Google Scholar 

  • Nitzan SI, Rubinstein A (1981) A further characterization of Borda ranking method. Public Choice 36:153–158

    Article  Google Scholar 

  • Rae DW, Schickler E (1997) Majority rule. In: Mueller DC (ed) Perspectives on public choice. Cambridge University Press, Cambridge, pp. 163–180

    Google Scholar 

  • Sen AK (1970) Collective choice and social welfare. Holden Day, San Francisco

    Google Scholar 

  • Young HP (1974) An axiomatization of Borda’s rule. J Econ Theory 9:43–52

    Article  Google Scholar 

  • Wilson RB (1972) Social choice without the Pareto principle. J Econ Theory 5:478–486

    Article  Google Scholar 

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Correspondence to Donald E. Campbell.

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Campbell, D.E., Kelly, J.S. Social welfare functions that satisfy Pareto, anonymity, and neutrality, but not independence of irrelevant alternatives. Soc Choice Welfare 29, 69–82 (2007). https://doi.org/10.1007/s00355-006-0193-0

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  • DOI: https://doi.org/10.1007/s00355-006-0193-0

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