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Social Choice and Welfare
Published in: Social Choice and Welfare 2-3/2020

02-03-2020 | Original Paper

Majority decision and Condorcet winners

Author: Amartya Sen

Published in: Social Choice and Welfare | Issue 2-3/2020

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Excerpt

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previous article A modified version of Arrow’s IIA condition
next article Reflections on Arrow’s research program of social choice theory

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Footnotes
1
Other than Arrow’s (1951) own analysis, the subject relates to discussions presented by Condorcet (1785), and [translated in English] de Condorcet and Tome (1847), Daunou (1803), Black (1948, 1958), Sen (1966, 1970, 2017), Inada (1969), Sen and Pattanaik (1969), Pattanaik (1971), Maskin (1995), Dasgupta and Maskin (2008), Maskin and Sen (2014, 2016), and Barbera et al. (2019), among others.
 
2
See Sen (1966) and Sen and Pattanaik (1969). See also Inada (1969) and Maskin (1995), among other contributions.
 
Literature
Arrow J (1951) Social choice and individual values. Wiley, New York
Arrow J (1963) Social choice and individual values, 2nd edn. Yale University Press, New Haven
Arrow J (2012) Social choice and individual values, with a Foreword by Eric Maskin, 3rd edn. Yale University Press, New Haven
Barbera S, Bossert W, Suzumura K (2019) Daunou’s Voting Rule and the lexicographic assignment of priorities
Black D (1948) On the rationale of group decision-making. J Polit Econ 56(1):23–34CrossRef
Black D (1958) The theory of committees and elections. Cambridge University Press, Cambridge
Dasgupta P, Maskin E (2008) On the robustness of majority rule. J Eur Econ Assoc 6(5):949–973CrossRef
Daunou PCF (1803) Mémoire sur les élections au scrutin, Baudouin, imprimeur de l’Institut National, Paris. Translated and reprinted in McLean and Urken (1995, Chapter 11)
de Condorcet M (1785) Essai Sur L’application de L’analyse à La Probabilité Des Décisions Rendues à La Pluralité Des Voix. L’Imprimerie Royale, Paris
de Condorcet M, Tome S (1847) Oeuvres de Condorcet. Friedrich Frommann Verlag, Stuttgart
Inada K (1969) On the simple majority decision rule. Econometrica 37(3):490–506CrossRef
Maskin E (1995) Majority rule, social welfare functions, and game forms. In: Kaushik B, Pattanaik PK, Suzumura K (eds) Choice, welfare, and development: a Festschrift in honour of Amartya K. Sen. Oxford University Press, Oxford
Maskin E, Sen A (2014) The arrow impossibility theorem. Columbia University Press, New YorkCrossRef
Maskin E, Sen A (2016) How to let majority rule. The New York Times
Pattanaik PK (1971) Voting and collective choice. Cambridge University Press, Cambridge
Sen A (1966) A possibility theorem on majority decisions. Econometrica 34(2):491–499CrossRef
Sen A (1970) Collective choice and social welfare. Holden Day, San Francisco (republished Amsterdam: Elsevier North-Holland, 1979)
Sen A (2017) Collective choice and social welfare, expanded edition. Penguin Books, and Cambridge, LondonCrossRef
Sen A, Pattanaik P (1969) Necessary and sufficient conditions for rational choice under majority decision. J Econ Theory 1(2):178–202CrossRef
Metadata
Title
Majority decision and Condorcet winners
Author
Amartya Sen
Publication date
02-03-2020
Publisher
Springer Berlin Heidelberg
Published in
Social Choice and Welfare / Issue 2-3/2020
Print ISSN: 0176-1714
Electronic ISSN: 1432-217X
DOI
https://doi.org/10.1007/s00355-020-01244-4

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