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2019 | 14 | 60-74

Article title

The No-Spoiler Condition for Choice Correspondences

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
We show that any choice correspondence which satisfies the weak Pareto criterion and the Majority property must violate the no-spoiler condition. Subsequently we strengthen the weak Pareto criterion. We show that if the number of criteria or individuals or states of nature is odd, then there is no choice correspondence which satisfies this strengthened version of weak Pareto criteria, Majority property and no-loser spoiler condition. However if the number of criteria/individuals/states of nature is even, we need two more properties to ensure the impossibility result. The first of these two properties is top neutrality. The second property is top anonymity.

Year

Volume

14

Pages

60-74

Physical description

Contributors

author
  • School of Petroleum Management. Pandit Deendayal Petroleum University. Gandhinagar, India

References

  • Arrow K.J. (1950), A Difficulty in the Concept of Social Welfare, The Journal of Political Economy, 58(4), 328-346.
  • Arrow K.J. (1963), Social Choice and Individual Values, Cowles Foundation for Research in Economics at Yale University, Monograph 12, John Wiley & Sons, New York.
  • Borgers Ch. (2010), Mathematics of Social Choice: Voting, Compensation, and Division, Society for Industrial and Applied Mathematics, Philadelphia.
  • Denicolo V. (1993), Fixed Agenda Social Choice Theory: Correspondence and Impossibility Theorems for Social Choice Correspondences and Social Decision Functions, Journal of Economic Theory, 59, 324-332.
  • Gibbard A. (1973), Manipulation of Voting Schemes: A General Result, Econometrica, 41(4), 587-601.
  • Kelly J.S. (1988), Social Choice Theory: An Introduction, Springer Verlag, Berlin, Heidelberg.
  • Lahiri S. (2019a), Re-interpreting the Arrow-Sen Framework of Social Choice, https://www.academia.edu/40224623/Re-interpreting_the_Arrow-Sen_Framework_of_Social_Choice
  • Lahiri S. (2019b), On a Theorem Due to Alan D. Taylor about Aggregation of Preferences, Arthaniti: Journal of Economic Theory and Practice, 18(1), 17-31.
  • Lahiri S. (2019c), State-Salient Decision Rules for Choice under Uncertainty, AIMS-International Journal of Management, 13(3), 191-195.
  • Pattanaik P.K., Lahiri S. (2017), A Note on A.D. Taylor’s Property of Independence of Irrelevant Alternatives for Voting Rules, Studies in Microeconomics, 5(2), 99-104.
  • Rubinstein A. (2012), Lecture Notes in Microeconomic Theory: The Economic Agent, Princeton University Press, Princeton,Oxford.
  • Satterthwaite M.A. (1975), Strategy-proofness and Arrow’s Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions, Journal of Economic Theory, 10(10), 187-217.
  • Zhang J.H., Christopher K., Xiao Z. (2006), The Majority Rule in Individual Decision Making, Organizational Behavior and Human Decision Process, 29(1), 102-111.

Document Type

Publication order reference

Identifiers

ISSN
2084-1531

YADDA identifier

bwmeta1.element.cejsh-454ae59c-1886-4768-a0e9-8060cbd017bf
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