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On ranking linear budget sets in terms of freedom of choice

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  • Yongsheng Xu

Abstract

This paper examines how freedom of choice as reflected in an agent’s opportunity sets can be measured in economic environments where opportunity sets are linear budget sets in the non-negative orthant of the n-dimensional real space. Three axioms, Symmetry, Monotonicity and Invariance of Scaling Effects, are proposed for this purpose and the measure based on volumes of budget sets is characterized. Copyright Springer-Verlag 2004

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  • Yongsheng Xu, 2004. "On ranking linear budget sets in terms of freedom of choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(1), pages 281-289, February.
    • Handle: RePEc:spr:sochwe:v:22:y:2004:i:1:p:281-289
    DOI: 10.1007/s00355-003-0287-x
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    Cited by:

    1. Koichi Tadenuma & Yongsheng Xu, 2017. "Distributions of the budget sets: an axiomatic analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 221-237, January.
    2. Wiebke Kuklys & Ingrid Robeyns, 2004. "Sens's Capability Approach to Welfare Economics," Papers on Strategic Interaction 2004-03, Max Planck Institute of Economics, Strategic Interaction Group.
    3. Yongsheng Xu & Naoki Yoshihara, 2020. "Nonconvex Bargaining Problems: Some Recent Developments," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 7-41, November.
    4. Nicolas Gravel & Benoît Tarroux, 2011. "Freedom-Based Measurement of Living Standard," Annals of Economics and Statistics, GENES, issue 101-102, pages 37-69.
    5. Yongsheng Xu & Naoki Yoshihara, 2022. "Bargaining theory over opportunity assignments and the egalitarian solution," Metroeconomica, Wiley Blackwell, vol. 73(1), pages 198-219, February.
    6. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    7. Ballester, Miguel A. & De Miguel, Juan R., 2006. "On freedom of choice and infinite sets: The Suprafinite Rule," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 291-300, June.
    8. Ernesto Screpanti, 2004. "Freedom, Time Constraints and Progressive Taxation," Department of Economics University of Siena 429, Department of Economics, University of Siena.
    9. Miyagishima, Kaname, 2012. "Ranking linear budget sets with different available goods: A note," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 234-238.
    10. Sakamoto, Norihito, 2017. "Characterizations of Social Choice Correspondences Based on Equality of Capabilities in a Pure Exchange Economy," RCNE Discussion Paper Series 4, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    11. Wulf Gaertner & Yongsheng Xu, 2011. "Reference-dependent rankings of sets in characteristics space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 717-728, October.
    12. Wulf Gaertner, 2012. "Evaluating sets of objects in characteristics space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 303-321, July.
    13. Ernesto Screpanti, 2009. "A Quasi‐Natural Measure Of Choice Freedom For Budget‐ And Time‐Constrained Opportunity Sets," Metroeconomica, Wiley Blackwell, vol. 60(4), pages 715-723, November.
    14. Francesco Farina & Eugenio Peluso & Ernesto Savaglio, 2005. "Ranking opportunity sets in the space of functionings," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 105-116, January.
    15. Ernesto Screpanti, 2006. "Taxation, Social Goods And The Distribution Of Freedom," Metroeconomica, Wiley Blackwell, vol. 57(1), pages 1-12, February.

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