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Allocating chances of success in finite and infinite societies: The utilitarian criterion

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  • Mariotti, Marco
  • Veneziani, Roberto

Abstract

We study a particular collective choice problem, that of allocating chances of success. We argue that many problems of interest have this nature, from small scale problems like medical triage to large scale ones like the allocation of opportunities in society. We consider both finite and infinite societies. We characterise utilitarian-type criteria by means of new properties tailored to the probabilistic structure of the alternatives.

Suggested Citation

  • Mariotti, Marco & Veneziani, Roberto, 2012. "Allocating chances of success in finite and infinite societies: The utilitarian criterion," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 226-236.
  • Handle: RePEc:eee:mateco:v:48:y:2012:i:4:p:226-236
    DOI: 10.1016/j.jmateco.2012.05.003
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    1. Geir B. Asheim, 2010. "Intergenerational Equity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 197-222, September.
    2. José Alcantud, 2013. "Liberal approaches to ranking infinite utility streams: when can we avoid interference?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 381-396, July.
    3. Farina, Francesco & Hahn, Frank & Vannucci, Stefano (ed.), 1996. "Ethics, Rationality, and Economic Behaviour," OUP Catalogue, Oxford University Press, number 9780198289814.
    4. Asheim, Geir B. & d'Aspremont, Claude & Banerjee, Kuntal, 2010. "Generalized time-invariant overtaking," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 519-533, July.
    5. Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016. "Liberal Egalitarianism and the Harm Principle," Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
    6. Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009. "On the impossibility of representing infinite utility streams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 47-56, July.
    7. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    8. Geir Asheim & Bertil Tungodden, 2004. "Resolving distributional conflicts between generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 221-230, July.
    9. Kaushik Basu & Tapan Mitra, 2003. "Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian," Econometrica, Econometric Society, vol. 71(5), pages 1557-1563, September.
    10. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005. "Collective choice under dichotomous preferences," Journal of Economic Theory, Elsevier, vol. 122(2), pages 165-184, June.
    11. repec:cor:louvrp:-2239 is not listed on IDEAS
    12. Myerson, Roger B, 1981. "Utilitarianism, Egalitarianism, and the Timing Effect in Social Choice Problems," Econometrica, Econometric Society, vol. 49(4), pages 883-897, June.
    13. Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
    14. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
    15. Louis Kaplow & Steven Shavell, 2004. "Any Non-welfarist Method of Policy Assessment Violates the Pareto Principle: Reply," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 249-278, February.
    16. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    17. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 179-191, August.
    18. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    19. Hiroshi Atsumi, 1965. "Neoclassical Growth and the Efficient Program of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 127-136.
    20. Marco Mariotti & Roberto Veneziani, 2009. "‘Non-interference’ implies equality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 123-128, January.
    21. Marc Fleurbaey & Bertil Tungodden & Howard F. Chang, 2003. "Any Non-welfarist Method of Policy Assessment Violates the Pareto Principle: A Comment," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1382-1386, December.
    22. , R., 2007. "Can intergenerational equity be operationalized?," Theoretical Economics, Econometric Society, vol. 2(2), June.
    23. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    24. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    25. Louis Kaplow & Steven Shavell, 2001. "Any Non-welfarist Method of Policy Assessment Violates the Pareto Principle," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 281-286, April.
    26. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    27. John E. Roemer & Roberto Veneziani, 2004. "What We Owe Our Children, They Their Children, …," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(5), pages 637-654, December.
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    Cited by:

    1. Hansen, Kristian S. & Moreno-Ternero, Juan D. & Østerdal, Lars P., 2023. "Productivity and quality-adjusted life years: QALYs, PALYs and beyond," Working Papers 11-2023, Copenhagen Business School, Department of Economics.
    2. Yoshihara, Naoki & Veneziani, Roberto, 2023. "The measurement of labour content: An axiomatic approach," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 392-402.
    3. Mariotti, Marco & Veneziani, Roberto, 2013. "On the impossibility of complete Non-Interference in Paretian social judgements," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1689-1699.
    4. Chambers, Christopher P. & Ye, Siming, 2024. "Haves and have-nots: A theory of economic sufficientarianism," Journal of Economic Theory, Elsevier, vol. 217(C).
    5. Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016. "Liberal Egalitarianism and the Harm Principle," Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
    6. Yoshihara, Naoki & Veneziani, Roberto, 2013. "The Measurement of Labour Content: A General Approach," Discussion Paper Series 587, Institute of Economic Research, Hitotsubashi University.
    7. Marco Mariotti & Roberto Veneziani, 2018. "Opportunities as Chances: Maximising the Probability that Everybody Succeeds," Economic Journal, Royal Economic Society, vol. 128(611), pages 1609-1633, June.
    8. Hansen, Kristian S. & Moreno-Ternero, Juan D. & Østerdal, Lars P., 2024. "Quality- and productivity-adjusted life years: From QALYs to PALYs and beyond," Journal of Health Economics, Elsevier, vol. 95(C).
    9. Giorgos Galanis & Roberto Veneziani, 2017. "Equality of When?," Working Papers 812, Queen Mary University of London, School of Economics and Finance.

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