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Opportunities as chances: maximising the probability that everybody succeeds

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  • Marco, Mariotti
  • Roberto, Veneziani

Abstract

Opportunities in society are commonly interpreted as `chances of success'. Within this interpretation, should opportunities be equalised? We show that a liberal principle of justice and a limited principle of social rationality imply that opportunity profiles should be evaluated by means of a `Nash' criterion. The interpretation is new: the social objective should be to maximise the chance that everybody in society succeeds. In particular, the failure of even only one individual must be considered maximally detrimental. We also study a refinement of this criterion and its extension to problems of intergenerational justice.

Suggested Citation

  • Marco, Mariotti & Roberto, Veneziani, 2012. "Opportunities as chances: maximising the probability that everybody succeeds," MPRA Paper 41884, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41884
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    References listed on IDEAS

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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. Efe A. Ok & Laurence Kranich, 1998. "The measurement of opportunity inequality: a cardinality-based approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 263-287.
    4. Roland Benabou & Efe A. Ok, 2000. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Working Papers 150, Princeton University, School of Public and International Affairs, Discussion Papers in Economics.
    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. Carmen Herrero, 1996. "Capabilities and utilities," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 69-88, December.
    7. Marco Mariotti, 1999. "Fair Bargains: Distributive Justice and Nash Bargaining Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 733-741.
    8. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    9. Marc Fleurbaey, 2005. "Freedom with forgiveness," Politics, Philosophy & Economics, , vol. 4(1), pages 29-67, February.
    10. 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.
    11. Ok, Efe A., 1998. "Inequality averse collective choice," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 301-321, October.
    12. Kranich, Laurence, 1996. "Equitable Opportunities: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 71(1), pages 131-147, October.
    13. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905, September.
    14. Geir B. Asheim & Kuntal Banerjee, 2010. "Fixed‐step anonymous overtaking and catching‐up," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(1), pages 149-165, March.
    15. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
    16. Marco Mariotti & Roberto Veneziani, 2009. "The Paradoxes of the Liberal Ethics of Non-interference," Working Papers 653, Queen Mary University of London, School of Economics and Finance.
    17. Naumova, Natalia & Yanovskaya, Elena, 2001. "Nash social welfare orderings," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 203-231, November.
    18. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75(5), pages 765-765.
    19. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    20. Bosi, Gianni & Candeal, Juan Carlos & Indurain, Esteban, 2000. "Continuous representability of homothetic preferences by means of homogeneous utility functions," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 291-298, April.
    21. Fleurbaey, Marc, 1995. "Equal Opportunity or Equal Social Outcome?," Economics and Philosophy, Cambridge University Press, vol. 11(1), pages 25-55, April.
    22. Marc Fleurbaey & Walter Bossert, 1996. "Redistribution and compensation (*)," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(3), pages 343-355.
    23. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    24. 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.
    25. Marco Mariotti & Roberto Veneziani, 2009. "The Paradoxes of the Liberal Ethics of Non-interference," Working Papers 653, Queen Mary University of London, School of Economics and Finance.
    26. 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.
    27. John A. Weymark & Kai-yuen Tsui, 1997. "Social welfare orderings for ratio-scale measurable utilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 241-256.
    28. 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.
    29. Susumu Cato, 2009. "Characterizing the Nash social welfare relation for infinite utility streams: a note," Economics Bulletin, AccessEcon, vol. 29(3), pages 2372-2379.
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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. 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.
    3. 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.
    4. 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).
    5. Moti Michaeli, 2021. "On Measuring Welfare ‘Behind a Veil of Ignorance’," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(1), pages 57-66, January.
    6. Cho, Wonki Jo & Moreno-Ternero, Juan D., 2024. "On reaching social consent," Journal of Mathematical Economics, Elsevier, vol. 110(C).

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    More about this item

    Keywords

    Opportunities; chances in life; Non-Interference; Nash ordering;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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