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Rawls’s difference principle and maximin rule of allocation: a new analysis

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  • Philippe Mongin

    (CNRS - Centre National de la Recherche Scientifique, HEC Paris - Ecole des Hautes Etudes Commerciales, LEMMA - Laboratoire d'économie mathématique et de microéconomie appliquée - UP2 - Université Panthéon-Assas)

  • Marcus Pivato

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

Abstract
If Rawls's A Theory of Justice has achieved fame among economists, this is due to his Difference Principle, which says that inequalities of resources should be to the benefit of the less fortunate, or more operationally, that allocations of resources should be ranked by the maximin criterion. We extend the Rawlsian maximin in two ways: first, by resorting to the more general min-of-means formula of decision theory, second, by addressing the case where the resources accruing to each individual are uncertain to society. For the latter purpose, we resort to the ex ante versus ex post distinction of welfare economics. The paper axiomatically characterizes the ex ante and ex post forms of the Rawlsian maximin and compares them in terms of egalitarian criteria. It finally recommends and axiomatizes a compromise egalitarian theory that mixes the two forms.

Suggested Citation

  • Philippe Mongin & Marcus Pivato, 2021. "Rawls’s difference principle and maximin rule of allocation: a new analysis," Post-Print hal-03637875, HAL.
    • Handle: RePEc:hal:journl:hal-03637875
    DOI: 10.1007/s00199-021-01344-x
    Note: View the original document on HAL open archive server: https://hal.science/hal-03637875
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    References listed on IDEAS

    as
    1. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521715348, October.
    2. John Rawls, 1974. "Reply to Alexander and Musgrave," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 88(4), pages 633-655.
    3. Gajdos, Thibault & Maurin, Eric, 2004. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," Journal of Economic Theory, Elsevier, vol. 116(1), pages 93-118, May.
    4. Philippe Mongin & Marcus Pivato, 2020. "Social preference under twofold uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 633-663, October.
    5. Xiangyu Qu, 2017. "Separate aggregation of beliefs and values under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 503-519, February.
    6. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    7. Mongin, Philippe & Pivato, Marcus, 2015. "Ranking multidimensional alternatives and uncertain prospects," Journal of Economic Theory, Elsevier, vol. 157(C), pages 146-171.
    8. 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.
    9. 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.
    10. Tungodden, Bertil, 2000. "Egalitarianism: Is Leximin the Only Option?," Economics and Philosophy, Cambridge University Press, vol. 16(2), pages 229-245, October.
    11. Mongin, Philippe, 1998. "The paradox of the Bayesian experts and state-dependent utility theory," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 331-361, April.
    12. Hervé Crès & Itzhak Gilboa & Nicolas Vieille, 2011. "Aggregation of multiple prior opinions," Post-Print hal-00656618, HAL.
    13. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 193-232, August.
    14. Takashi Hayashi & Michele Lombardi, 2019. "Fair social decision under uncertainty and belief disagreements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 775-816, June.
    15. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
    16. Tungodden, Bertil, 2003. "The Value Of Equality," Economics and Philosophy, Cambridge University Press, vol. 19(1), pages 1-44, April.
    17. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    18. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    19. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    20. Deschamps, Robert & Gevers, Louis, 1978. "Leximin and utilitarian rules: A joint characterization," Journal of Economic Theory, Elsevier, vol. 17(2), pages 143-163, April.
    21. Rawls, John, 1974. "Some Reasons for the Maximin Criterion," American Economic Review, American Economic Association, vol. 64(2), pages 141-146, May.
    22. Marc Fleurbaey & Bertil Tungodden, 2010. "The tyranny of non-aggregation versus the tyranny of aggregation in social choices: a real dilemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 399-414, September.
    23. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
    24. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    25. Marc Fleurbaey, 2018. "Welfare economics, risk and uncertainty," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(1), pages 5-40, February.
    26. Boadway, Robin & Jacquet, Laurence, 2008. "Optimal marginal and average income taxation under maximin," Journal of Economic Theory, Elsevier, vol. 143(1), pages 425-441, November.
    27. 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.
    28. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324, October.
    29. Edmund S. Phelps, 1973. "Taxation of Wage Income for Economic Justice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 331-354.
    30. Mongin, Philippe, 2016. "Spurious Unanimity And The Pareto Principle," Economics and Philosophy, Cambridge University Press, vol. 32(3), pages 511-532, November.
    31. Vallentyne, Peter, 2000. "Equality, efficiency, and the priority of the worse-off," Economics and Philosophy, Cambridge University Press, vol. 16(1), pages 1-19, April.
    32. Shiri Alon & Gabi Gayer, 2016. "Utilitarian Preferences With Multiple Priors," Econometrica, Econometric Society, vol. 84, pages 1181-1201, May.
    33. R. A. Musgrave, 1974. "Maximin, Uncertainty, and the Leisure Trade-Off," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 88(4), pages 625-632.
    34. 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.
    35. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    36. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    37. Kristof Bosmans & Erwin Ooghe, 2013. "A characterization of maximin," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 151-156, November.
    38. Sidney S. Alexander, 1974. "Social Evaluation Through Notional Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 88(4), pages 597-624.
    39. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    40. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Post-Print halshs-00177374, HAL.
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    2. Flaviana Palmisano & Ida Petrillo, 2022. "A general rank‐dependent approach for distributional comparisons," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 380-409, April.

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