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A Story of Consistency: Bridging the Gap between Bentham and Rawls Foundations

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  • St'ephane Gonzalez
  • Nikolaos Pnevmatikos

Abstract

The axiomatic foundations of Bentham and Rawls solutions are discussed within the broader domain of cardinal preferences. It is unveiled that both solution concepts share all four of the following axioms: Nonemptiness, Anonymity, Unanimity, and Continuity. In order to fully characterize the Bentham and Rawls solutions, three variations of a consistency criterion are introduced and their compatibility with the other axioms is assessed. Each expression of consistency can be interpreted as a property of decision-making in uncertain environments.

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  • St'ephane Gonzalez & Nikolaos Pnevmatikos, 2023. "A Story of Consistency: Bridging the Gap between Bentham and Rawls Foundations," Papers 2303.07488, arXiv.org, revised Oct 2023.
    • Handle: RePEc:arx:papers:2303.07488
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    References listed on IDEAS

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    1. Gevers, Louis, 1979. "On Interpersonal Comparability and Social Welfare Orderings," Econometrica, Econometric Society, vol. 47(1), pages 75-89, January.
    2. Kamaga, Kohei, 2018. "When do utilitarianism and egalitarianism agree on evaluation? An intersection approach," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 41-48.
    3. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    4. Brandl, Florian & Brandt, Felix, 2019. "Justifying optimal play via consistency," Theoretical Economics, Econometric Society, vol. 14(4), November.
    5. Peter J. Hammond, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 263-282.
    6. Kui Ou-Yang, 2018. "Generalized rawlsianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 265-279, February.
    7. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-268, June.
    8. Mandler, Michael, 2005. "Harsanyi's utilitarianism via linear programming," Economics Letters, Elsevier, vol. 88(1), pages 85-90, July.
    9. Walter Bossert & Kohei Kamaga, 2020. "An axiomatization of the mixed utilitarian–maximin social welfare orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 451-473, March.
    10. Hylland, Aanund & Zeckhauser, Richard J, 1979. "The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values," Econometrica, Econometric Society, vol. 47(6), pages 1321-1336, November.
    11. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
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