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Social choice with approximate interpersonal comparisons of welfare gains

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  • Marcus Pivato

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

Abstract

Suppose it is possible to make approximate interpersonal comparisons of welfare gains and losses. Thus, if $$w$$ w , $$x$$ x , $$y$$ y and $$z$$ z are personal states (each encoding all factors which influence the well-being of an individual), then it is sometimes possible to say “The welfare gain of the state change $$w\leadsto x$$ w ⇝ x is greater than the welfare gain of the state change $$y\leadsto z$$ y ⇝ z ”. We can represent this by the formula “ $$(w\leadsto x)\succeq (y\leadsto z)$$ ( w ⇝ x ) ⪰ ( y ⇝ z ) ”, where $$(\succeq )$$ ( ⪰ ) is a difference preorder: an incomplete preorder on the space of all possible personal state changes. A social state change is a bundle of personal state changes. A social difference preorder (SDP) is an incomplete preorder on the space of social state changes, which satisfies Pareto and Anonymity axioms. We characterize a family of SDPs which are roughly utilitarian in nature. We also apply the model to redistributive taxation. Copyright Springer Science+Business Media New York 2015
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Marcus Pivato, 2015. "Social choice with approximate interpersonal comparisons of welfare gains," Post-Print hal-02979921, HAL.
    • Handle: RePEc:hal:journl:hal-02979921
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    Cited by:

    1. Marcus Pivato, 2013. "Risky social choice with incomplete or noisy interpersonal comparisons of well-being," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 123-139, January.
    2. Pivato, Marcus, 2013. "Social welfare with incomplete ordinal interpersonal comparisons," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 405-417.
    3. Pivato, Marcus, 2013. "Multiutility representations for incomplete difference preorders," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 196-220.
    4. Sakamoto, Norihito, 2018. "Equity Criteria Based on the Dominance Principle and Individual Preferences: Refinements of the Consensus Approach," RCNE Discussion Paper Series 5, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.
    5. Marcus Pivato, 2015. "Social choice with approximate interpersonal comparison of welfare gains," Theory and Decision, Springer, vol. 79(2), pages 181-216, September.

    More about this item

    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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