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Efficiency under a Combination of Ordinal and Cardinal Information on Preferences

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  • Athanassoglou, Stergios

Abstract

Consider a collection of m indivisible objects to be allocated to n agents, where m ≥ n. Each agent falls in one of two distinct categories: either he (a) has a complete ordinal ranking over the set of individual objects, or (b) has a set of “plausible” benchmark von Neumann-Morgenstern (vNM) utility functions in whose non-negative span his “true” utility is known to lie. An allocation is undominated if there does not exist a preference-compatible profile of vNM utilities at which it is Pareto dominated by another feasible allocation. Given an undominated allocation, we use the tools of linear duality theory to construct a profile of vNM utilities at which it is ex-ante welfare maximizing. A finite set of preference-compatible vNM utility profiles is exhibited such that every undominated allocation is ex-ante welfare maximizing with respect to at least one of them. Given an arbitrary allocation, we provide an interpretation of the constructed vNM utilities as subgradients of a function which measures worst-case domination.

Suggested Citation

  • Athanassoglou, Stergios, 2011. "Efficiency under a Combination of Ordinal and Cardinal Information on Preferences," Sustainable Development Papers 101288, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemdp:101288
    DOI: 10.22004/ag.econ.101288
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    References listed on IDEAS

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    1. Yeon-Koo Che & Fuhito Kojima, 2010. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Econometrica, Econometric Society, vol. 78(5), pages 1625-1672, September.
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    Cited by:

    1. Aziz, Haris & Brandl, Florian & Brandt, Felix, 2015. "Universal Pareto dominance and welfare for plausible utility functions," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 123-133.
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    3. Haris Aziz, 2014. "A characterization of stochastic dominance efficiency," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 205-212, October.

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