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Egalitarian division under Leontief Preferences

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  • Jin Li

    ()

  • Jingyi Xue

    ()

Abstract

We consider the problem of fairly dividing $$l$$ divisible goods among $$n$$ agents with the generalized Leontief preferences. We propose and characterize the class of generalized egalitarian rules which satisfy efficiency, group strategy-proofness, anonymity, resource monotonicity, population monotonicity, envy-freeness and consistency. On the Leontief domain, our rules generalize the egalitarian-equivalent rules with reference bundles. We also extend our rules to agent-specific and endowment-specific egalitarian rules. The former is a larger class of rules satisfying all the previous properties except anonymity and envy-freeness. The latter is a class of efficient, group strategy-proof, anonymous and individually rational rules when the resources are assumed to be privately owned. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.
  • Handle: RePEc:spr:joecth:v:54:y:2013:i:3:p:597-622 DOI: 10.1007/s00199-012-0724-0
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    References listed on IDEAS

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    Cited by:

    1. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.

    More about this item

    Keywords

    Fair division; Egalitarian rules; Group strategy-proofness; Generalized Leontief preferences; Social choice; Exchange economies; D51; D71;

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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