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Large vs. Continuum Assignment Economies: Efficiency and Envy-Freeness

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  • Antonio Miralles
  • Marek Pycia

Abstract

Continuum models are often used to study large finite assignment economies. However, some subtleties must be taken into account. We show that in the large finite random assignment problem without transfers, Competitive Equilibrium with vanishing income differences does not asymptotically characterize the set of efficient and envy-free random assignment profiles. This is in sharp contrast with the continuum model counterpart (Ashlagi and Shi, 2015). The problem is driven by the failure of local non-satiation inherent in no-transfer assignment.

Suggested Citation

  • Antonio Miralles & Marek Pycia, 2017. "Large vs. Continuum Assignment Economies: Efficiency and Envy-Freeness," Working Papers 950, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:950
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    random assignments; efficiency; envy-freeness; convergence failure; competitive equilibrium from equal incomes;
    All these keywords.

    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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