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Evaluating Assignment without Transfers: A Market Perspective

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  • He, Yinghua
  • Li, Sanxi
  • Yan, Jianye

Abstract

We show that every (random) assignment/allocation without transfers can be considered as a market outcome with personalized prices and an equal income. One can thus evaluate an assignment by investigating the prices and the induced opportunity sets. When prices are proportional across agents, the assignment is efficient; when prices are common, the assignment is both efficient and envy-free. Moreover, this market perspective reveals a weakness of envy-freeness.

Suggested Citation

  • He, Yinghua & Li, Sanxi & Yan, Jianye, 2015. "Evaluating Assignment without Transfers: A Market Perspective," TSE Working Papers 15-559, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:29118
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    References listed on IDEAS

    as
    1. Yinghua He & Antonio Miralles & Jianye Yan, 2012. "Competitive Equilibrium from Equal Incomes for Two-Sided Matching," Working Papers 692, Barcelona School of Economics.
    2. Varian, Hal R., 1976. "Two problems in the theory of fairness," Journal of Public Economics, Elsevier, vol. 5(3-4), pages 249-260.
    3. Zhou, Lin, 1990. "On a conjecture by gale about one-sided matching problems," Journal of Economic Theory, Elsevier, vol. 52(1), pages 123-135, October.
    4. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    5. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    6. Eric Budish & Yeon-Koo Che & Fuhito Kojima & Paul Milgrom, 2013. "Designing Random Allocation Mechanisms: Theory and Applications," American Economic Review, American Economic Association, vol. 103(2), pages 585-623, April.
    7. Yinghua He & Antonio Miralles & Marek Pycia & Jianye Yan, 2018. "A Pseudo-Market Approach to Allocation with Priorities," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 272-314, August.
    8. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    9. Eric Budish, 2011. "The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1061-1103.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Gabrielle Fack & Julien Grenet & Yinghua He, 2019. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," American Economic Review, American Economic Association, vol. 109(4), pages 1486-1529, April.
    2. Federico Echenique & Antonio Miralles & Jun Zhang, 2021. "Constrained Pseudo-Market Equilibrium," American Economic Review, American Economic Association, vol. 111(11), pages 3699-3732, November.
    3. Yinghua He & Antonio Miralles & Marek Pycia & Jianye Yan, 2018. "A Pseudo-Market Approach to Allocation with Priorities," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 272-314, August.
    4. Tierney, Ryan, 2019. "The problem of multiple commons: A market design approach," Games and Economic Behavior, Elsevier, vol. 114(C), pages 1-27.
    5. Echenique, Federico & Miralles, Antonio & Zhang, Jun, 2023. "Balanced equilibrium in pseudo-markets with endowments," Games and Economic Behavior, Elsevier, vol. 141(C), pages 428-443.
    6. Federico Echenique & Antonio Miralles & Jun Zhang, 2018. "Fairness and Efficiency for Probabilistic Allocations with Endowments," Working Papers 1055, Barcelona School of Economics.
    7. Echenique, Federico & Miralles, Antonio & Zhang, Jun, 2023. "Balanced equilibrium in pseudo-markets with endowments," Department of Economics, Working Paper Series qt66p0x6rp, Department of Economics, Institute for Business and Economic Research, UC Berkeley.

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    More about this item

    Keywords

    allocation without transfers; competitive equilibrium; equal incomes; market perspective; envy-free; Pareto efficient; coalitional-envy-free; random assignment;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • 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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