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Efficient Division When Preferences are Private: Using the Expected Externality Mechanism

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  • Aperjis, Christina

    (Power Auctions LLC)

  • Kotowski, Maciej

    (Harvard Kennedy School)

  • Zeckhauser, Richard

    (Harvard Kennedy School)

Abstract

We study the problem of allocating multiple items to two agents whose cardinal preferences are private information. If money is available, Bayesian incentive compatibility and ex-ante Pareto efficiency can be achieved using the Expected Externality Mechanism (EEM). Absent money, under certain reasonable conditions, Bayesian incentive compatibility and ex-post Pareto efficiency remain achievable with a modified EEM that uses one good as a numeraire in lieu of money. We study this modified EEM’s properties and compare it with other allocation procedures.

Suggested Citation

  • Aperjis, Christina & Kotowski, Maciej & Zeckhauser, Richard, 2019. "Efficient Division When Preferences are Private: Using the Expected Externality Mechanism," Working Paper Series rwp19-014, Harvard University, John F. Kennedy School of Government.
  • Handle: RePEc:ecl:harjfk:rwp19-014
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    References listed on IDEAS

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    1. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    2. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    3. Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
    4. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    5. Kojima, Fuhito, 2009. "Random assignment of multiple indivisible objects," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 134-142, January.
    6. Nicolaus Tideman & Florenz Plassmann, 2017. "Efficient collective decision-making, marginal cost pricing, and quadratic voting," Public Choice, Springer, vol. 172(1), pages 45-73, July.
    7. 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.
    8. 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.
    9. Chatterjee, Kaylan & Pratt, John W. & Zeckhauser, Richard J., 1978. "Paying the expected externality for a price quote achieves bargaining efficiency," Economics Letters, Elsevier, vol. 1(4), pages 311-313.
    10. Olga Gorelkina, 2018. "The expected externality mechanism in a level-k environment," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 103-131, March.
    11. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    12. Vincent P. Crawford, 1977. "A Game of Fair Division," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 235-247.
    13. Preston McAfee, R., 1992. "Amicable divorce: Dissolving a partnership with simple mechanisms," Journal of Economic Theory, Elsevier, vol. 56(2), pages 266-293, April.
    14. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    15. 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.
    16. 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.
    17. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    18. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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