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Menu Auctions with Non-Transferable Utilities and Budget Constraints

Author

Listed:
  • Chiu Yu Ko

    (Boston College)

Abstract

This paper extends Bernheim and Whinston's (1986) menu auction model under transferable utilities to a framework with non-transferable utilities and budget constraints. Under appropriate definitions of equilibria, it is shown that every truthful Nash equilibrium (TNE) is a coalition-proof Nash equilibrium (CPNE) and that the set of TNE payoffs and the set of CPNE payoffs are equivalent, as in a transferable utility framework. The existence of a CPNE is assured in contrast with the possible non-existence of Nash equilibrium under the definition by Dixit, Grossman, and Helpman (1997). Moreover, the set of CPNE payoffs is equivalent to the bidder-optimal weak core.

Suggested Citation

  • Chiu Yu Ko, 2011. "Menu Auctions with Non-Transferable Utilities and Budget Constraints," Boston College Working Papers in Economics 787, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:787
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    References listed on IDEAS

    as
    1. Grossman, Gene M & Helpman, Elhanan, 1994. "Protection for Sale," American Economic Review, American Economic Association, vol. 84(4), pages 833-850, September.
    2. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, January.
    3. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
    4. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    5. Dixit, Avinash & Grossman, Gene M & Helpman, Elhanan, 1997. "Common Agency and Coordination: General Theory and Application to Government Policy Making," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 752-769, August.
    6. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
    7. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
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    Cited by:

    1. Boultzis, Ilias, 2015. "Common agency with caring agents," Economics Letters, Elsevier, vol. 126(C), pages 71-74.

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    More about this item

    Keywords

    non-transferable utility; menu auction; coalition-proof Nash equilibrium; truthful Nash equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other

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