Menu Auctions with Non-Transferable Utilities and Budget Constraints
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.
|Date of creation:||20 Oct 2011|
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- Milgrom,Paul, 2004.
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- Gene M. Grossman & Elhanan Helpman, 1992.
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- Grossman, G.M. & Helpman, E., 1992. "Protection for Sale," Papers 162, Princeton, Woodrow Wilson School - Public and International Affairs.
- 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.
- Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
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- Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
- 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.
- Dixit, Avinash & Grossman, Gene M. & Helpman, Elhanan, 1997. "Common Agency and Coordination: General Theory and Application to Government Policy Making," Scholarly Articles 3450061, Harvard University Department of Economics.
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