Two Folk Manipulability Theorems in the General One-to-one Two-sided Matching Markets with Money
We prove a “General Manipulability Theorem” for general one-to-one two-sided matching markets with money. This theorem implies two folk theorems, the Manipulability Theorem and the General Impossibility Theorem, and provides a sort of converse of the Non-Manipulability Theorem (Demange, 1982, Leonard, 1983, Demange and Gale, 1985).
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- Marilda Sotomayor, 2012. "A further note on the college admission game," International Journal of Game Theory, Springer, vol. 41(1), pages 179-193, February.
- Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
- Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
- 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 461-79, June.
- Sotomayor, Marilda, 2007. "Connecting the cooperative and competitive structures of the multiple-partners assignment game," Journal of Economic Theory, Elsevier, vol. 134(1), pages 155-174, May.
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