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A Simple Selling and Buying Procedure

  • Perez-Castrillo, David
  • Sotomayor, Marilda

For the assignment game, we anlayze the following mechanism: sellers, simultaneously, fix their prices first, then buyers, sequentially, decide which object to buy, if any, among the remaining objects. The first phase of the game determines the potential proces, while the second phase determines the actual matching. We prove that the set of subgame perfect equilibria in pure strategies in the strong sense of the mechanism coincides with the set of sellers' optimal stable outcomes when buyers use maximal strategies.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 103 (2002)
Issue (Month): 2 (April)
Pages: 461-474

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Handle: RePEc:eee:jetheo:v:103:y:2002:i:2:p:461-474
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Roth, Alvin E., 1984. "Misrepresentation and stability in the marriage problem," Journal of Economic Theory, Elsevier, vol. 34(2), pages 383-387, December.
  2. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
  3. José Alcalde, 1995. "Implementation of Stable Solutions to Marriage Problems," Working Papers. Serie AD 1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Gabrielle Demange & Gale David & Marilda Sotomayor, 1986. "Multi-Item Auctions," Post-Print halshs-00670982, HAL.
  5. Alcalde, Jose & Perez-Castrillo, David & Romero-Medina, Antonio, 1998. "Hiring Procedures to Implement Stable Allocations," Journal of Economic Theory, Elsevier, vol. 82(2), pages 469-480, October.
  6. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
  7. Perez-Castrillo J. David, 1994. "Cooperative Outcomes through Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 428-440, November.
  8. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
  9. José Alcalde Pérez & Antonio Romero-Medina, 1996. "Simple mechanisms to implement the core of college admissions problems," Working Papers. Serie AD 1996-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  10. Kamecke, U, 1989. "Non-cooperative Matching Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 423-31.
  11. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  12. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
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