Tops Responsiveness, Strategy-Proofness And Coalition Formation Problems
This paper introduces a property over agents' preferences, called Tops Responsiveness Condition. Such a property guarantees that the core in Hedonic Coalition Formation games is not empty. It is also shown that a mechanism exists that selects a stable allocation. It turns out that this mechanism, to be called tops covering, is strategy-proof even if the core is not a singleton. Furthermore, we also find out that the tops covering mechanism is the only strategy-proof mechanism that always selects stable allocations.
|Date of creation:||Apr 2001|
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- Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999.
"Core in a Simple Coalition Formation Game,"
Boston College Working Papers in Economics
449, Boston College Department of Economics.
- Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
- José Alcalde & Antonio Romero-Medina, 2006.
"Coalition Formation and Stability,"
Social Choice and Welfare,
Springer, vol. 27(2), pages 365-375, October.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
- Dreze, J H & Greenberg, J, 1980.
"Hedonic Coalitions: Optimality and Stability,"
Econometric Society, vol. 48(4), pages 987-1003, May.
- Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
- José Alcalde, 1994.
"Exchange-proofness or divorce-proofness? Stability in one-sided matching markets,"
Review of Economic Design,
Springer, vol. 1(1), pages 275-287, December.
- José Alcalde, 1995. "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Working Papers. Serie AD 1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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