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Researching with Whom? Stability and Manipulation

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Abstract

This paper explores the existence of stable research teams, when each agent's preferences depend on the set of researchers collaborating with her. We introduce a property over researchers' preferences, called tops responsiveness guaranteeing the existence of stable research teams configurations. We also provide a stable mechanism, induced by the so-called tops covering algorithm, which is strategy-proof when researchers preferences satisfy tops responsiveness. Furthermore, we also find out that, in this framework the tops covering mechanism is the unique strategy-proof mechanism that always selects stable allocations.

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File URL: http://public.centrodeestudiosandaluces.es/pdfs/E200335.pdf
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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2003/35.

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Length: 38 pages
Date of creation: 2003
Date of revision:
Handle: RePEc:cea:doctra:e2003_35

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Keywords: Coalition Formation; Research Teams Configurations; Stability; Strategy-Proofness.;

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  1. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, Springer, vol. 18(1), pages 135-153.
  2. Sotomayor, Marilda, 1996. "A Non-constructive Elementary Proof of the Existence of Stable Marriages," Games and Economic Behavior, Elsevier, Elsevier, vol. 13(1), pages 135-137, March.
  3. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, Econometric Society, vol. 48(4), pages 987-1003, May.
  4. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, Econometric Society, vol. 41(4), pages 587-601, July.
  5. José Alcalde & Antonio Romero-Medina, 2006. "Coalition Formation and Stability," Social Choice and Welfare, Springer, Springer, vol. 27(2), pages 365-375, October.
  6. José Alcalde, 1995. "Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Alcalde, J. & Barberà, S., 1992. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," UFAE and IAE Working Papers, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) 196.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, Econometric Society, vol. 67(3), pages 677-690, May.
  9. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  10. 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, Elsevier, vol. 10(2), pages 187-217, April.
  11. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, Elsevier, vol. 38(2), pages 201-230, February.
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