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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.

Suggested Citation

  • José Alcalde & Pablo Revilla, 2003. "Researching with Whom? Stability and Manipulation," Economic Working Papers at Centro de Estudios Andaluces E2003/35, Centro de Estudios Andaluces.
  • Handle: RePEc:cea:doctra:e2003_35
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    References listed on IDEAS

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    1. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882.
    2. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
    3. José Alcalde & Antonio Romero-Medina, 2006. "Coalition Formation and Stability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 365-375, October.
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    5. Sotomayor, Marilda, 1996. "A Non-constructive Elementary Proof of the Existence of Stable Marriages," Games and Economic Behavior, Elsevier, vol. 13(1), pages 135-137, March.
    6. Antonio Romero-Medina & Katari´na Cechlárová, 2001. "Stability in coalition formation games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 487-494.
    7. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    8. Alcalde, Jose & Barbera, Salvador, 1994. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 417-435, May.
    9. 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.
    10. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    11. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 275-287, December.
    12. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    13. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Cited by:

    1. Dimitrov, Dinko & Sung, Shao Chin, 2007. "On top responsiveness and strict core stability," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 130-134, February.
    2. Geoffroy de Clippel & Roberto Serrano, 2008. "Bargaining, coalitions and externalities: A comment on Maskin," Working Papers 2008-11, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    3. Dinko Dimitrov & Peter Borm & Ruud Hendrickx & Shao Sung, 2006. "Simple Priorities and Core Stability in Hedonic Games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 421-433, April.
    4. Dinko Dimitrov & Shao Chin Sung, 2006. "A Taxonomy of Myopic Stability Concepts for Hedonic Games," Working Papers 2006.10, Fondazione Eni Enrico Mattei.
    5. Pablo Revilla, 2004. "Many-to-one Matching When Colleagues Matter," Economic Working Papers at Centro de Estudios Andaluces E2004/85, Centro de Estudios Andaluces.
    6. Carmelo Rodriguez-Alvarez, 2004. "On the Impossibility of Strategy-Proof Coalition Formation Rules," Economics Bulletin, AccessEcon, vol. 4(10), pages 1-8.
    7. Carmelo Rodríguez-Álvarez, 2009. "Strategy-proof coalition formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 431-452, November.
    8. Karakaya, Mehmet, 2011. "Hedonic coalition formation games: A new stability notion," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 157-165, May.
    9. repec:the:publsh:2870 is not listed on IDEAS
    10. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    11. Hans Gersbach & Hans Haller, 2011. "Bargaining cum voice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 199-225, February.
    12. Papai, Szilvia, 2004. "Unique stability in simple coalition formation games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 337-354, August.
    13. Hakan İnal, 2015. "Core of coalition formation games and fixed-point methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 745-763, December.
    14. repec:ebl:ecbull:v:4:y:2004:i:10:p:1-8 is not listed on IDEAS
    15. Dimitrov, Dinko & Sung, Shao Chin, 2011. "Top responsiveness and stable partitions in coalition formation games," Center for Mathematical Economics Working Papers 365, Center for Mathematical Economics, Bielefeld University.
    16. Bo Chen, 2013. "Assignment Games with Externalities And Matching-Based Competition," Bonn Econ Discussion Papers bgse08_2013, University of Bonn, Germany.
    17. Mehmet Karakaya & Bettina Klaus, 2017. "Hedonic coalition formation games with variable populations: core characterizations and (im)possibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 435-455, May.
    18. Shao Sung & Dinko Dimitrov, 2007. "On Myopic Stability Concepts for Hedonic Games," Theory and Decision, Springer, vol. 62(1), pages 31-45, February.
    19. Suksompong, Warut, 2015. "Individual and group stability in neutral restrictions of hedonic games," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 1-5.
    20. Mumcu, Ayse & Saglam, Ismail, 2010. "Stable one-to-one matchings with externalities," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 154-159, September.
    21. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

    More about this item

    Keywords

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

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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