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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 521))

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Abstract

We consider a model in which players can form links between themselves under mutual agreement, and the set of all pairwise agreements is called a network. We stress that we are particularly interested in the case when some players are antagonistic, i.e., that they are separately “desirable” for someone, but “undesirable” when they are together. We define a class of preferences that ensures the stability of networks, if each player is sensitive to her direct neighbors only. However, it turns out that if players are sensitive to their indirect neighbors, antagonism between player may easily prevent stable networks to exist, for a large class of preference profile.

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References

  1. Alcalde, J. (1995) Exchange-proofness or divorce-proofness? stability in onesided matching markets. Economic Design, 1:275–287

    Article  Google Scholar 

  2. Aumann, R. J. and Myerson, R. (1988) Endogenous formation of links between players and of coalitions: an application of the Shapley value. In The Shapley value, A. Roth, ed., Cambridge Univ. Press, Cambridge, 175–191

    Chapter  Google Scholar 

  3. Bala, V. and Goyal, S. (2000) A noncooperative model of network formation. Econometrica, 68:1181–1229

    Article  Google Scholar 

  4. Banerjee, S., Konishi, H. and Sönmez, T. (2001) Core in a simple coalition formation game. Social Choice and Welfare, 18:135–153

    Article  Google Scholar 

  5. Bartholdi, J. and Trick, M. (1986) Stable matching with preferences derived from a psychological model. Operations Research Letters, 5:165–169

    Article  Google Scholar 

  6. Bogomolnaia, A. and Jackson, M. O. (2001) The stability of hedonic coalition structures. Games and Economic Behavior, forthcoming

    Google Scholar 

  7. Chung, K-S. (2000) On the existence of stable roommate matchings. Games and Economic Behavior, 33:206–230

    Article  Google Scholar 

  8. Dutta, B. and Massó, J. (1997) Stability of matching when individuals have preferences over colleagues. Journal of Economic Theory, 2:464–475

    Article  Google Scholar 

  9. Dutta, B. and Mutuswami, S. (1997) Stable networks. Journal of Economic Theory, 76:322–344

    Article  Google Scholar 

  10. Ellickson, B., Grodal, B., Scotchmer, S. and Zame, W. (1999) Clubs and the market. Econometrica, 67:1185–1218

    Article  Google Scholar 

  11. Jackson, M. O. and Watts, A. (1999) The evolution of social and economic network. Journal of Economic Theory, forthcoming

    Google Scholar 

  12. Jackson, M. O. and Wolinsky, A. (1996) A strategic model of social and economic networks. Journal of Economic Theory, 71:44–74

    Article  Google Scholar 

  13. Myerson, R. (1977) Graphs and cooperation in games. Mathematics of Operation Research, 2:225–229

    Article  Google Scholar 

  14. Qin, C-Z. (1996) Endogeneous formation of cooperation structures. Journal of Economic Theory, 69:218–226

    Article  Google Scholar 

  15. Roth, A. and Sotomayor, M. (1990) Two-sided Matching: A study in Game-Theoretic Modeling and Analysis. Econometric Society Monographs, No. 18, Cambridge University Press, Cambridge, England

    Google Scholar 

  16. Sasaki, H. and Toda, M. (1996) Two-sided matching problems with externalities. Journal of Economic Theory, 70:93–108

    Article  Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Haeringer, G. (2003). Stable Hedonic Networks. In: Cowan, R., Jonard, N. (eds) Heterogenous Agents, Interactions and Economic Performance. Lecture Notes in Economics and Mathematical Systems, vol 521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55651-7_11

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  • DOI: https://doi.org/10.1007/978-3-642-55651-7_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44057-4

  • Online ISBN: 978-3-642-55651-7

  • eBook Packages: Springer Book Archive

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