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Stable Networks

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Part of the book series: Studies in Economic Design ((DESI))

Abstract

A network is a graph where the nodes represent agents and an arc exists between two nodes if the corresponding agents interact bilaterally. An exogeneous value function gives the value of each network, while an allocation rule describes how the value is distributed amongst the agents. M. Jackson and A. Wolinsky (1996, J. Econ. Theory 71, 44–74) have recently demonstrated a potential conflict between stability and efficiency in this framework. In this paper, we use an implementation approach to see whether the tension between stability and efficiency can be resolved.

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References

  1. R. Aumann and R. Myerson (1988) Endogenous formation of links between players and coalitions: An application of the Shapley value. In: (A. Roth (Ed.) The Shapley Value, Cambridge Univ. Press, Cambridge, UK.

    Google Scholar 

  2. B. D. Bernheim, B. Peleg, M. Whinston (1987) Coalition-proof Nash equilibria I. Concepts, J. Econ. Theory 42: 1–12.

    Article  Google Scholar 

  3. B. Dutta, A. van den Nouweland, and S. Tijs (1995) Link Formation in Cooperative Situations, Discussion Paper 95–02, Indian Statistical Institute, New Delhi.

    Google Scholar 

  4. S. Goyal (1993) Sustainable Communication Networks, Tinbergen Institute Discussion Paper TI 93–250.

    Google Scholar 

  5. S. Hart and M. Kurz (1983) Endogenous formation of cooperative structures, Econometrica 51: 1047–1064.

    Article  Google Scholar 

  6. K. Hendricks, M. Piccione, G. Tan (1995) The economics of hubs: The case of monopoly, Rev. Econ. Stud. 62: 83–100.

    Article  Google Scholar 

  7. D. Henriet and H. Moulin (1995) Traffic-based cost allocation in a network, Rund J. Econ. 27: 332–345.

    Article  Google Scholar 

  8. B. M. Jackson and A. Wolinsky (1996) A strategic model of economic and social networks, J. Econ. Theory 71: 44–74.

    Article  Google Scholar 

  9. J. Landa (1983) The enigma of the Kula ring: Gift exchanges and primitive law and order, Int. Rev. Luiv Econ. 3: 137–160.

    Article  Google Scholar 

  10. T. Marschak, S. Reichelstein (1993) Communication requirements for individual agents in network mechanisms and hierarchies. In: J. Ledyard (Ed.) The Economics of Information Decentralization: Complexity, Efficiency and Stability, Kluwer Academic Press, Boston.

    Google Scholar 

  11. R. Myerson (1977) Graphs and cooperation in games, Math. Oper. Res. 2: 225–229.

    Article  Google Scholar 

  12. R. Myerson (1991) Game Theory: Analysis of Conflict, Harvard Univ. Press, Cambridge.

    Google Scholar 

  13. A. van den Nouweland (1993) Games and Graphs in Economic Situations, Ph. D. thesis, Tilburg University, The Netherlands.

    Google Scholar 

  14. C. Qin (1996) Endogenous formation of cooperative structures, J. Econ. Theory 69: 218–226.

    Article  Google Scholar 

  15. W. Sharkey (1993) Network models in economics. In: The Handbook of Operations Research and Management Science.

    Google Scholar 

  16. B. Wellman and S. Berkowitz (1988) Social Structure: A Network Approach, Cambridge Univ. Press, Cambridge, UK.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Dutta, B., Mutuswami, S. (2003). Stable Networks. In: Dutta, B., Jackson, M.O. (eds) Networks and Groups. Studies in Economic Design. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24790-6_5

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  • DOI: https://doi.org/10.1007/978-3-540-24790-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07719-7

  • Online ISBN: 978-3-540-24790-6

  • eBook Packages: Springer Book Archive

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