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The role of trust in costly network formation

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Author Info
Gilles, R.P.
Sarangi, S. (Tilburg University, Center for Economic Research)

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Abstract

We consider game theoretic models of social network formation. In this paper we limit our investigation to game theoretic models of network formation that are based on individual actions only. Our approach is based on three simple and realistic principles: (1) Link formation is a binary process of consent. (2) Link formation is costly. (3) The class of network payo functions should be as general as possible. We provide characterizations of stable networks under the hypothesis of mutual consent in the cases of two-sided and one-sided link formation costs. Furthermore, we introduce a new equilibrium concept based on a limited, realistic form of farsightedness or "trust" in network formation.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 53.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200353

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  1. Sergio Currarini & Massimo Morelli, 2000. "Network Formation with Sequential Demands," Royal Holloway, University of London: Discussion Papers in Economics 99/2, Department of Economics, Royal Holloway University of London, revised Feb 2000. [Downloadable!]
  2. Matthew O. Jackson & Anne van den Nouweland, 2002. "Strongly Stable Networks," Microeconomics 0211006, EconWPA. [Downloadable!]
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  3. Frank H. Page Jr. & Myrna H. Wooders & Samir Kamat, 2002. "Networks and Farsighted Stability," Computing in Economics and Finance 2002 370, Society for Computational Economics.
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  4. Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April. [Downloadable!] (restricted)
  5. Slikker, M. & Nouweland, A. van den, 1999. "Network formation models with costs for establishing links," Research Memorandum 771, Tilburg University, Faculty of Economics and Business Administration. [Downloadable!]
  6. Rod Garratt & Cheng-Zhong Qin, 2003. "On cooperation structures resulting from simultaneous proposals," Economics Bulletin, Economics Bulletin, vol. 3(5), pages 1-9. [Downloadable!]
  7. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October. [Downloadable!] (restricted)
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  8. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer, vol. 27(2), pages 245-256. [Downloadable!] (restricted)
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  9. Hans Haller & Sudipta Sarangi, 2003. "Nash Networks with Heterogeneous Agents," Discussion Papers of DIW Berlin 337, DIW Berlin, German Institute for Economic Research. [Downloadable!]
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  10. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February. [Downloadable!] (restricted)
  11. Matthew O. Jackson, 2003. "Allocation Rules for Network Games," Working Papers 2003.51, Fondazione Eni Enrico Mattei. [Downloadable!]
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  12. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October. [Downloadable!] (restricted)
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  13. Michael McBride, 2003. "Position-Specific Informtion in Social Networks," Levine's Bibliography 506439000000000265, UCLA Department of Economics. [Downloadable!]
  14. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  15. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA. [Downloadable!]
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  16. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. [Downloadable!] (restricted)
  17. Slikker, Marco & van den Nouweland, Anne, 2001. "A One-Stage Model of Link Formation and Payoff Division," Games and Economic Behavior, Elsevier, vol. 34(1), pages 153-175, January. [Downloadable!] (restricted)
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  18. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May. [Downloadable!] (restricted)
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  1. Gönül Dogan & M.A.L.M. van Assen & Arnout van de Rijt & Vincent Buskens, 2007. "The Stability of Exchange Networks," Working Papers 2007.66, Fondazione Eni Enrico Mattei. [Downloadable!]
  2. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  3. Marco A. Marini, 2007. "An Overview of Coalitions and Networks Formation Models for Economic Applications," Working Papers 0707, CREI Università degli Studi Roma Tre, revised 2007. [Downloadable!]
  4. Francis Bloch & Matthew Jackson, 2006. "Definitions of equilibrium in network formation games," International Journal of Game Theory, Springer, vol. 34(3), pages 305-318, October. [Downloadable!] (restricted)
  5. Gilles, R.P. & Chakrabarti, S. & Sarangi, S. & Badasyan, N., 2004. "The role of middlemen in efficient and strongly pairwise stable networks," Discussion Paper 64, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, revised 2007. [Downloadable!]
  7. Sudipta Sarangi & H. Haller, . "Nash Networks with Heterogeneous Agents," Departmental Working Papers 2003-06, Department of Economics, Louisiana State University. [Downloadable!]
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