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Generic Determinacy of Nash Equilibrium in Network Formation Games

  • Carlos Pimienta

    ()

    (School of Economics, The University of New South Wales)

This paper shows that the set of probability distributions over networks induced by Nash equilibria of the network formation game proposed by Myerson (1991) is finite for a generic assignment of payoffs to networks. The same result can be extended to several variations of the game found in the literature.

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File URL: http://wwwdocs.fce.unsw.edu.au/economics/Research/WorkingPapers/2007_31.pdf
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Paper provided by School of Economics, The University of New South Wales in its series Discussion Papers with number 2007-31.

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Length: 12 pages
Date of creation: Oct 2007
Date of revision:
Handle: RePEc:swe:wpaper:2007-31
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  1. Park, I.U., 1993. "Generic Finiteness of Equilibrium Outcome Distribution for Sender Receiver Cheap-Talk Games," Papers 269, Minnesota - Center for Economic Research.
  2. De Sinopoli, Francesco, 2001. "On the Generic Finiteness of Equilibrium Outcomes in Plurality Games," Games and Economic Behavior, Elsevier, vol. 34(2), pages 270-286, February.
  3. Francesco De Sinopoli & Giovanna Iannantuoni, 2002. "On The Generic Strategic Stability Of Nash Equilibria If Voting Is Costly," Economics Working Papers we025620, Universidad Carlos III, Departamento de Economía.
  4. Jackson, Matthew O., 1998. "The Evolution of Social and Economic Networks," Working Papers 1044, California Institute of Technology, Division of the Humanities and Social Sciences.
  5. David M Kreps & Robert Wilson, 2003. "Sequential Equilibria," Levine's Working Paper Archive 618897000000000813, David K. Levine.
  6. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-94, July.
  7. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA.
  8. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  9. Antoni Calvó-Armengol & Rahmi Ilkiliç, 2004. "Pairwise-Stability and Nash Equilibria in Network Formation," Working Papers 182, Barcelona Graduate School of Economics.
  10. Govindan, Srihari & McLennan, Andrew, 2001. "On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms," Econometrica, Econometric Society, vol. 69(2), pages 455-71, March.
  11. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Nicolai S. Kukushkin & Cristian M. Litan & Francisco Marhuenda, 2007. "On the generic finiteness of outcome distributions for bimatrix game forms," Economics Working Papers we073520, Universidad Carlos III, Departamento de Economía.
  13. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
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