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Global Games with Strategic Substitutes

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In this paper we use a non cooperative equilibrium selection approach as a notion of stability in link formation games. Specifically, we follow the global games approach first introduced by Carlsson and van Damme (1993), to study the robustness of the set of Nash equilibria for a class of link formation games in strategic form with supermodular payo. functions. Interestingly, the equilibrium selected is in conflict with those predicted by the traditional cooperative refinements. Moreover, we get a conflict between stability and e.ciency even when no such conflict exists with the cooperative refinements. We discuss some practical issues that these di.erent theoretical approaches raise in reality. The paper also provides an extension of the global game theory that can be applied beyond network literature.

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Paper provided by Georgetown University, Department of Economics in its series Working Papers with number gueconwpa~03-03-07.

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Date of creation: 07 Mar 2003
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Handle: RePEc:geo:guwopa:gueconwpa~03-03-07

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Postal: Georgetown University Department of Economics Washington, DC 20057-1036
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Web page: http://econ.georgetown.edu/

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Postal: Marcia Suss Administrative Officer Georgetown University Department of Economics Washington, DC 20057-1036
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Web: http://econ.georgetown.edu/

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Keywords: Games; Networks; Equilibrium Selection.;

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References

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  1. Gehrig, Thomas & Régibeau, Pierre & Rockett, Katharine, 1998. "Project Evaluation and Organizational Form," CEPR Discussion Papers 1888, C.E.P.R. Discussion Papers.
  2. Weisbuch, Gerard & Alan Kirman & Dorothea K. Herreiner, 1996. "Market Organization," Discussion Paper Serie B 391, University of Bonn, Germany.
  3. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  4. Hendricks, Ken & Piccione, Michele & Tan, Guofu, 1995. "The Economics of Hubs: The Case of Monopoly," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 83-99, January.
  5. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
  6. Atsushi Kajii & Stephen Morris, . ""The Robustness of Equilibria to Incomplete Information*''," CARESS Working Papres 95-18, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  7. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  8. Carlsson, H. & Damme, E.E.C. van, 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  9. Dutta, B. & Nouweland, C.G.A.M. van den & Tijs, S.H., 1995. "Link formation in cooperative situations," Discussion Paper 1995-35, Tilburg University, Center for Economic Research.
  10. David M. Frankel & Stephen Morris & Ady Pauzner, 2000. "Equilibrium Selection in Global Games with Strategic Complementarities," Econometric Society World Congress 2000 Contributed Papers 1490, Econometric Society.
  11. John C Harsanyi, 1997. "Games with incomplete information played by "bayesian" players," Levine's Working Paper Archive 1175, David K. Levine.
  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.
  13. Tesfatsion, Leigh S., 1998. "Gale-Shapley Matching in an Evolutionary Trade Network Game," Staff General Research Papers 1230, Iowa State University, Department of Economics.
  14. Deborah F. Minehart & Rachel E. Kranton, 2000. "original papers : Competition for goods in buyer-seller networks," Review of Economic Design, Springer, vol. 5(3), pages 301-331.
  15. (*), Anne van den Nouweland & Marco Slikker, 2000. "original papers : Network formation models with costs for establishing links," Review of Economic Design, Springer, vol. 5(3), pages 333-362.
  16. Montgomery, James D, 1991. "Social Networks and Labor-Market Outcomes: Toward an Economic Analysis," American Economic Review, American Economic Association, vol. 81(5), pages 1407-18, December.
  17. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  18. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
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Citations

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Cited by:
  1. Eric Hoffmann, 2013. "Global Games Selection in Games with Strategic Substitutes or Complements," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201308, University of Kansas, Department of Economics.
  2. Rodrigo Harrison & Pedro Jara-Moroni, 2013. "A Dominance Solvable Global Game with Strategic Substitutes," Documentos de Trabajo 440, Instituto de Economia. Pontificia Universidad Católica de Chile..
  3. Rosenkranz, Stephanie & Weitzel, Utz, 2012. "Network structure and strategic investments: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 75(2), pages 898-920.

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