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In Search of Stars: Network Formation among Heterogeneous Agents

Author

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  • Goeree, Jacob K.

    (California Institute of Technology)

  • Riedl, Arno

    (Maastricht University)

  • Ule, Aljaz

    (University of Amsterdam)

Abstract

This paper reports the results of a laboratory experiment on network formation among heterogeneous agents. The experimental design extends the basic Bala-Goyal (2000) model of network formation with decay and two-way flow of benefits by allowing for agents with lower linking costs or higher benefits to others. We consider treatments where agents' types are common knowledge and treatments where agents’ types are private information. In all treatments, the (efficient) equilibrium network has a "star" structure. We find that with homogeneous agents, equilibrium predictions fail completely. In contrast, with heterogeneous agents stars frequently occur, often with the high-value or low-cost agent in the center. Stars are not borne but rather develop: in treatments with a high-value agent, the network's centrality, stability, and efficiency all increase over time. Our results suggest that agents' heterogeneity is a major determinant for the predominance of star-like structures in real-life social networks.

Suggested Citation

  • Goeree, Jacob K. & Riedl, Arno & Ule, Aljaz, 2005. "In Search of Stars: Network Formation among Heterogeneous Agents," IZA Discussion Papers 1754, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp1754
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    1. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    2. Falk Armin & Kosfeld Michael, 2012. "It's all about Connections: Evidence on Network Formation," Review of Network Economics, De Gruyter, vol. 11(3), pages 1-36, September.
    3. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    4. Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
    5. 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.
    6. Bruno S. Frey & Alois Stutzer, 2002. "What Can Economists Learn from Happiness Research?," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 402-435, June.
    7. Ernst Fehr & Georg Kirchsteiger & Arno Riedl, 1993. "Does Fairness Prevent Market Clearing? An Experimental Investigation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 437-459.
    8. Gary Charness & David I. Levine, 2000. "When are Layoffs Acceptable? Evidence from a Quasi-Experiment," ILR Review, Cornell University, ILR School, vol. 53(3), pages 381-400, April.
    9. Bruno Frey & Matthias Benz & Alois Stutzer, 2004. "Introducing Procedural Utility: Not Only What, but Also How Matters," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 160(3), pages 377-401, September.
    10. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    11. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    12. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April.
    13. Gary E Bolton & Jordi Brandts & Axel Ockenfels, 2005. "Fair Procedures: Evidence from Games Involving Lotteries," Economic Journal, Royal Economic Society, vol. 115(506), pages 1054-1076, October.
    14. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    15. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard, 1986. "Fairness as a Constraint on Profit Seeking: Entitlements in the Market," American Economic Review, American Economic Association, vol. 76(4), pages 728-741, September.
    16. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    17. Ernst Fehr & Armin Falk, 1999. "Wage Rigidity in a Competitive Incomplete Contract Market," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 106-134, February.
    18. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    19. Kosfeld Michael, 2004. "Economic Networks in the Laboratory: A Survey," Review of Network Economics, De Gruyter, vol. 3(1), pages 1-23, March.
    20. Charness, Gary & Rabin, Matthew, 2002. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt3d04q5sm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    21. Jackson, Matthew O. & Rogers, Brian W., 2005. "Search in the formation of large networks: How random are socially generated networks?," Working Papers 1216, California Institute of Technology, Division of the Humanities and Social Sciences.
    22. George Loewenstein, 2000. "Emotions in Economic Theory and Economic Behavior," American Economic Review, American Economic Association, vol. 90(2), pages 426-432, May.
    23. Jon Elster, 1998. "Emotions and Economic Theory," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 47-74, March.
    24. Hans Haller & Jurjen Kamphorst & Sudipta Sarangi, 2007. "(Non-)existence and Scope of Nash Networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 597-604, June.
    25. Lane,Robert E., 1991. "The Market Experience," Cambridge Books, Cambridge University Press, number 9780521407373, September.
    26. Friedman, James W., 1985. "Cooperative equilibria in finite horizon noncooperative supergames," Journal of Economic Theory, Elsevier, vol. 35(2), pages 390-398, August.
    27. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    28. Shapiro, Carl & Stiglitz, Joseph E, 1984. "Equilibrium Unemployment as a Worker Discipline Device," American Economic Review, American Economic Association, vol. 74(3), pages 433-444, June.
    29. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    30. Davis Douglas D. & Holt Charles A., 1994. "Equilibrium Cooperation in Three-Person, Choice-of-Partner Games," Games and Economic Behavior, Elsevier, vol. 7(1), pages 39-53, July.
    31. Fehr, Ernst & Kirchsteiger, Georg & Riedl, Arno, 1998. "Gift exchange and reciprocity in competitive experimental markets," European Economic Review, Elsevier, vol. 42(1), pages 1-34, January.
    32. Güth, W. & Marchand, N. & Rulliere, J.-L., 1997. "On the reliability of reprocal fairness -An experimental study-," SFB 373 Discussion Papers 1997,80, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    33. Fraysse, Jean & Moreaux, Michel, 1985. "Collusive equilibria in oligopolies with finite lives," European Economic Review, Elsevier, vol. 27(1), pages 45-55, February.
    34. Callander, Steven & Plott, Charles R., 2005. "Principles of network development and evolution: an experimental study," Journal of Public Economics, Elsevier, vol. 89(8), pages 1469-1495, August.
    35. Charness, Gary & Rabin, Matthew, 2001. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt4qz9k8vg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    36. Ernst Fehr & Simon Gachter & Georg Kirchsteiger, 1997. "Reciprocity as a Contract Enforcement Device: Experimental Evidence," Econometrica, Econometric Society, vol. 65(4), pages 833-860, July.
    37. Robert P. Gilles & Cathleen Johnson, 2000. "original papers : Spatial social networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 273-299.
    38. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
    39. McBride, Michael, 2008. "Position-specific information in social networks: Are you connected?," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 283-295, September.
    40. repec:bpj:rneart:v:3:y:2004:i:1:p:19-41 is not listed on IDEAS
    41. Klein, Benjamin & Leffler, Keith B, 1981. "The Role of Market Forces in Assuring Contractual Performance," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 615-641, August.
    42. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    43. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-480, March.
    44. Samuel Bowles, 1998. "Endogenous Preferences: The Cultural Consequences of Markets and Other Economic Institutions," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 75-111, March.
    45. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-922, July.
    46. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    More about this item

    Keywords

    heterogeneity; stars; network formation; laboratory experiments;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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