IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp1754.html
   My bibliography  Save this paper

In Search of Stars: Network Formation among Heterogeneous Agents

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp1754.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    9. 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.
    10. Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
    11. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
    12. McBride, Michael, 2008. "Position-specific information in social networks: Are you connected?," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 283-295, September.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    19. 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.
    20. repec:bpj:rneart:v:3:y:2004:i:1:p:19-41 is not listed on IDEAS
    21. 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.
    22. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    23. 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.
    24. 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.
    25. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    26. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    27. Kosfeld Michael, 2004. "Economic Networks in the Laboratory: A Survey," Review of Network Economics, De Gruyter, vol. 3(1), pages 1-23, March.
    28. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-480, March.
    29. 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.
    30. 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.
    31. George Loewenstein, 2000. "Emotions in Economic Theory and Economic Behavior," American Economic Review, American Economic Association, vol. 90(2), pages 426-432, May.
    32. Jon Elster, 1998. "Emotions and Economic Theory," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 47-74, March.
    33. 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.
    34. Lane,Robert E., 1991. "The Market Experience," Cambridge Books, Cambridge University Press, number 9780521407373.
    35. Friedman, James W., 1985. "Cooperative equilibria in finite horizon noncooperative supergames," Journal of Economic Theory, Elsevier, vol. 35(2), pages 390-398, August.
    36. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    37. 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.
    38. 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.
    39. 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.
    40. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-922, July.
    41. 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.
    42. Fraysse, Jean & Moreaux, Michel, 1985. "Collusive equilibria in oligopolies with finite lives," European Economic Review, Elsevier, vol. 27(1), pages 45-55, February.
    43. 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.
    44. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jordi Brandts & Arno Riedl & Frans van Winden, 2004. "Competition and Well-Being," Working Papers 120, Barcelona School of Economics.
    2. Brandts, Jordi & Riedl, Arno & van Winden, Frans, 2009. "Competitive rivalry, social disposition, and subjective well-being: An experiment," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1158-1167, December.
    3. Kleimeier, Stefanie & Sander, Harald, 2006. "Regional versus global integration of euro-zone retail banking markets: Understanding the recent evidence from price-based integration measures," The Quarterly Review of Economics and Finance, Elsevier, vol. 46(3), pages 353-368, July.
    4. Martin Brown & Armin Falk & Ernst Fehr, 2004. "Relational Contracts and the Nature of Market Interactions," Econometrica, Econometric Society, vol. 72(3), pages 747-780, May.
    5. 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.
    6. John A. List, 2006. "The Behavioralist Meets the Market: Measuring Social Preferences and Reputation Effects in Actual Transactions," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 1-37, February.
    7. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    8. Lin, Chung-Cheng & Yang, C.C., 2010. "Reciprocity and downward wage rigidity," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1155-1168, December.
    9. Fehr, Ernst & Schmidt, Klaus M., 2005. "The Economics of Fairness, Reciprocity and Altruism – Experimental Evidence and New Theories," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 66, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    10. Brandts, Jordi & Charness, Gary, 2003. "Do Market Conditions Affect Gift Exchange? Evidence from Experimental Markets," University of California at Santa Barbara, Economics Working Paper Series qt6gz8v3v1, Department of Economics, UC Santa Barbara.
    11. Linfeng Chen, 2021. "Reciprocity Game," Bulletin of Economic Research, Wiley Blackwell, vol. 73(1), pages 131-141, January.
    12. Cassar, Lea & Armouti-Hansen, Jesper & Dereky, Anna & Engl, Florian, 2021. "Efficiency Wages with Motivated Agents," CEPR Discussion Papers 15723, C.E.P.R. Discussion Papers.
    13. Paul J. Healy, 2007. "Group Reputations, Stereotypes, and Cooperation in a Repeated Labor Market," American Economic Review, American Economic Association, vol. 97(5), pages 1751-1773, December.
    14. Jesper Armouti-Hansen & Lea Cassar & Anna Deréky & Florian Engl, 2020. "Efficiency Wages with Motivated Agents," CESifo Working Paper Series 8474, CESifo.
    15. Hernán Bejarano & Brice Corgnet & Joaquín Gómez-Miñambres, 2019. "Labor Contracts, Gift-Exchange and Reference Wages: Your Gift Need Not Be Mine!," Working Papers 19-26, Chapman University, Economic Science Institute.
    16. Armin Falk & David Huffman & W. Bentley Macleod, 2015. "Institutions and Contract Enforcement," Journal of Labor Economics, University of Chicago Press, vol. 33(3), pages 571-590.
    17. Charness, Gary & Kuhn, Peter, 2011. "Lab Labor: What Can Labor Economists Learn from the Lab?," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 3, pages 229-330, Elsevier.
    18. Bejarano, Hernán & Corgnet, Brice & Gómez-Miñambres, Joaquín, 2021. "Economic stability promotes gift-exchange in the workplace," Journal of Economic Behavior & Organization, Elsevier, vol. 187(C), pages 374-398.
    19. Klaus M. Schmidt, 2011. "Social Preferences and Competition," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 207-231, August.
    20. Martin Brown & Armin Falk & Ernst Fehr, "undated". "Contractual Incompleteness and the Nature of Market Interactions," IEW - Working Papers 038, Institute for Empirical Research in Economics - University of Zurich.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:iza:izadps:dp1754. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.