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Group Play in Games and the Role of Consent in Network Formation

  • Charness, Gary
  • Jackson, Matthew O.

We study games played between groups of players, where a given group decides which strategy it will play through a vote by its members. When groups consist of two voting players, our games can also be interpreted as network-formation games. In experiments on Stag Hunt games, we find that that the structure of the voting rule completely determines which equilibrium is played, independently of the payoff structure. Thus, we find a stark contrast between how groups and individuals play our games, with payoffs playing a much more important role in equilibrium selection in the latter case. We also explore play between groups where one member of each group dictates the play of that group. We find that the dictator tends to play a less risky strategy when choosing for a group than when playing only for him or herself. We develop a new solution concept, robust-belief equilibrium, which explains the data that we observe. We provide results showing that this solution concept has application beyond the particular games in our experiments.

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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1193.

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Length: 50 pages
Date of creation: May 2004
Date of revision:
Publication status: Published: Forthcoming in Journal of Economic Theory.
Handle: RePEc:clt:sswopa:1193
Contact details of provider: Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
Phone: 626 395-4065
Fax: 626 405-9841
Web page: http://www.hss.caltech.edu/ss
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Order Information: Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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  1. 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.
  2. Alan S. Blinder & John Morgan, 2001. "Are Two Heads Better Than One?: An Experimental Analysis of Group vs. Individual Decisionmaking," Working Papers 130, Princeton University, Department of Economics, Center for Economic Policy Studies..
  3. Cason, Timothy N & Mui, Vai-Lam, 1997. "A Laboratory Study of Group Polarisation in the Team Dictator Game," Economic Journal, Royal Economic Society, vol. 107(444), pages 1465-83, September.
  4. Bornstein, Gary & Gneezy, Uri & Nagel, Rosmarie, 2002. "The effect of intergroup competition on group coordination: an experimental study," Games and Economic Behavior, Elsevier, vol. 41(1), pages 1-25, October.
  5. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
  6. Carlsson, H. & van Damme, E.E.C., 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  7. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  8. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  9. J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
  10. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
  11. 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.
  12. Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
  13. Miguel Costa-Gomes & Vincent P. Crawford & Bruno Broseta, . "Cognition and Behavior in Normal-Form Games:An Experimental Study," Discussion Papers 00/45, Department of Economics, University of York.
  14. Martin G. Kocher & Matthias Sutter, 2004. "The Decision Maker Matters: Individual versus Group Behaviour in Experimental Beauty-Contest Games," Papers on Strategic Interaction 2004-09, Max Planck Institute of Economics, Strategic Interaction Group.
  15. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA.
  16. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
  17. David J. Cooper & John H. Kagel, 2005. "Are Two Heads Better Than One? Team versus Individual Play in Signaling Games," American Economic Review, American Economic Association, vol. 95(3), pages 477-509, June.
  18. D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
  19. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
  20. P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
  21. 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, June.
  22. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  23. Charness, Gary, 2000. "Responsibility and effort in an experimental labor market," Journal of Economic Behavior & Organization, Elsevier, vol. 42(3), pages 375-384, July.
  24. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
  25. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer, vol. 10(2), pages 171-178, June.
  26. Guillaume R. Frechette & John H. Kagel & Steven Lehrer, 2000. "Bargaining in Legislatures: An Experimental Investigation of Open versus Closed Amendment Rules," Econometric Society World Congress 2000 Contributed Papers 1515, Econometric Society.
  27. John Duggan, . "Non-Cooperative Games Among Groups," Wallis Working Papers WP21, University of Rochester - Wallis Institute of Political Economy.
  28. repec:ner:tilbur:urn:nbn:nl:ui:12-154416 is not listed on IDEAS
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