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

  • Gary Charness
  • Matthew O. Jackson

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. This contrasts with the play of games between individuals, where payoffs play an important role in equilibrium selection. 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 UCLA Department of Economics in its series Levine's Bibliography with number 122247000000000213.

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Date of creation: 27 May 2004
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Handle: RePEc:cla:levrem:122247000000000213
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  9. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
  10. 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.
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  17. 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.
  18. P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
  19. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  20. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  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.
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  23. 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.
  24. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer, vol. 10(2), pages 171-178, June.
  25. 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.
  26. 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.
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