If players' beliefs are strictly non-additive, the Dempster-Shafer updating rule can be used to define beliefs off the equilibrium path. We define an equilibrium concept in sequential two-person games where players update their beliefs with the Dempster-Shafer updating rule. We show that in the limit as uncertainty tends to zero, our equilibrium approximates Bayesian Nash equilibrium by imposing context-dependent constraints on beliefs under uncertainty.
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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number
03-27.
Length: 39 pages Date of creation: 13 Oct 2003 Date of revision: Handle: RePEc:xrs:sfbmaa:03-27
Note: Financial assistance from the ESRC senior research fellowship scheme, award no. H52427502595, the School of Social Science at the University of Birmingham, the Department of Economics at the University of Melbourne and The British Academy is gratefully acknowledged. For comments we would like to thank Simon Grant, Hans Haller, Youngse Kim, Bart Lipman, Frank Milne, Shasi Nandeibam, Hyun Shin, Peter Sinclair, Willy Spanjers, Martin Summer, Peter Wakker and participants in seminars at Queen Contact details of provider: Postal: D-68131 Mannheim Phone: (49) (0) 621-292-2547 Fax: (49) (0) 621-292-5594 Email: Web page: http://www.sfb504.uni-mannheim.de/ More information through EDIRC
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Article
Jürgen Eichberger & David Kelsey, 2004.
"Sequential Two-Player Games With Ambiguity,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(4), pages 1229-1261, November.
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Itzhak Gilboa & David Schmeidler, 1991.
"Updating Ambiguous Beliefs,"
Discussion Papers
924, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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Jürgen Eichberger & David Kelsey & Burkhard C. Schipper, 2005.
"Ambiguity and Social Interaction,"
Discussion Papers
59, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
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Eichberger, Jurgen & Kelsey, Davis & Schipper, Burkhard, 2007.
"Ambiguity and Social Interaction,"
Working Papers
05-36, University of California at Davis, Department of Economics.
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Jürgen Eichberger & David Kelsey & Burkhard C. Schipper, 2007.
"Ambiguity and Social Interaction,"
Working Papers
0443, University of Heidelberg, Department of Economics, revised May 2007.
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