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Sequential Two-Player Games with Ambiguity

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  • Eichberger, Jürgen

    ()
    (Sonderforschungsbereich 504)

  • Kelsey, David

    ()
    (Department of Economics, The University of Birmingham)

Abstract

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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Bibliographic Info

Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 03-27.

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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
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Cited by:
  1. Eichberger, Jürgen & Grant, Simon & Lefort, Jean-Philippe, 2009. "Neo-additive capacities and updating," Working Papers 0490, University of Heidelberg, Department of Economics.
  2. Jürgen Eichberger & David Kelsey, 2008. "Are the Treasures of Game Theory Ambiguous?," Working Papers 0469, University of Heidelberg, Department of Economics, revised Jul 2008.
  3. Roman Kozhan, 2008. "Non-Additive Anonymous Games," Working Papers wp08-04, Warwick Business School, Finance Group.

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