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On Forward Induction
Econometrica (2009)
  • Srihari Govindan, University of Iowa
  • Robert B Wilson, Stanford University

A player's pure strategy is called relevant for an outcome of a game in extensive form with perfect recall if there exists a weakly sequential equilibrium with that outcome for which the strategy is an optimal reply at every information set it does not exclude. The outcome satisfies forward induction if it results from a weakly sequential equilibrium in which players' beliefs assign positive probability only to relevant strategies at each information set reached by a profile of relevant strategies. We prove that if there are two players and payoffs are generic then an outcome satisfies forward induction if every game with the same reduced normal form after eliminating redundant pure strategies has a sequential equilibrium with an equivalent outcome. Thus in this case forward induction is implied by decision-theoretic criteria.

  • equilibrium,
  • selection,
  • decision theory
Publication Date
January, 2009
Citation Information
Srihari Govindan and Robert B Wilson. "On Forward Induction" Econometrica Vol. 77 Iss. 1 (2009)
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