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Every Choice Function Is Backwards-Induction Rationalizable

Walter Bossert, Yves Sprumont

Econometrica · 2013 · Volume 81 · Issue 6

DOI: 10.3982/ECTA11419

Abstract

A choice function is backwards-induction rationalizable if there exists a finite perfect-information extensive-form game such that for each subset of alternatives, the backwards-induction outcome of the restriction of the game to that subset of alternatives coincides with the choice from that subset. We prove that every choice function is backwards-induction rationalizable.

Keywords

Backwards induction, rationalizable choice

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