Econometrica: Nov 2013, Volume 81, Issue 6

Every Choice Function Is Backwards‐Induction Rationalizable

https://doi.org/10.3982/ECTA11419
p. 2521-2534

Walter Bossert, Yves Sprumont

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.

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