Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

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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