Theoretical Economics, Volume 14, Number 1 (January 2019)

Theoretical Economics 14 (2019), 103–134


Boundedly rational backward induction

Shaowei Ke

Abstract


This paper proposes simple axioms that characterize a generalization of backward induction. At any node of a decision tree, the decision maker looks forward a fixed number of stages perfectly. Beyond that, the decision maker aggregates continuation values according to a function that captures reasoning under unpredictability. The model is uniquely identified from the decision maker's preference over decision trees. Confronting a decision tree, the decision maker iteratively revises her plan for the future as she moves forward in the decision tree. A comparative measure of unpredictability aversion and several examples are discussed.

Keywords: Dynamic choice, imperfect foresight, time inconsistency

JEL classification: D00

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