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Causality: a decision theoretic approach

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  • Pablo Schenone

Abstract

We propose a decision theoretic framework that allows a decision maker to express its causal model of the world. We extend the model of Savage (1972) by allowing the decision maker (DM) to choose policy interventions prior to choosing acts over the nonintervened variables. We define what it means for the DM's choices to express the DM's belief that the relation between some variables is causal. We provide axioms characterizing when the DM's causal model, as expressed through the DM's choices, is represented as a directed acyclic graph. A final axiom characterizes when the DM's causal model has a representation like the one in Pearl (1995). Consequently, under this additional axiom one can apply Pearl's results to identify the DM's causal model from the DM's probabilistic model.

Suggested Citation

  • Pablo Schenone, 2018. "Causality: a decision theoretic approach," Papers 1812.07414, arXiv.org, revised Jul 2024.
    • Handle: RePEc:arx:papers:1812.07414
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    References listed on IDEAS

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    1. Ran Spiegler, 2016. "Bayesian Networks and Boundedly Rational Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1243-1290.
    2. James J. Heckman & Seong Hyeok Moon & Rodrigo Pinto & Peter Savelyev & Adam Yavitz, 2010. "A New Cost-Benefit and Rate of Return Analysis for the Perry Preschool Program: A Summary," NBER Working Papers 16180, National Bureau of Economic Research, Inc.
    3. Ran Spiegler, 2017. "“Data Monkeys”: A Procedural Model of Extrapolation from Partial Statistics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(4), pages 1818-1841.
    4. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
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