Inductive inference with incompleteness

Shiri Alon; Gilad Bavly; Gabrielle Gayer

doi:10.1016/j.geb.2022.01.020

Inductive inference with incompleteness

Shiri Alon, Gilad Bavly, Gabrielle Gayer

Department of Economics

Research output: Contribution to journal › Article › peer-review

Abstract

We present an axiomatic model of a process wherein likelihoods of eventualities are compared based on data. One eventuality is perceived as more likely than another whenever the data corroborates this conclusion. However, the correct relevance of records to the eventualities under consideration may be impossible to ascertain with any degree of surety due to multiple interpretations of the data, formalized by allowing the evaluator to entertain multiple weighting functions. The evaluator ranks one eventuality as more likely than another whenever its total weight over the entire database is higher, according to all relevance-weighting functions. Otherwise, the comparison is indecisive.

Original language	English
Pages (from-to)	576-591
Number of pages	16
Journal	Games and Economic Behavior
Volume	132
DOIs	https://doi.org/10.1016/j.geb.2022.01.020
State	Published - Mar 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Inc.

Funding

We are grateful to Itzhak Gilboa, Ehud Lehrer, David Schmeidler and Peter Wakker for many helpful comments. We thank The Israel Science Foundation , grant number 1188/14 . G. Bavly acknowledges support from the Department of Economics at Bar-Ilan University , the Sir Isaac Wolfson Chair in Economics , ISF grants 1626/18 and 2566/20 , and ERC starting grant # 677057 .

Funders	Funder number
Department of Economics at Bar-Ilan University
European Commission	677057
Israel Science Foundation	2566/20, 1188/14, 1626/18

Keywords

Case-based decision theory
Incompleteness
Inductive inference
Likelihood comparisons

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10.1016/j.geb.2022.01.020

Cite this

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Inductive inference with incompleteness

Abstract

Bibliographical note

Funding

Keywords

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