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Article: From local utility to neural networks

TitleFrom local utility to neural networks
Authors
KeywordsLinear utility function
Maxmin utility
Neural networks
Piecewise linear utility function
Issue Date1-Aug-2024
PublisherElsevier
Citation
Journal of Mathematical Economics, 2024, v. 113 How to Cite?
Abstract

We introduce and analyze two preference-based notions of local linearity in the spirit of Machina (1982). We show how the weaker among the two extends Machina's local utility analysis, and that the stronger among the two characterizes continuous finite piecewise linear (CFPL) utility functions. We introduce a representation of the decision maker's preference called the neural-network utility representation that is equivalent to the CFPL representation, in which the decision maker evaluates an alternative through a neural network.


Persistent Identifierhttp://hdl.handle.net/10722/358205
ISSN
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 0.707
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorKe, Shaowei-
dc.contributor.authorZhao, Chen-
dc.date.accessioned2025-07-26T00:30:21Z-
dc.date.available2025-07-26T00:30:21Z-
dc.date.issued2024-08-01-
dc.identifier.citationJournal of Mathematical Economics, 2024, v. 113-
dc.identifier.issn0304-4068-
dc.identifier.urihttp://hdl.handle.net/10722/358205-
dc.description.abstract<p>We introduce and analyze two preference-based notions of local linearity in the spirit of Machina (1982). We show how the weaker among the two extends Machina's local utility analysis, and that the stronger among the two characterizes continuous finite piecewise linear (CFPL) utility functions. We introduce a representation of the decision maker's preference called the neural-network utility representation that is equivalent to the CFPL representation, in which the decision maker evaluates an alternative through a neural network.</p>-
dc.languageeng-
dc.publisherElsevier-
dc.relation.ispartofJournal of Mathematical Economics-
dc.subjectLinear utility function-
dc.subjectMaxmin utility-
dc.subjectNeural networks-
dc.subjectPiecewise linear utility function-
dc.titleFrom local utility to neural networks -
dc.typeArticle-
dc.identifier.doi10.1016/j.jmateco.2024.103003-
dc.identifier.scopuseid_2-s2.0-85195682139-
dc.identifier.volume113-
dc.identifier.eissn1873-1538-
dc.identifier.isiWOS:001257662000001-
dc.identifier.issnl0304-4068-

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