Unique Tarski Fixed Points

Massimo Marinacci
Corresponding Author
Massimo Marinacci
http://orcid.org/0000-0002-0079-4176
Department of Decision Sciences and Innocenzo Gasparini Institute for Economic Research, Università Bocconi, 20136 Milan, Italy;
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,
Luigi Montrucchio
Luigi Montrucchio
Collegio Carlo Alberto, Università di Torino, 10122 Torino, Italy
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Corresponding Author

Massimo Marinacci

Department of Decision Sciences and Innocenzo Gasparini Institute for Economic Research, Università Bocconi, 20136 Milan, Italy;

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Luigi Montrucchio

Collegio Carlo Alberto, Università di Torino, 10122 Torino, Italy

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Published Online:4 Jun 2019https://doi.org/10.1287/moor.2018.0959

Abstract

We establish sufficient conditions that ensure the uniqueness of Tarski-type fixed points of monotone operators. A first set of results relies on order concavity, whereas a second one uses subhomogeneity. A few applications that illustrate our results are presented.

cover image Mathematics of Operations Research

Volume 44, Issue 4

November 2019

Pages 1145-1509, C2

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Received:July 19, 2017
Accepted:June 23, 2018
Published Online:June 04, 2019

Cite as

Massimo Marinacci, Luigi Montrucchio (2019) Unique Tarski Fixed Points. Mathematics of Operations Research 44(4):1174-1191.

https://doi.org/10.1287/moor.2018.0959

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Unique Tarski Fixed Points

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Volume 44, Issue 4

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