Supermodular utility representations

Many problems in decision theory and game theory involve choice problems over lattices and invoke the assumption of supermodularity of utility functions. In the context of choice over finite lattices, it is well-known that existence of supermodular representations is equivalent to existence of quasi...

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Autor principal: Francetich, Alejandro
Otros Autores: Universidad Torcuato Di Tella
Formato: Tesis de maestría acceptedVersion
Lenguaje:Español
Publicado: Universidad Torcuato Di Tella 2017
Materias:
Economía
Teoría de juegos
Game theory
Tesis
Acceso en línea:http://repositorio.utdt.edu/handle/utdt/1338
Aporte de:
Repositorio Digital Universidad Torcuato Di Tella de Universidad Torcuato Di Tella
id I57-R16320.500.13098-1338
record_format dspace
institution Universidad Torcuato Di Tella
institution_str I-57
repository_str R-163
collection Repositorio Digital Universidad Torcuato Di Tella
language Español
orig_language_str_mv spa
topic Economía
Teoría de juegos
Game theory
Tesis
spellingShingle Economía
Teoría de juegos
Game theory
Tesis
Francetich, Alejandro
Supermodular utility representations
description Many problems in decision theory and game theory involve choice problems over lattices and invoke the assumption of supermodularity of utility functions. In the context of choice over finite lattices, it is well-known that existence of supermodular representations is equivalent to existence of quasisupermodular ones for monotone preferences. In particular, strictly monotone preferences admit a supermodular representation. This paper revisits the axiomatic foundations of supermodularity of utility functions representing preferences over finite lattices, and develops an axiomatic foundation in the context of choice over lotteries over outcomes in arbitrary lattices.
author2 Universidad Torcuato Di Tella
author_facet Universidad Torcuato Di Tella
Francetich, Alejandro
format Tesis de maestría
acceptedVersion
author Francetich, Alejandro
author_sort Francetich, Alejandro
title Supermodular utility representations
title_short Supermodular utility representations
title_full Supermodular utility representations
title_fullStr Supermodular utility representations
title_full_unstemmed Supermodular utility representations
title_sort supermodular utility representations
publisher Universidad Torcuato Di Tella
publishDate 2017
url http://repositorio.utdt.edu/handle/utdt/1338
work_keys_str_mv AT francetichalejandro supermodularutilityrepresentations
bdutipo_str Repositorios
_version_ 1764820542928453634

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