We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.



Titolo: Continuous utility functions through scales
Autori: 
BOSI, GIANNI
mostra contributor esterni 
Data di pubblicazione: 2008
Rivista: 
THEORY AND DECISION  
Abstract: We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.
Handle: http://hdl.handle.net/11368/1709692
Digital Object Identifier (DOI): http://dx.doi.org/10.1007/s11238-007-9025-7
Appare nelle tipologie:1.1 Articolo in Rivista

File in questo prodotto:
Non ci sono file associati a questo prodotto.
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/1709692
  • Citazioni
  • ND

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
 
 
 
©2014 University of Trieste dove siamo Privacy
Piazzale Europa,1 34127 Trieste, Italia - Tel. +39 040.558.7111 - P.IVA 00211830328 - C.F. 80013890324 - P.E.C.: ateneo@pec.units.it
 Copyright © 2020