Some problems of measure theory which are related to economic theory.

Heinz J. Skala

Stochastica (1982)

  • Volume: 6, Issue: 3, page 305-320
  • ISSN: 0210-7821

Abstract

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After a short discussion of the first application of measure theoretic tools to economics we show that it is consistent relative to the usual axioms of set theory that there exists no nonatomic probability space of power less than the continuum. This together with other results shows that Aumann's continuum-of-agents methodology provides a sound framework at least for the cooperative theory. There are, however, other problems in economics where, without further assumptions, the continuum may be the best model of large societies.

How to cite

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Skala, Heinz J.. "Some problems of measure theory which are related to economic theory.." Stochastica 6.3 (1982): 305-320. <http://eudml.org/doc/38859>.

@article{Skala1982,
abstract = {After a short discussion of the first application of measure theoretic tools to economics we show that it is consistent relative to the usual axioms of set theory that there exists no nonatomic probability space of power less than the continuum. This together with other results shows that Aumann's continuum-of-agents methodology provides a sound framework at least for the cooperative theory. There are, however, other problems in economics where, without further assumptions, the continuum may be the best model of large societies.},
author = {Skala, Heinz J.},
journal = {Stochastica},
keywords = {Espacios de probabilidad; Teoría de la medida; Aplicaciones; Economía; application of measure theory to economics; consistency; nonatomic probability space of power; continuum},
language = {eng},
number = {3},
pages = {305-320},
title = {Some problems of measure theory which are related to economic theory.},
url = {http://eudml.org/doc/38859},
volume = {6},
year = {1982},
}

TY - JOUR
AU - Skala, Heinz J.
TI - Some problems of measure theory which are related to economic theory.
JO - Stochastica
PY - 1982
VL - 6
IS - 3
SP - 305
EP - 320
AB - After a short discussion of the first application of measure theoretic tools to economics we show that it is consistent relative to the usual axioms of set theory that there exists no nonatomic probability space of power less than the continuum. This together with other results shows that Aumann's continuum-of-agents methodology provides a sound framework at least for the cooperative theory. There are, however, other problems in economics where, without further assumptions, the continuum may be the best model of large societies.
LA - eng
KW - Espacios de probabilidad; Teoría de la medida; Aplicaciones; Economía; application of measure theory to economics; consistency; nonatomic probability space of power; continuum
UR - http://eudml.org/doc/38859
ER -

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