In this paper we study the Debreu Gap Lemma and its generalizations to totally ordered sets more general than (R, less than or equal to). We explain why it is important in economics to study utility functions which may not be real-valued and we build the foundations of a theory of continuity of such generalized utility functions. (C) 2004 Published by Elsevier B.V
Utility theory of economics is a well used tool for handling preferences. However there is seldom a ...
Utility theory of economics is a well used tool for handling preferences. However there is seldom a ...
Debreu proved that there exists a continuous isotone real-valued function on any given second counta...
Debreu’s Gap Lemma is central to the proof of his fundamental result on the existence of continuous ...
In this paper, we present a new unified approach and an elementary proof of a very general theorem o...
We present here a direct elementary construction of continuous utility functions on perfectly separa...
In 1956 R. D. Luce introduced the notion of a semiorder to deal with indifference relations in the r...
In 1956 R. D. Luce introduced the notion of a semiorder to deal with indifference relations in the r...
A linear ordering (X,≺) is a Debreu chain (or has the Debreu property) if each sub-ordering (Y,≺) of...
This paper gives applications in utility theory of the fact that a second countable space can be emb...
In 1954 Debreu wrote a classic paper in which he considered the problem of representing preferences ...
A representation theorem proven by G. Debreu in 1960, although somehow neglected by the literature, ...
We introduce the notion of weak continuity relative to an interval on a topological space (X, \u3c4)...
The thesis presents some classical results concerning the Utility Theory. We present the requirement...
In this paper the continuous utility representation problem will be discussed in arbitrary concrete ...
Utility theory of economics is a well used tool for handling preferences. However there is seldom a ...
Utility theory of economics is a well used tool for handling preferences. However there is seldom a ...
Debreu proved that there exists a continuous isotone real-valued function on any given second counta...
Debreu’s Gap Lemma is central to the proof of his fundamental result on the existence of continuous ...
In this paper, we present a new unified approach and an elementary proof of a very general theorem o...
We present here a direct elementary construction of continuous utility functions on perfectly separa...
In 1956 R. D. Luce introduced the notion of a semiorder to deal with indifference relations in the r...
In 1956 R. D. Luce introduced the notion of a semiorder to deal with indifference relations in the r...
A linear ordering (X,≺) is a Debreu chain (or has the Debreu property) if each sub-ordering (Y,≺) of...
This paper gives applications in utility theory of the fact that a second countable space can be emb...
In 1954 Debreu wrote a classic paper in which he considered the problem of representing preferences ...
A representation theorem proven by G. Debreu in 1960, although somehow neglected by the literature, ...
We introduce the notion of weak continuity relative to an interval on a topological space (X, \u3c4)...
The thesis presents some classical results concerning the Utility Theory. We present the requirement...
In this paper the continuous utility representation problem will be discussed in arbitrary concrete ...
Utility theory of economics is a well used tool for handling preferences. However there is seldom a ...
Utility theory of economics is a well used tool for handling preferences. However there is seldom a ...
Debreu proved that there exists a continuous isotone real-valued function on any given second counta...
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