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Semicontinuous extension of a partial order. (English) Zbl 0325.90006


MSC:

91B16 Utility theory
06A06 Partial orders, general
Full Text: DOI

References:

[1] Bourbaki, S., Théorie des ensembles (1970), Hermann: Hermann Paris · Zbl 0282.04001
[2] Debreu, G., Representation of a preference ordering by a numerical function, (Thrall; etal., Decision processes (1954), Wiley: Wiley New York), 159-165 · Zbl 0058.13803
[3] Debreu, G., Continuity properties of paretian utility, International Economic Review, 5, 285-293 (1964) · Zbl 0138.16301
[4] Fishburn, P. C., Utility theory for decision making (1970), Wiley: Wiley New York · Zbl 0213.46202
[5] Hurwicz, L.; Richter, M. K., Revealed preference without demand continuity assumptions, (Chipman, J. S.; etal., Preferences utility and demand (1971), Harcourt Brace Jovanonich: Harcourt Brace Jovanonich New York) · Zbl 0294.90006
[6] Peleg, B., Utility functions for partially ordered topological spaces, Econometrica, 1, 93-95 (1970) · Zbl 0195.31501
[7] Rader, J. T., The existence of a utility function to represent preferences, Review of Economic Studies, 30, 229-232 (1963)
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