Magyarkuti, Gyula (2008): Szeparábilitási koncepciók és a reprezentációs tétel Nachbin-féle megközelítése. Published in: 60 éves a KÖZGÁZ jubileumi konferencia kötet (December 2008)
Preview |
PDF
MPRA_paper_20171.pdf Download (188kB) | Preview |
Abstract
Primarily following Bridges-Mehta (1995) and Herden-Pallack (2002), this paper is a discussion of the equivalent re-formalizations of the utility representation problem. Our contribution to this widely discussed theory of economic literature is that we consider the representation theorem as a consequence of the Urishon's lemma. Note that Debreu's celebrated Gap-lemma is not used here. It is substituted by one of the most standardized tools of the topology of early 20th century; the Nachbin's version of the Urishon's-lemma.
Item Type: | MPRA Paper |
---|---|
Original Title: | Szeparábilitási koncepciók és a reprezentációs tétel Nachbin-féle megközelítése |
English Title: | Urishon-Nachbin approach to utility representation theorem |
Language: | Hungarian |
Keywords: | Utility representation, Urishon's lemma, Nachbin's lemma |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General |
Item ID: | 20171 |
Depositing User: | Gyula Magyarkuti |
Date Deposited: | 22 Jan 2010 09:18 |
Last Modified: | 21 Oct 2019 13:57 |
References: | D.S. Bridges and G.B. Mehta. (1995) Representation of Preference Orderings, Springer, Berlin. Gerhard Herden. (1995) On some equivalent approaches of mathematical utility theory. Mathematical Social Sciences, 29:19-31. Gerhard Herden and Andreas Pallack. (2002) On the continuous analogue of the Szpilrajn Theorem I. Journal of Mathematical Social Sciences, 43:115-134. Gyula Magyarkuti. (2001) A racionalitás fogalmának axiómatikus megközelítése. Ph.D. értekezés, BKE, Budapest. D.S. Bridges and G.B. Mehta. (1995) Representation of Preference Orderings. Springer, Berlin. Gerhard Herden. (1995) On some equivalent approaches of mathematical utility theory. Mathematical Social Sciences, 29:19-31. Leopoldo Nachbin. Topology and Order (1965) D. Van Nostrand Company, Princeton, New Yersey, Toronto, New York, London. Horst Shubert. (1986) Topológia. Műszaki Könyvkiadó, Budapest. Hugo Sonnenschein. (1965) The relationship between transitive preference and the structure of the choice space. Econometrica, 33:624-634. P Uryshon. (1925) Über die Mächtigkeit der usammenhängenden Mengen. Annalen, 94:262-295. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/20171 |