On the jointly continuous utility representation problem

Caterino Alessandro; Ceppitelli Rita; Hola Lubica

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On the jointly continuous utility representation problem

机译：关于联合连续效用表示问题

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摘要

Submetrizable k(omega)-spaces seem to be interesting in the study of finite dimensional State Preference Models and in ordering of distributions of wellbeing. In these applications the existence of utilities representing families of preorders is important. In the present paper we are interested in the problem of the jointly continuous utility representations for submetrizable k(omega)-spaces. We found a right and natural generalization of Back's Theorem. We improve the results in the paper A. Caterino and R. Ceppitelli (2015) [8]. (C) 2019 Elsevier B.V. All rights reserved.

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《Topology and its applications》 |2019年第1期|106919.1-106919.13|共13页
作者
Caterino Alessandro; Ceppitelli Rita; Hola Lubica;
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作者单位

Via Narcisi 41A I-06100 Perugia Italy;

Univ Perugia Dept Math & Comp Sci Via L Vanvitelli 1 I-06123 Perugia Italy;

Acad Sci Inst Math Stefanikova 49 Bratislava 81473 Slovakia;

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正文语种 eng
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关键词
Jointly continuous utility functions; Closed preorders; Back's Theorem; Submetrizable k(omega)-spaces; Boundedly compact metric; Fell topology;

机译：共同连续的效用函数;封闭式预订;背定理;可计量的k（ω）空间;紧密紧凑的指标;下降拓扑;

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1. Topological conditions for the representation of preorders by continuous utilities [J] . E. Minguzzi Applied General Topology . 2017,第1期

机译：连续公用事业代表预购的拓扑条件
2. On continuous multi-utility representations of semi-closed and closed preorders [J] . Bosi Gianni, Herden Gerhard Mathematical Social Sciences . 2016,第Null期

机译：关于半封闭和封闭预购的连续多用途表示
3. Topological conditions for the representation of preorders by continuous utilities [J] . E. Minguzzi Applied General Topology . 2012,第1期

机译：连续公用事业代表预购的拓扑条件
4. ON THE JOINTLY CONTINUOUS MULTI-UTILITY REPRESENTATION PROBLEM [C] . CATERINO Alessandro, CEPPITELLI Rita, HOLA Lubica Conference on Applied Mathematics . 2020

机译：在联合连续的多用途代表问题上
5. A COMPARATIVE STUDY OF THE EMPIRICAL IMPACT OF THE JOINT ESTIMATION APPROACH AND THE ALTERNATIVE SELECTION APPROACH FOR APPLICATION TO ECONOMETRIC MODELS WITH A PURE AUTOCORRELATION STRUCTURE: THE CASE OF THE GENERAL FECHNER-THURSTONE DIRECT UTILITY FUNCTION (MICROECONOMICS, ECONOMETRICS, MARGINAL UTILITY, COST LIVING INDEX, ECONOMIC POLICY). [D] . LIEU, PANG-TIEN. 1985

机译：具有纯自相关结构的经济模型的联合估计方法和替代选择方法的实证影响的比较研究：通用费舍尔－瑟尔斯顿直接实用性函数（微观经济学，经济学，经济学，经济学，经济学，经济学，经济学，经济学和经济学），经济政策）。
6. Continuous Similarity Learning with Shared Neural Semantic Representation for Joint Event Detection and Evolution [O] . Pengpeng Zhou, Yao Luo, Nianwen Ning, 2020

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7. Joint pseudo-utility representations [O] . Wieczorek Andrzej 1992

机译：联合伪效用表示

On the jointly continuous utility representation problem

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