Utility Representations of Preferences on General Choice Spaces  

作　　者：武康平 

机构地区：[1]Institute of Quantitative Economics, North China University of Technology

出　　处：《Chinese Quarterly Journal of Mathematics》1992年第4期35-39,共5页数学季刊（英文版）

基　　金：This work is supported by the natural science foundation.

摘　　要：The purpose of this paper is to reconsider the utility representation problem of preferences,Sev-eral representation theorems are obtained on general choice spaces.Preferences having continuous utility functions are characterized by their continuities and countable satiation.It is showed that on a pairwise separable choice space,the sufficient and necessary condition for a preference to be represented by a contin-uous utility function is that the preference is continuous and countably satiable.For monotone prefer-ences,we obtain that any space has continuous utility representations.

关 键 词：PREFERENCE countable satiation MONOTONE countable boundedness pairwise separability. 

分 类 号：O224[理学—运筹学与控制论] F224.3[理学—数学]