ON EQUILIBRIUM PRICING AS CONVEX OPTIMIZATION

被引:0
作者
Lihua Chen Guanghua School of ManagementPeking UniversityBeijing China Yinyu Ye Department of Management Science and EngineeringStanford UniversityStanfordCA USA Jiawei Zhang IOMSOperations ManagementStern School of BusinessNew York UniversityNew YorkNY USA [100871 ,94305 ,10012 ]
机构
关键词
Convex optimization; Competitive economy equilibrium; Non-homogeneous utility;
D O I
暂无
中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
<正> We study competitive economy equilibrium computation.We show that,for the firsttime,the equilibrium sets of the following two markets:1.A mixed Fisher and Arrow-Debreumarket with homogeneous and log-concave utility functions;2.The Fisher andArrow-Debreu markets with several classes of concave non-homogeneous utility functions;are convex or log-convex.Furthermore,an equilibrium can be computed as convex optimizationby an interior-point algorithm in polynomial time.
引用
收藏
页码:569 / 578
页数:10
相关论文
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A path to the Arrow–Debreu competitive market equilibrium[J] . Yinyu Ye. Mathematical Programming . 2007 (1)
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MANAGEMENT SCIENCE, 1961, 7 (04) :337-350
[3]  
Consensus of Subjective Probabilities: The Pari-Mutuel Method[J] . Edmund Eisenberg,David Gale. The Annals of Mathematical Statistics . 1959 (1)