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  • 标题:Generalized marginal rate of substitution in multiconstraint consumer’s problems and their reciprocal expenditure problems
  • 本地全文:下载
  • 作者:Manuel Besada ; Javier García ; Miguel Mirás
  • 期刊名称:SERIEs: Journal of the Spanish Economic Association
  • 印刷版ISSN:1869-4187
  • 电子版ISSN:1869-4195
  • 出版年度:2011
  • 卷号:2
  • 期号:3
  • 页码:401-421
  • DOI:10.1007/s13209-011-0037-8
  • 出版社:Springer Berlin / Heidelberg
  • 摘要:The aim of this paper is to explore several features concerning the generalized marginal rate of substitution (GMRS) when the consumers utility maximization problem with several constraints is formulated as a quasi-concave programming problem. We show that a point satisfying the first order sufficient conditions for the consumer’s problem minimizes the associated quasi-convex reciprocal cost minimization problems. We define the GMRS between endowments and show how it can be computed using the reciprocal expenditure multipliers. Additionally, GMRS is proved to be a rate of change between different proportion bundles of initial endowments. Finally, conditions are provided to guarantee a decreasing GMRS along a curve of initial endowments while keeping the consumer’s utility level constant.
  • 关键词:Quasi-concave programming; Indirect utility function; Marginal rates of substitution; Multiple constraint optimization problems
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