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  • 标题:Mathematical Economics: A Reader
  • 本地全文:下载
  • 作者:Birendra K.Rai ; Chiu Ki So ; Aaron Nicholas
  • 期刊名称:Discussion Paper Series / Department of Economics, Monash University
  • 出版年度:2011
  • 卷号:1
  • 出版社:Monash University
  • 摘要:This paper is modeled as a hypothetical first lecture in a graduate Microeconomics or Mathematical Economics Course. We start with a detailed scrutiny of the notion of a utility function to motivate and describe the common patterns across Mathematical concepts and results that are used by economists. In the process we arrive at a classification of mathematical terms which is used to state mathematical results in economics. The usefulness of the classification scheme is illustrated with the help of a discussion of fixed-point theorems and Arrow's impossibility theorem. Several appendices provide a step-wise description of some mathematical concepts often used by economists and a few useful results in microeconomics
  • 关键词:Mathematics; Set theory; Utility function; Arrow's impossibility ;theorem
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