Injectivity and the Law of Demand

Establishing that a demand mapping is injective is core first step for a variety of methodologies. When a version of the law of demand holds, global injectivity can be checked by seeing whether the demand mapping is constant over any line segments. When we add the assumption of differentiability, we obtain necessary and sufficient conditions for injectivity that generalize classical \cite{gale1965jacobian} conditions for quasi-definite Jacobians.

• Publication year

  2019

• Venue

  Social Science Research Network

• Publication date

  2019-08-15

• Fields of study

  Mathematics, Economics

• Identifiers
  DOI 10.2139/ssrn.3437946arXiv 1908.05714
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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