<p>This paper extends the concept of demand manifolds, introduced by Mrázová and Neary (Am Econ Rev 107(12):3835–3874, 2017) for demand functions, to the more general case of multiple-product demand systems. A demand manifold, or Curvature-Elasticity Manifold (CEM), is a smooth curve that relates the elasticity and curvature of a demand function, serving as a sufficient statistic for many comparative statics results. I propose a formal definition of the CEM of a demand system, discuss its properties and interpretation, and derive it for several demand systems. These results provide a base for future theoretical and empirical work in applied consumer theory.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Curvature-elasticity manifolds of demand systems

  • Joshua Hilton

摘要

This paper extends the concept of demand manifolds, introduced by Mrázová and Neary (Am Econ Rev 107(12):3835–3874, 2017) for demand functions, to the more general case of multiple-product demand systems. A demand manifold, or Curvature-Elasticity Manifold (CEM), is a smooth curve that relates the elasticity and curvature of a demand function, serving as a sufficient statistic for many comparative statics results. I propose a formal definition of the CEM of a demand system, discuss its properties and interpretation, and derive it for several demand systems. These results provide a base for future theoretical and empirical work in applied consumer theory.