Mirror utility functions and reflexion properties of various classes of goods
Any 2-good direct utility function satisfying standard axioms may be transformed into an indirect utility function, also satisfying standard axioms, by a straightforward change of sign. The reverse is also true. We shall refer to one such function as the `mirror' of the other. It is sometimes the case that the demand function for one of the goods, arising from one utility function, exhibits a particular feature if and only if the mirror utility function exhibits the same feature for the other good. When this occurs, we say that the demand feature in question has the `reflexion property'. It is shown that Giffen behaviour and the necessity/luxury dichotomy are two features of demand that do have this reflexion property. However, it is also shown that the normality/inferiority dichotomy is one feature that does not.
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- John K.-H. Quah, 2000.
"The Monotonicity of Individual and Market Demand,"
Econometric Society, vol. 68(4), pages 911-930, July.
- Quah, J-K-H, 1996. "The Monotonicity of Individual and Market Demand," Economics Papers 127, Economics Group, Nuffield College, University of Oxford.
- Kohli, Ulrich, 1985. "Inverse demand and anti-giffen goods," European Economic Review, Elsevier, vol. 27(3), pages 397-404.
- Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985.
- John K.H. Quah, 2003. "The Law of Demand and Risk Aversion," Econometrica, Econometric Society, vol. 71(2), pages 713-721, March.
- John Quah, 2002. "The Law of Demand and Risk Aversion," Economics Papers 2002-W3, Economics Group, Nuffield College, University of Oxford.
- Moffatt, Peter G., 2002. "Is Giffen behaviour compatible with the axioms of consumer theory?," Journal of Mathematical Economics, Elsevier, vol. 37(4), pages 259-267, July.
- Christian E. Weber, 1997. "The Case of a Giffen Good: Comment," The Journal of Economic Education, Taylor & Francis Journals, vol. 28(1), pages 36-44, March.
- Junko Doi & Kazumichi Iwasa & Koji Shimomura, 2009. "Giffen behavior independent of the wealth level," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 247-267, November.
- Weber, Christian E, 2001. "A Production Function with an Inferior Input: Comment," Manchester School, University of Manchester, vol. 69(6), pages 616-622, December. Full references (including those not matched with items on IDEAS)
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