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A note on small income effects

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  • Hayashi, Takashi

Abstract

This note provides an alternative sufficient condition for the small income effect result that is first shown by Vives [Small income effects: a Marshallian theory of consumer surplus and downward sloping demand, Rev. Econ. Stud. 54(1) (1987) 87-103]. The condition is stated by ordinal terms only, whereas Vives assumes cardinal properties of utility representation. Second, as its application, we provide a sufficient condition for the preference being asymptotically quasi-linear, in a two good economy where the second good is a composition of a large number of goods.

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  • Hayashi, Takashi, 2008. "A note on small income effects," Journal of Economic Theory, Elsevier, vol. 139(1), pages 360-379, March.
    • Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:360-379
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, January.
    2. N. Georgescu-Roegen, 1936. "The Pure Theory of Consumers Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 50(4), pages 545-593.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, Decembrie.
    4. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
    5. Miyake, Mitsunobu, 2006. "On the applicability of Marshallian partial-equilibrium analysis," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 176-196, September.
    6. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
    7. Xavier Vives, 1987. "Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demand," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 87-103.
    8. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-615, July.
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    Cited by:

    1. Tomoya KAZUMURA, 2020. "When can we design efficient and strategy-proof rules in package assignment problems?," Discussion papers e-21-008, Graduate School of Economics , Kyoto University.
    2. Hayashi, Takashi, 2013. "Smallness of a commodity and partial equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 148(1), pages 279-305.
    3. Deirdre Haskell & Jeremiah Hurley & Junying Zhao, 2023. "The Possibility of Anonymous Social Orderings Using Curvature of Indifference Hypersurfaces," Department of Economics Working Papers 2023-06, McMaster University.
    4. Hayashi, Takashi, 2014. "Consumer surplus analysis under uncertainty: A general equilibrium perspective," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 154-164.

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