Abstract
LeChatelier (Comptes Rendus 99:786, 1884) and LeChatelier (Ann Mines 13(2):157, 1888) proposed that the adjustment of a physical system to a disturbance in its equilibrium was smaller as constraints are added to the adjustment process. Samuelson (Econometrica 28:368–379, 1960) showed that this Principle applied to a stable multimarket equilibrium for the case that all commodities are gross substitutes. We note that the Principle also applies to the stable equilibria of markets for which commodities can also be gross complements as formulated by Morishima (Osaka Econ Pap 1:101–113, 1952). Further, the Morishima and gross substitute cases are the only cases to which the Principle can apply, based only upon the stability hypothesis and a specification of the gross substitute/complement relations among commodities. We show that the Milgrom and Shannon (Econometrica 62:157–180, 1994) single crossing conditions specified for monotone comparative statics can be configured appropriate to the Morishima case to give global conditions for the LeChatelier Principle to apply to a multimarket equilibrium.
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References
Arrow KJ, Hurwicz L (1958) The stability of the competitive equilibrium I. Econometrica 26: 522–552
Chavas J-P (2006) A global analysis of constrained behavior: the LeChatelier principle ‘in the large’. South Econ J 72(3): 627–644
Hale D, Lady G, Maybee J, Quirk J (1999) Nonparametric comparative statics and stability. Princeton University Press, Princeton
Lady G, Quirk JP (2007) The scope of the LeChatelier principle. Phys A Stat Mech Appl 381: 351–365
LeChatelier HL (1884) Comptes Rendus 99: 786
LeChatelier HL (1888) Ann Mines 13(2): 157
Maybee J (1981) Sign solvability. Computer-assisted analysis and model simplification. Academic Press, New York, pp 201–257
Metzler L (1945) Stability of multiple markets: the hicks conditions. Econometrica 13: 277–292
Milgrom P, Shannon C (1994) Monotone comparative statics. Econometrica 62: 157–180
Milgrom P, Roberts J (1996) The LeChatelier principle. Am Econ Rev 86: 173–179
Mirsky L (1955) An introduction to linear algebra. Oxford Press, New York
Morishima M (1952) On the laws of change in the price system in an economy which contains complementary commodities. Osaka Econ Pap 1: 101–113
Quirk JP (1974) A class of generalized Metzlerian matrices. In: Horwitz G, Samuelson P (eds) Trade. Stability and macroeconomics. Academic Press, New York
Samuelson P (1947) Foundations of economic analysis. Harvard University Press, Cambridge
Samuelson P (1960) An extension of the LeChatelier principle. Econometrica 28: 368–379
Silberberg E (1971) The LeChatelier principle as a corollary to a generalized envelope theorem. J Econ Theory 3: 146–155
Silberberg E (1974) A revision of comparative statics methodology in economics, or, how to do comparative statics on the Back of an envelope. J Econ Theory 7: 159–172
Suen W, Silberberg E, Tseng P (2000) The LeChatelier principle: the long and the short of it. Econ Theory 16: 471–476
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Lady, G.M., Quirk, J.P. The global LeChatelier Principle and multimarket equilibria. Rev Econ Design 14, 193–201 (2010). https://doi.org/10.1007/s10058-008-0063-6
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DOI: https://doi.org/10.1007/s10058-008-0063-6