Abstract
We derive an equilibrium distribution for a population of decision makers, such as consumers or voters, in which each member makes choices not known with certainty. It is shown that, when the shares held by available choice alternatives are known, the MaxEnt distribution of the ensemble belongs to the product- form family.
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References
R. Balescu. Equilibrium and Nonequilibrium Statistical Mechanics. John Wiley & Sons, New York, 1975.
L. Boltzmann. Lectures on Gas Theory. 1896, 1898. A recent reprint: Berkeley, 1964.
A.E. Conway and N.D. Georganas. Queueing Networks — Exact Computational Algorithms: A Unified Theory Based on Decomposition and Aggregation. Computer Systems Series, The MIT Press, Cambridge: Mass, 1989.
P.S. Faynzilberg. Normalization and Generation of Product-form Distributions. Working Paper 1994-10, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, Pennsylvania, March 1994.
P.S. Faynzilberg. Statistical Mechanics of Choice: MaxEnt Estimation of Population Heterogeneity. Working Paper 1995-06, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, Pennsylvania, (forthcoming).
R.P. Feynman. Statistical Mechanics: A Set of Lectures. W.A. Benjamin, Inc., Reading: Mass., 1972.
P.C. Fishburn. Utility Theory for Decision Making. John Wiley & Sons, New York, 1970.
J.W. Gibbs. Elementary Principles in Statistical Mechanics. Yale University Press, New Haven, 1902.
P.G. Harrison. On normalizing constants in queueing networks. Operations Research, 33:464–8, 1985.
E.T. Jaynes. Information theory and statistical mechanics. Physical Review, 106(4): 620–30; 108(2):171-90, 1957.
E.T. Jaynes. Papers on Probability, Statistics, and Statistical Physics. Synthese Library, D. Reidel Publishing Company, Dordrecht:Holland, 1983.
P. Kotier. Marketing Management: Analysis, Planning, and Control. Prentice-Hall, Engle-wood Cliffs, NJ, fifth edition, 1994.
D.M. Kreps. A Course in Microeconomic Theory. Princeton University Press, Princeton, NJ., 1990.
L. D. Landau and E. M. Lifshitz. Statistical Physics. Volume 5 of Course of Theoretical Physics, Pergamon Press, Oxford, 3rd edition, 1980.
E. Malinvaud. Lectures on Microeconomic Theory. Volume 2 of Advanced Textbooks in Economics, North-Holland, Amsterdam, 1985.
R.P. Stanley. Enumerative Combinatorics. Wadsworth & Brooks, Monterey, California, 1986.
H.R. Varian. Microeconomic Analysis. W. W. Norton & Company, Inc., New York, second edition, 1984.
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© 1996 Springer Science+Business Media Dordrecht
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Faynzilberg, P.S. (1996). Statistical Mechanics of Choice. In: Hanson, K.M., Silver, R.N. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5430-7_40
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DOI: https://doi.org/10.1007/978-94-011-5430-7_40
Publisher Name: Springer, Dordrecht
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