Abstract
The shift from rationalistic to behavioral accounts of human action in geography has entailed a radical change in our accounts of spatial choice. It is now a commonplace that in many non-prescriptive contexts a probabilistic and psychologically-based epistemology of choice is preferable to the deterministic account provided by classic consumer theory. This transition has not been accompanied by explicit methodological discussion of the profoundly different mathematical structures underlying algebraic and probabilistic choice. The contrast has been explicitly dealt with in the literatures of economics and psychology2 as well as geographically-oriented discussions.3 One context in which the implications of probabilistic choice urgently require clarification is revealed preference analysis of destination choice in shopping travel. Central place theory and market area analysis provide our most elaborate theoretical models of this behavior. Both espouse an algebraic account of individual choice. Both at least in their classic ‘un-map-transformed’ versions compare unfavorably in descriptive ability with the Huff model4 which is simple and atheoretical, but probabilistic. Presumably, progress in the study of probabilistic individual choice will lead to theoretically explicit structures which at least equal the Huff model in descriptive power.
he support of the Natural Science Foundation (Grant SOC76-15525) is gratefully acknowledged.
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Notes
H. D. Block and J. Marschak, ‘Random Ordering and Stochastic Theories of Response’, in I. Olkin et al. (eds.), Contributions to Probability and Statistics, pp. 97–132; G. M. Becker, M. H. DeGroot and J. Marschak, ‘Stochastic Models of Choice Behavior’, in Behavioral Science 8 (1963), 41–55; N. Georgescu-Roegen, ‘Threshold in Choice and the Theory of Demand’, in Econometrica 26 (1958), 157–68; R. D. Luce and P. Suppes, ‘Preference Utility and Subjective Probability’, in R. D. Luce, R. R. Bush, and E. Galanter (eds.), Handbook of Mathematical Psychology 3, Wiley, N.Y., 1965.
T. A. Domencich and D. McFadden, Urban Travel Demand: A Behavioral Analysis, North-Holland, New York, 1975; J. S. Pipkin, Two Probabilistic Revealed Preference Models of the Choice Process in Recurrent Urban Travel (unpublished Ph.D. dissertation), Evanston, 1974.
D. Huff, ‘A Probabilistic Analysis of Shopping Center Trade Areas’, in Land Economics (1963), 81–96.
J. S. Pipkin, ‘Theoretical versus Planning Solutions of Optimal Store Location with Probabilistic Models of Buying Behavior’, paper given at Northeastern Regional Science Association Meetings, Ithaca, 1976.
For example, J. Wolpert, ‘Behavioral Aspects of the Decision to Migrate’, in Papers and Proceedings of the Regional Science Association 15 (1965), 159–69; F. Horton and D. R. Reynolds, ‘Effects of Urban Spatial Structure on Individual Behavior’, in Economic Geography 47 (1971), 36–48.
B. F. Skinner, Science and Human Behavior, Macmillan, New York, 1953.
G. H. Bower and T. Trabasso, ‘Concept Identification’, in R. C. Atkinson (ed.), Studies in Mathematical Psychology, Stanford University Press, 1964.
G. A. Miller, E. Galanter, and K. H. Pribram, Plans and the Structure of Behavior, Holt, New York, 1960.
L. L. Thurstone, ‘A Law of Comparative Judgement’, in Psychological Review 34 (1927), 273–286; L. L. Thurstone, ‘The Prediction of Choice’, in Psychometrika 10 (1945), 469–93.
K. D. Bock and L. V. Jones, The Measurement and Prediction of Judgment and Choice, Holden-Day, San Francisco, 1968.
For example, D. Laming, Mathematical Psychology, Academic Press, New York, 1973.
R. E. Quandt, ‘A Probabilistic Theory of Consumer Behavior’, in Quarterly Journal of Economics 70 (1956), 507–36.
R. D. Luce, Individual Choice Behavior, John Wiley, New York, 1959.
For example Charles Rivers Associates, A Disaggregated Behavioral Model of Urban Travel Demand: Final Report, Washington, D.C., 1972.
For example D. Brand, ‘Travel Demand Forecasting’, in Background Papers for the Conference on Travel Demand Forecasting, Williamsburg, Virginia, 1972.
T. F. Golob and M. J. Beckmann, ‘A Utility Model for Travel Forecasting’, in Transportation Science 3 (1971), 79–90.
W. F. Massey, D. B. Montgomery and D. G. Morrison, Stochastic Models of Buying Behavior, MIT Press, Cambridge, 1970.
K. P. Burnett, ‘A Bernoulli Model of Destination Choice’, manuscript, Department of Geography, Northwestern University, Evanston, 1973.
N. L. Johnson and S. Kotz, Distribution and Statistics: Continuous Univariate Distributions 2, Houghton-Mifflin, New York, 1970, p. 38.
J. S. Coleman, Models of Change and Response Uncertainty, Englewood Cliffs, 1964 p. 2.
K. P. Burnett, ‘An Application of Stochastic Brand Choice Models to Store Choice Problems’, manuscript, Department of Geography, Northwestern University, Evanston, 1972, p. 7.
R. G. Golledge, ‘Some Equilibrium Models of Consumer Behavior’, in Economic Geography 46 (1970), 417–24.
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© 1979 D. Reidel Publishing Company, Dordrecht, Holland
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Pipkin, J.S. (1979). Problems in the Psychological Modelling of Revealed Destination Choice. In: Gale, S., Olsson, G. (eds) Philosophy in Geography. Theory and Decision Library, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9394-5_14
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DOI: https://doi.org/10.1007/978-94-009-9394-5_14
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