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"Budget-constrained Search''

  • Richard Manning
  • Julian Manning

A consumer with diminishing marginal utility in consumption, who can search for lower prices, will balance the gains from spreading consumption evenly through time against the benefits of delaying consumption until lower prices are revealed. Optimal programs of consumption, savings and price are characterized for a general formulation of this problem. Intertemporal substitutability is measured by relative-risk aversion. Small relative-risk aversion is sufficient for the intuitive solution: As the best current price rises, more search and less consumption is done. The general model is adapted to special cases. Among other things, this shows that linear utility and sequential search implies calculable reservation prices and consumption only when search stops. However, this characterization is a consequence of the restriction to linear utility. Outside of this context reservation prices and consumption may not be calculable.

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Paper provided by University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences in its series CARESS Working Papres with number 95-09.

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Handle: RePEc:wop:pennca:95-09
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  1. Morgan, Peter B, 1983. "Search and Optimal Sample Sizes," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 659-75, October.
  2. George J. Stigler, 1961. "The Economics of Information," Journal of Political Economy, University of Chicago Press, vol. 69, pages 213.
  3. Benhabib, Jess & Bull, Clive, 1981. "Job Search: The Choice of Intensity," Working Papers 81-28, C.V. Starr Center for Applied Economics, New York University.
  4. Manning, R & Morgan, Peter B, 1982. "Search and Consumer Theory," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 203-16, April.
  5. Carlson, John A & McAfee, R Preston, 1983. "Discrete Equilibrium Price Dispersion," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 480-93, June.
  6. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
  7. Morgan, Peter & Manning, Richard, 1985. "Optimal Search," Econometrica, Econometric Society, vol. 53(4), pages 923-44, July.
  8. McCall, John J, 1970. "Economics of Information and Job Search," The Quarterly Journal of Economics, MIT Press, vol. 84(1), pages 113-26, February.
  9. Veendorp, E. C. H., 1984. "Sequential search without reservation price," Economics Letters, Elsevier, vol. 16(1-2), pages 53-57.
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