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A semiflexible normalized quadratic inverse demand system: an application to the price formation of fish

Author

Listed:
  • Richard C. Bishop

    (Department of Agricultural and Applied Economics, University of Wisconsin, Madison, 423 Lorch Street, Taylor Hall, Madison, Wisconsin, 53706-1503, USA)

  • Matthew T. Holt

    (Departments of Agricultural and Resource Economics and Economics, North Carolina State University, Box 8110, Raleigh, NC 27695-8110, USA)

Abstract

We propose a new inverse demand system, the normalized quadratic distance function, which is similar to the normalized quadratic expenditure function of Diewert and Wales (1988a). Aside from being able to maintain concavity in quantities globally, the resulting specification is also `flexible.' In addition, to obtain more parsimonious specifications, we apply the rank reduction procedures of Diewert and Wales (1988b) to the model's Antonelli matrix. We illustrate the techniques by estimating a system of inverse demands for bi-monthly fish landings, 1971-1991, for U.S. Great Lakes ports. To illustrate the model's usefulness, exact welfare measures associated with catch restrictions are derived.

Suggested Citation

  • Richard C. Bishop & Matthew T. Holt, 2002. "A semiflexible normalized quadratic inverse demand system: an application to the price formation of fish," Empirical Economics, Springer, vol. 27(1), pages 23-47.
  • Handle: RePEc:spr:empeco:v:27:y:2002:i:1:p:23-47
    Note: received: May 1999/Final version received: November 2000
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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • Q21 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Demand and Supply; Prices

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