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Endogenizing The Reservation Value In Models Of Land Development Over Time And Under Uncertainty

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  • Batabyal, Amitrajeet A.

Abstract

The notion of a reservation value is a key feature of most contemporary dynamic and stochastic models of land development. It is clear that the magnitude of the reservation value has a fundamental bearing on the decision to develop or preserve land. This notwithstanding, many papers that analyze land development in a dynamic and stochastic setting treat a landowners reservation value as an exogenous variable. Therefore, the purpose of this paper is to endogenize the reservation value in the context of a model of land development over time and under uncertainty. Our analysis shows that the optimal reservation value is the solution to a specific maximization problem. In addition, we also show that there exist theoretical circumstances in which the optimal reservation value is unique.

Suggested Citation

  • Batabyal, Amitrajeet A., 2004. "Endogenizing The Reservation Value In Models Of Land Development Over Time And Under Uncertainty," Economics Research Institute, ERI Series 28340, Utah State University, Economics Department.
  • Handle: RePEc:ags:usuese:28340
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    References listed on IDEAS

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    1. Tavernier, Edmund M. & Li, Farong & Temel, Tugrul T., 1996. "Search Theory Risk Preference And Farmland Preservation," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 25(1), April.
    2. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    3. Tavernier, Edmund M. & Li, Farong, 1995. "Effectiveness of Use-value Assessment in Preserving Farmland: A Search-theoretic Approach," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 27(02), pages 626-635, December.
    4. Arrow, Kenneth J. & Chang, Sheldon, 1982. "Optimal pricing, use, and exploration of uncertain natural resource stocks," Journal of Environmental Economics and Management, Elsevier, vol. 9(1), pages 1-10, March.
    5. Markusen, James R. & Scheffman, David T., 1978. "The timing of residential land development: A general equilibrium approach," Journal of Urban Economics, Elsevier, vol. 5(4), pages 411-424, October.
    6. Tavernier, Edmund M. & Li, Farong, 1995. "Effectiveness Of Use-Value Assessment In Preserving Farmland: A Search-Theoretic Approach," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 27(02), December.
    7. Arnott, Richard J & Lewis, Frank D, 1979. "The Transition of Land to Urban Use," Journal of Political Economy, University of Chicago Press, vol. 87(1), pages 161-169, February.
    8. Capozza, Dennis R. & Helsley, Robert W., 1990. "The stochastic city," Journal of Urban Economics, Elsevier, vol. 28(2), pages 187-203, September.
    9. R. Glenn Hubbard, 1994. "Investment under Uncertainty: Keeping One's Options Open," Journal of Economic Literature, American Economic Association, vol. 32(4), pages 1816-1831, December.
    10. Capozza, Dennis R. & Helsley, Robert W., 1989. "The fundamentals of land prices and urban growth," Journal of Urban Economics, Elsevier, vol. 26(3), pages 295-306, November.
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    Keywords

    Land Economics/Use;

    JEL classification:

    • R19 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Other
    • Q24 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Land
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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