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Endogenizing the Reservation Value in Models of Land Development Over Time and Under Uncertainty

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  • Amitrajeet Batabyal
  • Basudeb Biswas

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 landowner’s 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

  • Amitrajeet Batabyal & Basudeb Biswas, 2004. "Endogenizing the Reservation Value in Models of Land Development Over Time and Under Uncertainty," Working Papers 2004-18, Utah State University, Department of Economics.
    • Handle: RePEc:usu:wpaper:2004-18
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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, Cambridge University Press, vol. 25(1), pages 38-45, April.
    2. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    3. 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.
    4. Charles H. Barnard & Walter R. Butcher, 1989. "Landowner Characteristics: A Basis for Locational Decisions in the Urban Fringe," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(3), pages 679-684.
    5. 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(2), pages 1-10, December.
    6. Capozza, Dennis R. & Helsley, Robert W., 1990. "The stochastic city," Journal of Urban Economics, Elsevier, vol. 28(2), pages 187-203, September.
    7. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    8. 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(2), pages 626-635, December.
    9. 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.
    10. 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.
    11. 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.
    12. 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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    More about this item

    Keywords

    dynamics; endogenous reservation value; land development; uncertainty;
    All these keywords.

    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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