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

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  • Amit 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.

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Paper provided by European Regional Science Association in its series ERSA conference papers with number ersa05p163.

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Date of creation: Aug 2005
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Handle: RePEc:wiw:wiwrsa:ersa05p163

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  1. Richard Arnott & Frank D. Lewis, 1977. "The Transition of Land to Urban Use," Working Papers, Queen's University, Department of Economics 267, Queen's University, Department of Economics.
  2. 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.
  3. 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.
  4. R. Glenn Hubbard, 1994. "Investment under Uncertainty: Keeping One's Options Open," Journal of Economic Literature, American Economic Association, American Economic Association, vol. 32(4), pages 1816-1831, December.
  5. 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, Northeastern Agricultural and Resource Economics Association, vol. 25(1), April.
  6. Robert S. Pindyck, 1990. "Irreversibility, Uncertainty, and Investment," NBER Working Papers 3307, National Bureau of Economic Research, Inc.
  7. 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, Southern Agricultural Economics Association, vol. 27(02), December.
  8. 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.
  9. Capozza, Dennis R. & Helsley, Robert W., 1990. "The stochastic city," Journal of Urban Economics, Elsevier, vol. 28(2), pages 187-203, September.
  10. Manishi Prasad & Peter Wahlqvist & Rich Shikiar & Ya-Chen Tina Shih, 2004. "A," PharmacoEconomics, Springer Healthcare | Adis, Springer Healthcare | Adis, vol. 22(4), pages 225-244.
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