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

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Author Info
Amit Batabyal ()
Basudeb Biswas ()

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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. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  3. Capozza, Dennis R. & Helsley, Robert W., 1990. "The stochastic city," Journal of Urban Economics, Elsevier, vol. 28(2), pages 187-203, September. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. 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 161-69, February. [Downloadable!] (restricted)
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  6. Pindyck, Robert S., 1990. "Irreversibility, uncertainty, and investment," Working papers 3137-90., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
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  7. 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. [Downloadable!] (restricted)
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