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Land and building separation based on Shapley values

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  • Ünsal Özdilek

    (University of Quebec)

Abstract

The total value apportionment between land and building components remains an international issue both in theory and in practice. There are several concepts and methods of value separation, each leading to approximate estimations and therefore to divergent opinions about their reliability. In this paper, we present an alternative method of value apportionment based on Shapley’s scheme of values, well recognized in the coalitional game theory. The practicality of this method is verified using observed prices of 14,715 residential properties sold during the year 2019 over all the 27 districts in Montreal (Canada). This unique data comes with detailed information about the essential attributes of the land and the building components. The empirical results of the method presented in this work are in line with practical expectations of total and separate values, either taken case-by-case or in aggregation per district. They are indeed encouraging when compared to the results of two other independent methods (i.e., the city evaluations and the OLS predictions) for the same properties. The results are interesting not only regarding the separation of value but also in several other related aspects. For instance, land values are often close to or even higher than the building values. This shows a phenomenon of building depreciation and land value appreciation. Some districts seem to favor the quality of the building, others being influenced by the location and quality of the land. Interestingly, in contrast to what is believed in practice, a good quality parcel of land does not necessarily have a good quality building according to the results.

Suggested Citation

  • Ünsal Özdilek, 2020. "Land and building separation based on Shapley values," Palgrave Communications, Palgrave Macmillan, vol. 6(1), pages 1-13, December.
    • Handle: RePEc:pal:palcom:v:6:y:2020:i:1:d:10.1057_s41599-020-0444-1
    DOI: 10.1057/s41599-020-0444-1
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    1. Dye, Richard F. & McMillen, Daniel P., 2007. "Teardowns and land values in the Chicago metropolitan area," Journal of Urban Economics, Elsevier, vol. 61(1), pages 45-63, January.
    2. Greyserman, Alex & Jones, Douglas H. & Strawderman, William E., 2006. "Portfolio selection using hierarchical Bayesian analysis and MCMC methods," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 669-678, February.
    3. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2008. "Models in Cooperative Game Theory," Springer Books, Springer, edition 0, number 978-3-540-77954-4, June.
    4. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    5. Abdullah Yavas & C. Sirmans, 2005. "Real Options: Experimental Evidence," The Journal of Real Estate Finance and Economics, Springer, vol. 31(1), pages 27-52, August.
    6. Elliot Anenberg, 2016. "Information Frictions And Housing Market Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 1449-1479, November.
    7. Bourassa, Steven C. & Hoesli, Martin & Scognamiglio, Donato & Zhang, Sumei, 2011. "Land leverage and house prices," Regional Science and Urban Economics, Elsevier, vol. 41(2), pages 134-144, March.
    8. David Genesove & Christopher Mayer, 2001. "Loss Aversion and Seller Behavior: Evidence from the Housing Market," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1233-1260.
    9. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    10. Davis, Morris A. & Palumbo, Michael G., 2008. "The price of residential land in large US cities," Journal of Urban Economics, Elsevier, vol. 63(1), pages 352-384, January.
    11. Winter, Eyal, 2002. "The shapley value," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 53, pages 2025-2054, Elsevier.
    12. Donald R. Epley, 1997. "A Note on the Optimal Selection and Weighting of Comparable Properties," Journal of Real Estate Research, American Real Estate Society, vol. 14(2), pages 175-182.
    13. Carlo Bagnoli & Halbert C. Smith, 1998. "The Theory of Fuzzy Logic and its Application to Real Estate Valuation," Journal of Real Estate Research, American Real Estate Society, vol. 16(2), pages 169-200.
    14. Clapp, John M. & Salavei, Katsiaryna, 2010. "Hedonic pricing with redevelopment options: A new approach to estimating depreciation effects," Journal of Urban Economics, Elsevier, vol. 67(3), pages 362-377, May.
    15. Quigg, Laura, 1993. "Empirical Testing of Real Option-Pricing Models," Journal of Finance, American Finance Association, vol. 48(2), pages 621-640, June.
    16. David Wyman & Maury Seldin & Elaine Worzala, 2011. "A new paradigm for real estate valuation?," Journal of Property Investment & Finance, Emerald Group Publishing Limited, vol. 29(4/5), pages 341-358, July.
    17. Basu, Sabyasachi & Thibodeau, Thomas G, 1998. "Analysis of Spatial Autocorrelation in House Prices," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 61-85, July.
    18. Kerry D. Vandell, 1991. "Optimal Comparable Selection and Weighting in Real Property Valuation," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 19(2), pages 213-239, June.
    19. Michel Grabisch & Éric Raufaste, 2008. "An empirical study of statistical properties of Choquet and Sugeno integrals," Post-Print halshs-00445168, HAL.
    20. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
    21. Cheng-Cheng Hu & Yi-You Yang, 2010. "An axiomatic characterization of a value for games in partition function form," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 1(4), pages 475-487, September.
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