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Estimation of Bid Functions for Location Choice and Price Modeling with a Latent Variable Approach

Abstract

A new approach for the estimation of bid-rent functions for residential location choice is proposed. The method is based on the bid-auction approach and considers that the expected maximum bid of the auction is a latent variable that can be related to observed price indicators through a measurement equation. The method has the advantage of allowing for the estimation of the parameters of the bid function that explain the heterogeneous preferences of households for location while simultaneously adjusting the expected maximum bid to reproduce realistic values. The model is applied and validated for a case study on the city of Brussels. Results show that the proposed model outperforms other methods for bid-rent estimation, both in terms of real estate prices and spatial distribution of agents, especially when detailed data describing the real estate goods and their prices is not available.

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References

  • Alonso W (1964) Location and land use. Harvard University Press, Cambridge

    Book  Google Scholar 

  • Anas A (1982) Residential location markets and urban transportation: economic theory, econometrics, and policy analysis with discrete choice models. Academic Press, London

    Google Scholar 

  • Bayer P, Ferreira F, McMillan R (2007) A unified framework for measuring preferences for schools and neighborhoods. J Polit Econ 115(4):588–638

    Article  Google Scholar 

  • Bayer P, Timmins C (2005) On the equilibrium properties of locational sorting models. J Urban Econ 57(3):462–477

    Article  Google Scholar 

  • Ben-Akiva ME, Lerman SR (1985) Discrete choice analysis: theory and application to travel demand. MIT Press, Cambridge

    Google Scholar 

  • Bhat CR, Guo JY (2007) A comprehensive analysis of built environment characteristics on household residential choice and auto ownership levels. Transp Res B Methodol 41(5):506–526

    Article  Google Scholar 

  • Bierlaire M (2003) Biogeme: a free package for the estimation of discrete choice models. In: Proceedings of the Swiss transport research conference. Ascona, Switzerland

  • Bierlaire M, Fetiarison M (2009) Estimation of discrete choice models: extending biogeme. In: Proceedings of the 9th swiss transport research conference. Ascona, Switzerland

  • Chattopadhyay S (1998) An empirical investigation into the performance of Ellickson’s random bidding model, with an application to air quality valuation. J Urban Econ 43(2):292–314

    Article  Google Scholar 

  • Clark WAV, Deurloo MC, Dieleman FM (1997) Entry to home-ownership in Germany: some comparisons with the United States. Urban Stud 34(1):7–19

    Article  Google Scholar 

  • Clark WAV, Deurloo MC, Dieleman FM (2006) Residential mobility and neighborhood outcomes. Hous Stud 21(3):323–342

    Article  Google Scholar 

  • Clark WAV, Onaka JL (1983) Life cycle and housing adjustment as explanations of residential mobility. Urban Stud 20:47–57

    Article  Google Scholar 

  • Cropper ML, Deck LB, McConnell KE (1988) On the choice of funtional form for hedonic price functions. Rev Econ Stat 70(4):668–675

    Article  Google Scholar 

  • DiPasquale D, Wheaton W (1996) Urban economics and real-estate markets. Prentice Hall, Englewood Cliffs, New Jersey

  • Dubin JA, McFadden DL (1984) An econometric analysis of residential electric appliance holdings and consumption. Econometrica 52(2):345–362

    Article  Google Scholar 

  • Ellickson B (1981) An alternative test of the hedonic theory of housing markets. J Urban Econ 9(1):56–79

    Article  Google Scholar 

  • Epple D (1987) Hedonic prices and implicit markets: estimating demand and supply functions for differentiated products. J Polit Econ 95(1):59–80

    Article  Google Scholar 

  • Fujita M (1989) Urban economic theory: land use and city size. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Fujita M, Krugman P, Venables A (1999) The spatial economy: cities, regions and international trade. MIT Press, Cambridge

    Google Scholar 

  • Gabriel S, Rosenthal S (1989) Household location and race: estimates of a multinomial logit model. Rev Econ Stat 71(2):240–249

    Article  Google Scholar 

  • Gin A, Sonstelie J (1992) The streetcar and residential location in nineteenth century philadelphia. J Urban Econ 32(1):92–107

    Article  Google Scholar 

  • Glaeser EL (2008) Cities, agglomeration, and spatial equilibrium. Oxford University Press, Oxford

    Google Scholar 

  • Gross DJ (1988) Estimating willingness to pay for housing characteristics: an application of the Ellickson bid-rent model. J Urban Econ 24(1):95–112

    Article  Google Scholar 

  • Gross DJ, Sirmans C, Benjamin JD (1990) An empirical evaluation of the probabilistic bid-rent model: The case of homogenous households. Reg Sci Urban Econ 20(1):103–110

    Article  Google Scholar 

  • Guevara CA, Ben-Akiva M (2006) Endogeneity in residential location choice models. Transp Res Rec J Transp Res Board 1977:60–66

    Article  Google Scholar 

  • Horner MW (2004) Spatial dimensions of urban commuting: a review of major issues and their implications for future geographic research. Prof Geogr 56:170–173

    Google Scholar 

  • Jara-Díaz SR, Martínez FJ (1999) On the specification of indirect utility and willingness to pay for discrete residential location models. J Reg Sci 39(4):675–688

    Article  Google Scholar 

  • Lee L-F (1982) Some approaches to the correction of selectivity bias. Rev Econ Stud 49(3):355–372

    Article  Google Scholar 

  • Lerman SR, Kern CR (1983) Hedonic theory, bid rents, and willingness-to-pay: some extensions of Ellickson’s results. J Urban Econ 13(3):358–363

    Article  Google Scholar 

  • Levy JP (2003) Population patterns and household trajectories in the residential milieu: the example of the Seine-Saint-Denis. Population-E 58(3):323–358

    Article  Google Scholar 

  • Lo AY, Jim CY (2010) Willingness of residents to pay and motives for conservation of urban green spaces in the compact city of Hong Kong. Urban For Urban Green 9(2):113–120

    Article  Google Scholar 

  • Martínez F (1996) Mussa: land use model for Santiago city. Transp Res Rec J Transp Res Board 1552(1):126–134

    Article  Google Scholar 

  • Martinez FJ (1995) Access: the transport - land use economic link. Transp Res B Methodo l29:457–470

    Article  Google Scholar 

  • McFadden D (1978) Modeling the choice of residential location. In: Karlqvist A (ed)Spatial interaction theory and residential location.North-Holland, Amsterdam, pp 75–96

  • McMillen DP (1997) Multiple regime bid-rent function estimation. J Urban Econ 41(2):301–319

    Article  Google Scholar 

  • Miyamoto A, Kitazume K (1989) A land-use model based on random utility/rent-bidding analysis (rurban). Transport policy management and technology - towards 2001 selected proceedings of the fifth world conference on transport research, Yokohama

  • Muto S (2006) Estimation of the bid rent function with the usage decision model. J Urban Econ 60(1):33–49

    Article  Google Scholar 

  • Rieser M, Nagel K, Beuck U, Balmer M, RÃŒmenapp J (2007) Agent-oriented coupling of activity-based demand generation with multiagent traffic simulation. Transp Res Rec 2021:10–17

    Article  Google Scholar 

  • Rosen S (1974) Hedonic prices and implicit markets: product differentiation in pure competition. J Polit Econ 82(1):34–55

    Article  Google Scholar 

  • Salvini P, Miller EJ (2005) Ilute: an operational prototype of a comprehensive microsimulation model of urban systems. Netw Spatial Econ 5:217–234

    Article  Google Scholar 

  • Tiebout CM (1956) A pure theory of local expenditures. J Polit Econ 64(5):416–424

    Article  Google Scholar 

  • Waddell P (1993) Exogenous workplace choice in residential location models: is the assumption valid? Geogr Anal 25:65–82

    Article  Google Scholar 

  • Waddell P, Borning A, Noth M, Freier N, Becke M, Ulfarsson G (2003) Microsimulation of urban development and location choices: design and implementation of urbansim. Netw Spatial Econ 3(1):43–67

    Article  Google Scholar 

  • Walker J, Ben-Akiva M (2002) Generalized random utility model. Math Soc Sci 43(3):303–343

    Article  Google Scholar 

  • Walker JL, Li J (2007) Latent lifestyle preferences and household location decisions. J Geogr Syst 9:77–101

    Article  Google Scholar 

  • Wegener M (2008) The irpud model: overview, Technical report, Spiekermann & Wegener,Urban Reg Res. http://irpud.raumplanung.unidortmund.de/irpud/pro/mod/mod.htm

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Acknowledgments

Research in this article has been funded by the European Commission’s Seventh Framework Programme and the Complex Engineering Systems Institute (ICM: P-05-004-F, CONICYT: FBO16). The authors would like to thank the SustainCity team ( www.sustaincity.org) for their contribution with data collection and processing.

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Correspondence to Ricardo Hurtubia.

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Hurtubia, R., Bierlaire, M. Estimation of Bid Functions for Location Choice and Price Modeling with a Latent Variable Approach. Netw Spat Econ 14, 47–65 (2014). https://doi.org/10.1007/s11067-013-9200-z

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  • DOI: https://doi.org/10.1007/s11067-013-9200-z

Keywords

  • Location choice
  • Bid function
  • Auction
  • Real estate
  • Rent