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Optimal two-stage pricing strategies from the seller’s perspective under the uncertainty of buyer’s decisions

Author

Listed:
  • Martín Egozcue

    (Norte Construcciones)

  • Jiang Wu

    (Central University of Finance and Economics
    University of Western Ontario)

  • Ričardas Zitikis

    (University of Western Ontario)

Abstract

In Punta del Este, a resort town in Uruguay, real-estate property is in demand by both domestic and foreign buyers. There are several stages of selling residential units: before, during, and after the actual construction. Different pricing strategies are used at every stage. Our goal in this paper is to derive, under various scenarios of practical relevance, optimal strategies for setting prices within two-stage selling framework, as well as to explore the optimal timing for accomplishing these tasks in order to maximize the overall seller’s expected revenue. Specifically, we put forward a general two-period pricing model and explore pricing strategies from the seller’s perspective, when the buyer’s decisions in the two periods are uncertain: commodity valuations may or may not be independent, may or may not follow the same distribution, be heavily or just lightly influenced by exogenous economic conditions, and so on. Our theoretical findings are illustrated with numerical and graphical examples using appropriately constructed parametric models.

Suggested Citation

  • Martín Egozcue & Jiang Wu & Ričardas Zitikis, 2017. "Optimal two-stage pricing strategies from the seller’s perspective under the uncertainty of buyer’s decisions," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-25, December.
    • Handle: RePEc:spr:jstada:v:4:y:2017:i:1:d:10.1186_s40488-017-0067-2
    DOI: 10.1186/s40488-017-0067-2
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    as
    1. Rothschild, Michael, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 689-711, July/Aug..
    2. Su, Jianxi & Furman, Edward, 2017. "A Form Of Multivariate Pareto Distribution With Applications To Financial Risk Measurement," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 331-357, January.
    3. Alai, Daniel H. & Landsman, Zinoviy & Sherris, Michael, 2013. "Lifetime dependence modelling using a truncated multivariate gamma distribution," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 542-549.
    4. Furman, Edward & Landsman, Zinoviy, 2010. "Multivariate Tweedie distributions and some related capital-at-risk analyses," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 351-361, April.
    5. John W. Pratt & David A. Wise & Richard Zeckhauser, 1979. "Price Differences in almost Competitive Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 189-211.
    6. 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.
    7. Sheharyar Bokhari & David Geltner, 2011. "Loss Aversion and Anchoring in Commercial Real Estate Pricing: Empirical Evidence and Price Index Implications," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 39(4), pages 635-670, December.
    8. George J. Stigler, 1962. "Information in the Labor Market," NBER Chapters, in: Investment in Human Beings, pages 94-105, National Bureau of Economic Research, Inc.
    9. Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2006. "Multiplicative Background Risk," Management Science, INFORMS, vol. 52(1), pages 146-153, January.
    10. Volker Nocke & Martin Peitz, 2007. "A Theory of Clearance Sales," Economic Journal, Royal Economic Society, vol. 117(522), pages 964-990, July.
    11. Michael A. Arnold, 1999. "Search, Bargaining and Optimal Asking Prices," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 27(3), pages 453-481, September.
    12. Joost M. E. Pennings & Ale Smidts, 2003. "The Shape of Utility Functions and Organizational Behavior," Management Science, INFORMS, vol. 49(9), pages 1251-1263, September.
    13. Franke, Guenter & Schlesinger, Harris & Stapleton, Richard C., 2011. "Risk taking with additive and multiplicative background risks," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1547-1568, July.
    14. Yongheng Deng & Stuart A. Gabriel & Kiyohiko G. Nishimura & Diehang (Della) Zheng, 2012. "Optimal Pricing Strategy in the Case of Price Dispersion: New Evidence from the Tokyo Housing Market," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 40, pages 234-272, December.
    15. Anenberg, Elliot, 2011. "Loss aversion, equity constraints and seller behavior in the real estate market," Regional Science and Urban Economics, Elsevier, vol. 41(1), pages 67-76, January.
    16. Dhami, Sanjit, 2016. "The Foundations of Behavioral Economic Analysis," OUP Catalogue, Oxford University Press, number 9780198715535.
    17. , & ,, 2014. "Regular prices and sales," Theoretical Economics, Econometric Society, vol. 9(1), January.
    18. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    19. Michael A. Arnold, 1992. "The Principal‐Agent Relationship in Real Estate Brokerage Services," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 20(1), pages 89-106, March.
    20. Ilia Tsetlin & Robert L. Winkler, 2005. "Risky Choices and Correlated Background Risk," Management Science, INFORMS, vol. 51(9), pages 1336-1345, September.
    21. Alexandru V. Asimit & Raluca Vernic & Ricardas Zitikis, 2016. "Background Risk Models and Stepwise Portfolio Construction," Methodology and Computing in Applied Probability, Springer, vol. 18(3), pages 805-827, September.
    22. Tsanakas, Andreas, 2008. "Risk measurement in the presence of background risk," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 520-528, April.
    23. Tapan Biswas & Jolian Mchardy, 2012. "Asking Price And Price Discounts: The Strategy Of Selling An Asset Under Price Uncertainty," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 4(1), pages 17-37, June.
    24. Lazear, Edward P, 1986. "Retail Pricing and Clearance Sales," American Economic Review, American Economic Association, vol. 76(1), pages 14-32, March.
    25. Michael Rothschild, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown: A Summary," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 1, pages 293-294, National Bureau of Economic Research, Inc.
    26. Joseph L. Gastwirth, 1976. "On Probabilistic Models of Consumer Search for Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 38-50.
    27. Han Hong & Matthew Shum, 2006. "Using price distributions to estimate search costs," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 257-275, June.
    28. Titman, Sheridan, 1985. "Urban Land Prices under Uncertainty," American Economic Review, American Economic Association, vol. 75(3), pages 505-514, June.
    29. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    30. Furman, Edward & Landsman, Zinoviy, 2005. "Risk capital decomposition for a multivariate dependent gamma portfolio," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 635-649, December.
    31. Quan, Daniel C & Quigley, John M, 1991. "Price Formation and the Appraisal Function in Real Estate Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 4(2), pages 127-146, June.
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