Discontinuous Demand Functions: Estimation and Pricing
Published Online:27 Apr 2020https://doi.org/10.1287/mnsc.2019.3446
References
- (2011) Improved algorithms for linear stochastic bandits. Shawe-Taylor J, Zemel RS, Bartlett P, Pereira FCN, Weinberger KQ, eds. Advances in Neural Information Processing Systems, vol. 24 (Curran Associates, Red Hook, NY), 2312–2320.Google Scholar
- (1942) Spatial competition in a discontinuous market. Quart. J. Econom. 56(2):212–230.Crossref, Google Scholar
- (2009) Dynamic pricing for nonperishable products with demand learning. Oper. Res. 57(5):1169–1188.Link, Google Scholar
- (2007) Improved rates for the stochastic continuum-armed bandit problem. Bshouty N, Gentile C, eds. Proc. 20th Annual Conf. Learn. Theory, COLT 2007, Lecture Notes in Computer Science, vol. 4539 (Springer, Berlin), 454–468.Google Scholar
- (2009) Clicks, discontinuities, and firm demand online. J. Econom. Management Strategy 18(4):935–975.Crossref, Google Scholar
- (2009) Dynamic pricing without knowing the demand function: Risk bounds and near-optimal algorithms. Oper. Res. 57(6):1407–1420.Link, Google Scholar
- (2011) On the minimax complexity of pricing in a changing environment. Oper. Res. 59(1):66–79.Link, Google Scholar
- (2004) Low-income households’ expenditures on fruits and vegetables. Agricultural Economic Report AER-833, Economic Research Service, U.S. Department of Agriculture, Washington, DC.Google Scholar
- (2012) Dynamic pricing under a general parametric choice model. Oper. Res. 60(4):965–980.Link, Google Scholar
- (2008) Sale or lease? Durable-goods monopoly with network effects. Marketing Sci. 27(6):1012–1019.Link, Google Scholar
- (2009) Regret and convergence bounds for a class of continuum-armed bandit problems. IEEE Trans. Automatic Control 54(6):1243–1253.Crossref, Google Scholar
- (1897) Researches into the Mathematical Principles of the Theory of Wealth, trans. Bacon NT (Macmillan Company, New York).Google Scholar
- (2008) Stochastic linear optimization under bandit feedback. Servedio R, Zhang T, eds. Proc. 21st Annual Conf. Learn. Theory (COLT) (Omni Press, Helsinki, Finland), 355–366.Google Scholar
- (2015a) Dynamic pricing and learning: Historical origins, current research, and new directions. Surveys Oper. Res. Management Sci. 20(1):1–18.Crossref, Google Scholar
- (2015b) Tracking the market: Dynamic pricing and learning in a changing environment. Eur. J. Oper. Res. 247(3):914–927.Crossref, Google Scholar
- (2014) Simultaneously learning and optimizing using controlled variance pricing. Management Sci. 60(3):770–783.Link, Google Scholar
- (2015) Dynamic pricing and learning with finite inventories. Oper. Res. 63(4):965–978.Link, Google Scholar
- (2010) Dynamic pricing with a prior on market response. Oper. Res. 58(1):16–29.Link, Google Scholar
- (1994) Optimal dynamic pricing of inventories with stochastic demand over finite horizons. Management Sci. 40(8):999–1020.Link, Google Scholar
- (2012) Bayesian dynamic pricing policies: Learning and earning under a binary prior distribution. Management Sci. 58(3):570–586.Link, Google Scholar
- (2014) Optimal dynamic pricing with demand model uncertainty: A squared-coefficient-of-variation rule for learning and earning. Working paper, Duke University, Durham, NC.Google Scholar
- (2014) Dynamic pricing with an unknown demand model: Asymptotically optimal semi-myopic policies. Oper. Res. 62(5):1142–1167.Link, Google Scholar
- (2016) Chasing demand: Learning and earning in a changing environment. Math. Oper. Res. 42(2):277–307.Link, Google Scholar
- (2005) Nearly tight bounds for the continuum-armed bandit problem. Saul LK, Weiss Y, Bottou L, eds. Advances in Neural Information Processing Systems, vol. 17 (Curran Associates, Red Hook, NY), 697–704.Google Scholar
- (2003) The value of knowing a demand curve: Bounds on regret for online posted-price auctions. Proc. 44th Annual IEEE Sympos. Foundations Comput. Sci. (FOCS) (IEEE Computer Society, Washington, DC), 594–605.Google Scholar
- (2019) Bandit algorithms. Accessed September 1, 2019, https://tor-lattimore.com/downloads/book/book.pdf.Google Scholar
- (1934) The influence of marginal buyers on monopolistic competition. Quart. J. Econom. 49(1):121–135.Crossref, Google Scholar
- (1952) Some aspects of the sequential design of experiments. Bull. Amer. Math. Soc. (N.S.) 58(5):527–535.Crossref, Google Scholar
- (2010) Linearly parameterized bandits. Math. Oper. Res. 35(2):395–411.Link, Google Scholar
- (2019) Introduction to multi-armed bandits. Preprint, submitted April 15, http://arxiv.org/abs/1904.07272.Google Scholar
- (1933) On the likelihood that one unknown probability exceeds another in view of the evidence of two samples. Biometrika 25(3-4):285–294.Crossref, Google Scholar

