Optimal Pricing of Correlated Product Options Under the Paired Combinatorial Logit Model
Published Online:3 Jul 2017https://doi.org/10.1287/opre.2017.1614
References
- (2010) Joint dynamic pricing of multiple perishable products under consumer choice. Management Sci. 56(8):1345–1361.Link, Google Scholar
- (2008) Joint inventory and pricing decisions for an assortment. Oper. Res. 56(5):1247–1255.Link, Google Scholar
- (1999) Discrete choice methods and their applications to short-term travel decisions. Hall R, ed. Handbook of Transportation Science (Kluwer Academic Publisher, New York), 5–34.Crossref, Google Scholar
- (2013) Connected substitutes and invertibility of demand. Econometrica 81(5):2087–2111.Crossref, Google Scholar
- (2003) Nonlinear Programming (Athena Scientific, Belmont, MA).Google Scholar
- (2006) A theoretical analysis of the cross-nested logit model. Ann. Oper. Res. 144(1):287–300.Crossref, Google Scholar
- (2005) Route choice models with subpath components. Proc. 5th Swiss Transportation Res. Conf., Ascona, Switzerland, TRANSP-OR-CONF-2006-032.Google Scholar
- (2001) The acceptance of modal innovation: The case of Swissmetro. Proc. 1st Swiss Transportation Res. Conf., Ascona, Switzerland, TRANSP-OR-TALK-2001-003.Google Scholar
- (2008) The impact of consumer search, firm entry and competition on assortment and pricing. Marketing Sci. 27(3):461–473.Link, Google Scholar
- (2012) Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models. Transportation Res. Part A 46(8):1343–1358.Google Scholar
- (1989) A paired combinatorial logit model for travel demand analysis. Proc. 5th World Conf. Transportation Res., Ventura, CA (WTCRS, Leeds, UK), 295–309.Google Scholar
- (2014) Assortment optimization under variants of the nested logit model. Oper. Res. 62(2):250–273.Link, Google Scholar
- (2009) Dynamic pricing and inventory control of substitute products. Manufacturing Service Oper. Management 11(2):317–339.Link, Google Scholar
- (1971) The linear complementarity problem. Management Sci. 17(9):612–634.Link, Google Scholar
- (1979) Two-period stochastic programs with simple recourse. Oper. Res. 27(3):485–502.Link, Google Scholar
- (1965) The Jacobian matrix and global univalence of mappings. Math. Annalen 159(2):81–93.Crossref, Google Scholar
- (2014) Multiproduct price optimization and competition under the nested logit model with product-differentiated price sensitivities. Oper. Res. 62(2):450–461.Link, Google Scholar
- (1979) On univalence and P-matrices. Linear Algebra Appl. 24:239–250.Crossref, Google Scholar
- (1995) Product differentiation and oligopoly in international markets: The case of the U.S. automobile industry. Econometrica 63(4):891–951.Crossref, Google Scholar
- (1996) Optimizing multinomial logit profit functions. Management Sci. 42(7):992–1003.Link, Google Scholar
- (2012) A joint model for vehicle type and fuel type choice: Evidence from a cross-nested logit study. Transportation 39(3):593–625.Crossref, Google Scholar
- (2005) Product line selection and pricing with modularity in design. Manufacturing Service Oper. Management 7(3):172–187.Link, Google Scholar
- (2015) Technical note: Pricing under the nested attraction model with a multistage choice structure. Oper. Res. 63(4):840–850.Link, Google Scholar
- (1991) Modeling and testing structured markets: A nested logit approach. Marketing Sci. 10(1):58–82.Link, Google Scholar
- (1985) Multiplicity of equilibria and comparative statics. Quart. J. Econom. 100(1):119–147.Crossref, Google Scholar
- (2013) Tractable multi-product pricing under discrete choice models. Doctoral dissertation, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
- (2011) Optimal and competitive assortments with endogenous pricing under hierarchical consumer choice models. Management Sci. 57(9):1546–1563.Link, Google Scholar
- (2000) The paired combinatorial logit model: Properties, estimation and application. Transportation Res. Part B 34(2):75–89.Crossref, Google Scholar
- (2015) PBM competition in pharmaceutical supply chain: Formulary design and drug pricing. Manufacturing Service Oper. Management 17(4):511–526.Link, Google Scholar
- (2015) The d-level nested logit model: Assortment and price optimization problems. Oper. Res. 63(2):325–342.Link, Google Scholar
- (2011) Pricing multiple products with the multinomial logit and nested logit models: Concavity and implications. Manufacturing Service Oper. Management 13(4):549–563.Link, Google Scholar
- (2007) Joint pricing, assortment, and inventory decisions for a retailer’s product line. Naval Res. Logist. 54(3):315–330.Crossref, Google Scholar
- (1979) Homeomorphisms of compact, convex sets and the Jacobian matrix. SIAM J. Math. Anal. 10(6):1105–1109.Crossref, Google Scholar
- (1978) Modelling the choice of residential location. Karlqvist A, Lundqvist L, Snickars F, Weibull J, eds. Spatial Interaction Theory and Planning Models (North-Holland, Amsterdam), 75–96.Google Scholar
- (1996) Global methods for nonlinear complementarity problems. Math. Oper. Res. 21(3):589–614.Link, Google Scholar
- (2004) Some developments on the cross-nested logit model. Transportation Res. B 38(9):833–851.Crossref, Google Scholar
- (1973) Matrix Theory and Finite Mathematics (McGraw-Hill, New York).Google Scholar
- (2004) Route choice models used in the stochastic user equilibrium problem: A review. Transport Rev. 24(4):437–463.Crossref, Google Scholar
- (2015) Approximation methods for pricing problems under the nested logit model with price bounds. INFORMS J. Comput. 27(2):335–357.Link, Google Scholar
- (1970) On M-functions and their application to nonlinear Gauss-Seidel iterations and to network flows. J. Math. Anal. Appl. 32(2):274–307.Crossref, Google Scholar
- (1976) On paths generated by fixed point algorithms. Math. Oper. Res. 1(4):359–380.Link, Google Scholar
- (1987) A discrete choice model for ordered alternatives. Econometrica 55(2):409–424.Crossref, Google Scholar
- (2009) A copula-based joint multinomial discrete-continuous model of vehicle type choice and miles of travel. Transportation 36(4):403–422.Crossref, Google Scholar
- (1976) On recurring theorems on diagonal dominance. Linear Algebra Appl. 13(1):1–9.Crossref, Google Scholar
- (2010) A pseudo-sequential choice model for valuing multi-attribute environmental policies or programs in contingent valuation applications. Agricultural and Resource Econom. Rev. 39(1):9–20.Crossref, Google Scholar
- (1997) Cross-nested logit model: An application to mode choice in the Tel-Aviv Metropolitan Area. Transportation Res. Board, 76th Annual Meeting, Washington DC, Paper 970387.Crossref, Google Scholar
- (2010) Modelling different types of bundled automobile insurance choice behaviour: The case of Taiwan. The Geneva Papers on Risk and Insurance—Issues and Practice 35(2):290–308.Crossref, Google Scholar
- (2012) Capacitated assortment and price optimization under the multinomial logit model. Oper. Res. Lett. 40(6):492–497.Crossref, Google Scholar
- (2001) The generalized nested logit model. Transportation Res. Part B 35(7):627–641.Crossref, Google Scholar

