Dynamic Pricing of Perishable Assets Under Competition

References

• Adelman D (2007) Dynamic bid prices in revenue management. Oper. Res. 55(4):647–661.Link, Google Scholar
• Adida E, Perakis G (2010) Dynamic pricing and inventory control: Uncertainty and competition. Oper. Res. 58(2):289–302.Link, Google Scholar
• Arana-Jiménez M, Osuna-Gómez R, Rufián-Lizana A, Ruiz-Garzón G (2008) KT-invex control problem. Appl. Math. Comput. 197(2):489–496.Crossref, Google Scholar
• Bernstein F, Federgruen A (2005) Decentralized supply chains with competing retailers under demand uncertainty. Management Sci. 51(1):18–29.Link, Google Scholar
• Bohnenblust HF, Karlin S (1950) On a theorem of Ville. Kuhn HW, Tucker AW, eds. Contributions to the Theory of Games, Vol. 1 (Princeton University Press, Princeton, NJ), 155–160.Google Scholar
• Borkovsky R, Doraszelski U, Kryukov Y (2010) A user's guide to solving dynamic stochastic games using the homotopy method. Oper. Res. 58(4–2):1116–1132.Link, Google Scholar
• Brémaud P (1980) Point Processes and Queues, Martingale Dynamics (Springer-Verlag, New York).Google Scholar
• Carlson DA (2002) Uniqueness of normalized Nash equilibrium for a class of games with strategies in banach spaces. Zaccour G, ed. Decision and Control in Management Science: Essays in Honor of Alain Haurie (Kluwer Academic Publishers, Norwell, MA), 333–348.Crossref, Google Scholar
• Cesari L (1983) Optimization—Theory and Applications: Problems with Ordinary Differential Equations, Applications of Mathematics, Vol. 17 (Springer-Verlag, New York).Crossref, Google Scholar
• Chintagunta PK, Rao VR (1996) Pricing strategies in a dynamic duopoly: A differential game model. Management Sci. 42(11):1501–1514.Link, Google Scholar
• Dai JG, Williams RJ (1995) Existence and uniqueness of semimartingale reflecting Brownian motions in convex. Theory Probab. Appl. 40(1):1–40.Crossref, Google Scholar
• Dockner E, Jorgensen S, Van Long N, Sorger G (2000) Differential Games in Economics and Management Science (Cambridge University Press, New York).Crossref, Google Scholar
• Farias V, Saure D, Weintraub GY (2012) An approximate dynamic programming approach to solving dynamic oligopoly models. RAND J. Econom. 43(2):253–282.Crossref, Google Scholar
• Federgruen A, Hu M (2013) Sequential multi-product price competition in supply chain networks. Working paper, Columbia University, New York.Google Scholar
• Feichtinger G, Dockner E (1985) Optimal pricing in a duopoly: A noncooperative differential games solution. J. Optim. Theory Appl. 45:199–218.Crossref, Google Scholar
• Fershtman C, Pakes A (2000) A dynamic oligopoly with collusion and price wars. RAND J. Econom. 31(2):207–236.Crossref, Google Scholar
• Friesz TL (2010) Dynamic Optimization and Differential Games, 1st ed., International Series in Operations Research and Management Science, Vol. 135 (Springer, New York).Crossref, Google Scholar
• Gallego G, van Ryzin G (1994) Optimal dynamic pricing of inventories with stochastic demand over finite horizons. Management Sci. 40(8):999–1020.Link, Google Scholar
• Gallego G, Huh WT, Kang W, Phillips R (2006) Price competition with the attraction demand model: Existence of unique equilibrium and its stability. Manufacturing Service Oper. Management 8(4):359–375.Link, Google Scholar
• Hartl RF, Sethi SP, Vickson RG (1995) A survey of the maximum principles for optimal control problems with state constraints. SIAM Rev. 37(2):181–218.Crossref, Google Scholar
• Jiang H, Pang Z (2011) Network capacity management under competition. Comput. Optim. Appl. 50(2):287–326.Crossref, Google Scholar
• Levin Y, McGill J, Nediak M (2009) Dynamic pricing in the presence of strategic consumers and oligopolistic competition. Management Sci. 55(1):32–46.Link, Google Scholar
• Lin KY, Sibdari S (2009) Dynamic price competition with discrete customer choices. Eur. J. Oper. Res. 197(3):969–980.Crossref, Google Scholar
• Liu Q, Zhang D (2013) Dynamic pricing competition with strategic customers under vertical product differentiation. Management Sci. 59(1):84–101.Link, Google Scholar
• Luenberger DG (1968) Optimization by Vector Space Methods (John Wiley & Sons, New York).Google Scholar
• Maglaras C, Meissner J (2006) Dynamic pricing strategies for multiproduct revenue management problems. Manufacturing Service Oper. Management 8(2):136–148.Link, Google Scholar
• Mantin B (2008) On the effect of competition and strategic consumer behavior in revenue management. Ph.D. thesis, Sauder School of Business, University of British Columbia, Vancouver.Google Scholar
• Mookherjee R, Friesz TL (2008) Pricing, allocation and overbooking in dynamic service network competition when demand is uncertain. Prod. Oper. Management 17(4):1–20.Crossref, Google Scholar
• Netessine S, Shumsky RA (2005) Revenue management games: Horizontal and vertical competition. Management Sci. 51(5):813–831.Link, Google Scholar
• Pakes A, McGuire P (1994) Computing markov-perfect Nash equilibria: Numerical implications of a dynamic differentiated product model. RAND J. Econom. 25(4):555–589.Crossref, Google Scholar
• Pang Z, Berman O, Hu M (2013) Up then down: The bid-price trends in revenue management. Working paper, Lancaster University, Lancaster, UK.Google Scholar
• Perakis G, Sood A (2006) Competitive multi-period pricing for perishable products: A robust optimization approach. Math. Programming 107(1–2):295–335.Crossref, Google Scholar
• Rosen JB (1965) Existence and uniqueness of equilibrium points for concave n-person games. Econometrica 33(3):520–534.Crossref, Google Scholar
• Royden HL (1988) Real Analysis, 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
• Starr AW, Ho YC (1969) Further properties of nonzero-sum differential games. J. Optim. Theory Appl. 3(4):207–219.Crossref, Google Scholar
• Talluri K, Martínez de Albéniz V (2011) Dynamic price competition with fixed capacities. Management Sci. 57(6):1078–1093.Link, Google Scholar
• Topkis DM (1998) Supermodularity and Complementarity (Princeton University Press, Princeton, NJ).Crossref, Google Scholar
• Vives X (1999) Oligopoly Pricing: Old Ideas and New Tools (MIT Press, Cambridge, MA).Google Scholar
• Wang Z, Hu M (2014) Committed versus contingent pricing under competition. Production Oper. Management, ePub ahead of print March 21, http://onlinelibrary.wiley.com/doi/10.1111/poms.12202/abstract.Crossref, Google Scholar
• Xu X, Hopp WJ (2006) A monopolistic and oligopolistic stochastic flow revenue management model. Oper. Res. 54(6):1098–1109.Link, Google Scholar
• Zalmai GJ (1985) Sufficient optimality conditions in continuous-time nonlinear programming. J. Math. Anal. Appl. 111(1):130–147.Crossref, Google Scholar