Multiplayer Allocations in the Presence of Diminishing Marginal Contributions: Cooperative Game Analysis and Applications in Management Science

References

• Barbot C (2006) Low cost carriers, secondary airports and state aid: An economic assessment of the Ryanair-Charleroi Airport agreement. J. Air Transportation Management 12(4):197–203.Google Scholar
• Barton TL (1992) A unique solution for the nucleolus in accounting allocations. Decision Sci. 23(2):365–375.Crossref, Google Scholar
• Bondareva ON (1963) Some applications of linear programming to the theory of cooperative games. Problemy Kibernetikii 10:119–139 [in Russian]. English translation in (1968) Takeuchi K, Wesley E, eds. Selected Russian Papers on Game Theory 1959–1965 (Princeton University Press, Princeton, NJ), 29–31.Google Scholar
• Çetiner D (2013) Fair Revenue Sharing Mechanisms for Strategic Passenger Airline Alliances, Lecture Notes in Economics and Mathematical Systems (Springer, Berlin).Crossref, Google Scholar
• Chen R, Roma P (2011) Group buying of competing retailers. Production Oper. Management 20(2):181–197.Crossref, Google Scholar
• Cruijssen F, Cools M, Dullaert W (2007) Horizontal cooperation in logistics: Opportunities and impediments. Transportation Res. Part E: Logist. Transport Rev. 43(2):129–142.Crossref, Google Scholar
• de Arantes Gomes Eller R, Moreira M (2014) The main cost-related factors in airlines management. J. Transportation Literature 8(1):8–23.Crossref, Google Scholar
• Derks J, Kuipers J (2002) On the number of extreme points of the core of a transferable utility game. Borm P, Peters H, eds. Chapters in Game Theory (Kluwer Academic Publishers, Dordrecht, Netherlands), 83–97.Google Scholar
• Driessen T (1985) Properties of 1-convex n-person games. OR Spectrum 7(1):19–26.Crossref, Google Scholar
• Dror M, Hartman BC (2007) Shipment consolidation: Who pays for it and how much? Management Sci. 53(1):78–87.Link, Google Scholar
• Ergun O, Kuyzu G, Savelsbergh M (2007) Reducing truckload transportation costs through collaboration. Transportation Sci. 41(2):206–221.Link, Google Scholar
• Gillies DB (1953) Some theorems on n-person games. PhD thesis, Princeton University, Princeton, NJ.Google Scholar
• Guo H, Leng M, Wang Y (2012) Interchange fee rate, merchant discount rate, and retail price in a credit card network: A game-theoretic approach. Naval Res. Logist. 59(7):525–551.Crossref, Google Scholar
• Hartman BC, Dror M (1996) Cost allocation in continuous-review inventory models. Naval Res. Logist. 43(4):549–561.Crossref, Google Scholar
• Iatrou K, Alamdari F (2005) The empirical analysis of the impact of alliances on airline operations. J. Air Transport Management 11(3):127–134.Crossref, Google Scholar
• Leng M, Parlar M (2009) Allocation of cost savings in a three-level supply chain with demand information sharing: A cooperative-game approach. Oper. Res. 57(1):200–213.Link, Google Scholar
• Leng M, Parlar M (2010) Analytic solution for the nucleolus of a three-player cooperative game. Naval Res. Logist. 57(7):667–672.Crossref, Google Scholar
• Maschler M, Peleg B, Shapley LS (1979) Geometric properties of the kernel, nucleolus, and related solution concepts. Math. Oper. Res. 4(4):303–338.Link, Google Scholar
• Megiddo N (1974) On the nonmonotonicity of the bargaining set, the kernel and the nucleolus of a game. SIAM J. Appl. Math. 27(2):355–358.Crossref, Google Scholar
• Moulin H (1985) The separability axiom and equal-sharing methods. J. Econom. Theory 36(1):120–148.Crossref, Google Scholar
• Nagarajan M, Bassok Y (2008) A bargaining framework in supply chains: The assembly problem. Management Sci. 54(8):1482–1496.Link, Google Scholar
• Nagarajan M, Sošić G (2007) Stable farsighted coalitions in competitive markets. Management Sci. 53(1):29–54.Link, Google Scholar
• Nagarajan M, Sošić G (2009) Coalition stability in assembly models. Oper. Res. 57(1):131–145.Link, Google Scholar
• Oum T, Park JH, Kim K, Yu C (2002) The effect of horizontal alliances on firm productivity and profitability: Evidence from the global airline industry. J. Bus. Res. 57(8):844–853.Crossref, Google Scholar
• Peleg B, Sudhölter P (2007) Introduction to the Theory of Cooperative Games, Theory and Decision Library Series C, 2nd ed. (Springer, Berlin).Google Scholar
• Porter ME, Fuller MB (1986) Coalitions and global strategy. Porter ME, ed. Competition in Global Industries (Harvard Business School Press, Boston), 315–343.Google Scholar
• Raghunathan S (2003) Impact of demand correlation on the value of and incentives for information sharing in a supply chain. Eur. J. Oper. Res. 146(3):634–649.Crossref, Google Scholar
• Samuelson PA, Nordhaus WD (2009) Microeconomics, 19th ed. (McGraw-Hill/Irwin, New York).Google Scholar
• Schmeidler D (1969) The nucleolus of a characteristic function game. SIAM J. Appl. Math. 17(6):1163–1170.Crossref, Google Scholar
• Schotanus F, Telgen J, de Boer L (2008) Unfair allocation of gains under the equal price allocation method in purchasing groups. Eur. J. Oper. Res. 187(1):162–176.Crossref, Google Scholar
• Schotanus F, Telgen J, de Boer L (2009) Unraveling quantity discounts. Omega 37(3):510–521.Crossref, Google Scholar
• Schulz AS, Uhan NA (2013) Approximating the least core value and least core of cooperative games with supermodular costs. Discrete Optim 10(2):163–180.Crossref, Google Scholar
• Shapley LS (1953) A value for n-person games. Kuhn HW, Tucker AW, eds. Contributions to the Theory of Game, Annals of Mathematical Studies, vol. 2 (Princeton University Press, Princeton, NJ), 307–317.Google Scholar
• Shapley LS (1967) On balanced sets and cores. Naval Res. Logist. 14(4):453–460.Crossref, Google Scholar
• Shapley LS, Shubik M (1966) Quasi-cores in a monetary economy with nonconvex preferences. Econometrica 34(4):805–827.Crossref, Google Scholar
• Shapley LS, Shubik M (1969) On the core of an economic system with externalities. Amer. Econom. Rev. 59(4):678–684.Google Scholar
• Sheppard EJ, Seidman D (2001) Ocean shipping alliances: The wave of the future? Internat. J. Maritime Econom. 3(4):351–367.Crossref, Google Scholar
• Sošić G (2006) Transshipment of inventories among retailers: Myopic vs. farsighted stability. Management Sci. 52(10):1493–1508.Link, Google Scholar
• Vasigh B, Fleming K, Tacker T (2008) Introduction to Air Transport Economics: From Theory to Applications (Ashgate Publishing Limited, Hampshire, England).Google Scholar
• Wensveen JG (2007) Air Transportation: A Management Perspective, 6th ed. (Ashgate Publishing Limited, Hampshire, UK).Google Scholar
• Young HP (1985) Monotonic solutions of cooperative games. Internat. J. Game Theory 14(2):65–72.Crossref, Google Scholar
• Zhang A, Zhang Y (2006) Rivalry between strategic alliances. Internat. J. Indust. Organ. 24(2):287–301.Crossref, Google Scholar