2 2 1 TAKEUCHI, Kenzo 1 Ramsey 1 Boiteux ICC Baumol and Bradford 3 Braeutigam 4 Winston 5 Damus 6 1 Damus 7 McFarland 8 9 Damus 7 Two- Way

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1 2 2 1 TAKEUCHI, Kenzo 1 Ramsey 1 Boiteux ICC Baumol and Bradford 3 Braeutigam 4 Winston 5 Damus 6 1 Damus 7 McFarland 8 9 Damus 7 Two- Way Access Armstrong 10 2 Vol.13 No Autumn 015

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8 q 0 q a q b p 0 p 0 C p 0 H p 0A p 0B p a p b q 0A q 0B k TB TC TC A TC B MC 0 MC 0A MC 0B MC a MC b e 0 e a e b Aa Bb 1 p 0H p 0A p 0B A B Aa Bb Aq 0A q 0 Bq 0B 1q 0 1 A B 1 A B Aa Bb Aa Bb A4 p 0B p H 0 p 0A p 0B A p 0A p H 0 p 0A p 0B A4A5 A6 q 0 0 A7 A4p H 0 =p 0A p 0B A1 A8 3MC 0A MC 0A 1 MC 0A MC 0B MC 0B 1MC 0B Damus1984p. 534 A9 A2 p 0 H =p 0A p 0B A3 A Vol.13 No Autumn

9 A11 Laffont and Tirole 14 pp EXCEL A12 1Arnott and Kraus 11 2Damus 7 AB AB TB/q 0 p C 0 12 pp qidamus 7 p Train Train 13 p double-marginalization double-marginalization double-marginalization 1Ramsey, F.1927A Contribution to the Theory of TaxationEconomic JournalVol. 37pp Boiteux, M.1956Sur la Gestion des Monopoles Publics Astreints á lequilibre BudgetaireEconometricaVol. 24pp Baumol, W. J. and Bradford, F.1970Optimal Departures from Marginal Cost PricingAmerican Economic ReviewVol. 67No. 3pp Braeutigam, R. B.1979Optimal Pricing with Intermodal Competition American Economic ReviewVol. 69No. 1pp Winston, C.1981The Welfare Effects of ICC Rate Regulation RevisitedBell Journal of EconomicsVol. 12No. 1pp Damus, S.1981Two-Part Tariffs and Optimum Taxation: the Case of Railway RatesAmerican Economic ReviewVol. 71No. 1pp Damus, S.1984Ramsey Pricing by U. S. RailroadsJournal of Transport Economics and PolicyVol. 18No. 1pp McFarland, H.1986Ramsey Pricing of Inputs with Downstream Monopoly Power and RegulationJournal of Transport Economics and PolicyVol. 20No. 1pp pp Armstrong, M.1998Network Interconnection in Telecommunications Economic JournalVol. 108No. 448pp Arnott, R. and Kraus, M.1993The Ramsey Problem for Congestible FacilitiesJournal of Public EconomicsVol. 50pp Train, K.1977Optimal Transit Prices under Increasing Returns to Scale and a Loss ConstraintsJournal of Transport Economics and PolicyVol. 11No. 2pp Laffont, J-J. and Tirole, J.2000Competition in TelecommunicationMIT Press An Economic Analysis of Ramsey Pricing in Pool Train Fares By Kenzo TAKEUCHI Given the case that trains are operated over a track owned by two railway companies, the common fare in which they share a single break-even constraint, the common fare in which they have its own break-even constraint, an added-up fare, and a fare by the merged company are considered from the view point of Ramsey pricing. It is shown in qualitative analyses and numerical examples that the common fare is likely to be superior to the adding-up fare in terms of social net benefits. It is also shown that Ramsey rules are applicable in branch lines operated by each company. Key Words : Ramsey pricing, Ramsey rule, pool train, economy of scale, economy of scope Vol.13 No Autumn 023

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