This paper is aimed at providing a direct proof of the Cease conjecture when the existence of a second-hand market ensures the possibility of arbitrage for the consumers; in this context, the problem is stated as an optimal control problem. The commitment strategy and the no-commitment strategy of the monopolist are respectively found. The latter which is analysed by dynamic programming gives the Cease conjecture result. (C) 1998 Elsevier Science S.A.
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Univ Nacl La Plata, Dept Fis, Fac Ciencias Exactas, CCT,IFLP,CONICET, RA-1900 La Plata, ArgentinaUniv Nacl La Plata, Dept Fis, Fac Ciencias Exactas, CCT,IFLP,CONICET, RA-1900 La Plata, Argentina
Plastino, A.
Rocca, M. C.
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Univ Nacl La Plata, Dept Fis, Fac Ciencias Exactas, CCT,IFLP,CONICET, RA-1900 La Plata, ArgentinaUniv Nacl La Plata, Dept Fis, Fac Ciencias Exactas, CCT,IFLP,CONICET, RA-1900 La Plata, Argentina