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A necessary and sufficient condition for the convexity in oligopoly games

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  • Zhao, Jingang

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  • Zhao, Jingang, 1999. "A necessary and sufficient condition for the convexity in oligopoly games," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 189-204, March.
    • Handle: RePEc:eee:matsoc:v:37:y:1999:i:2:p:189-204
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    1. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    2. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Driessen, T.S.H. & Tijs, S.H., 1985. "The t-value, the core and semiconvex games," Other publications TiSEM 016b6b5d-a476-44ca-bd05-7, Tilburg University, School of Economics and Management.
    4. Jingang Zhao, 1998. "Non-Empty Core as a Precondition for Horizontal Merger: Core Existence without Using Balancedness," Working Papers 98-07, Ohio State University, Department of Economics.
    5. Liqun Qi, 1988. "Odd Submodular Functions, Dilworth Functions and Discrete Convex Functions," Mathematics of Operations Research, INFORMS, vol. 13(3), pages 435-446, August.
    6. Inarra, Elena & Usategui, Jose M, 1993. "The Shapley Value and Average Convex Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(1), pages 13-29.
    7. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Other publications TiSEM cd695be5-0f54-4548-a952-2, Tilburg University, School of Economics and Management.
    8. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    9. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
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    Cited by:

    1. Theo Driessen & Dongshuang Hou & Aymeric Lardon, 2011. "Stackelberg oligopoly TU-games: characterization of the core and 1-concavity of the dual game," Working Papers halshs-00610840, HAL.
    2. Aymeric Lardon, 2014. "A partial characterization of the core in Bertrand oligopoly TU-games with transferable technologies," Working Papers hal-01081803, HAL.
    3. Norde, Henk & Pham Do, Kim Hang & Tijs, Stef, 2002. "Oligopoly games with and without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 187-207, March.
    4. Takeda, Kohei & Hosoe, Toyoki & Watanabe, Takayuki & Matsubayashi, Nobuo, 2018. "Stability analysis of horizontal mergers in a market with asymmetric substitutability," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 73-84.
    5. Dongshuang Hou & Aymeric Lardon & T. S. H. Driessen, 2017. "Stackelberg Oligopoly TU-Games: Characterization and Nonemptiness of the Core," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-16, December.
    6. Trine Tornøe Platz & Lars Peter Østerdal, 2013. "Forming and Dissolving Partnerships in Cooperative Game Situations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(2), pages 208-228, April.
    7. Meinhardt, Holger Ingmar, 2020. "On the Replication of the Pre-Kernel and Related Solutions," MPRA Paper 102676, University Library of Munich, Germany.
    8. Kumoi, Yuki & Matsubayashi, Nobuo, 2014. "Vertical integration with endogenous contract leadership: Stability and fair profit allocation," European Journal of Operational Research, Elsevier, vol. 238(1), pages 221-232.
    9. Aymeric Lardon, 2012. "The γ-core in Cournot oligopoly TU-games with capacity constraints," Theory and Decision, Springer, vol. 72(3), pages 387-411, March.
    10. Dongshuang Hou & Theo Driessen & Aymeric Lardon, 2011. "Convexity and the Shapley value in Bertrand oligopoly TU-games with Shubik's demand functions," Working Papers halshs-00610838, HAL.
    11. Artem Sedakov, 2020. "Characteristic Function and Time Consistency for Two-Stage Games with Network Externalities," Mathematics, MDPI, vol. 8(1), pages 1-9, January.
    12. Driessen, Theo S.H. & Meinhardt, Holger I., 2005. "Convexity of oligopoly games without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 102-126, July.
    13. Aymeric Lardon, 2020. "Convexity of Bertrand oligopoly TU-games with differentiated products," Annals of Operations Research, Springer, vol. 287(1), pages 285-302, April.

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