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A [beta]-Core Existence Result and Its Application to Oligopoly Markets

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  • Zhao, Jingang

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  • Zhao, Jingang, 1999. "A [beta]-Core Existence Result and Its Application to Oligopoly Markets," Games and Economic Behavior, Elsevier, vol. 27(1), pages 153-168, April.
    • Handle: RePEc:eee:gamebe:v:27:y:1999:i:1:p:153-168
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    1. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    2. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Yano, Makoto, 1990. "A Local Theory of Cooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(3), pages 301-324.
    5. 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).
    6. Kajii, Atsushi, 1992. "A generalization of Scarf's theorem: An [alpha]-core existence theorem without transitivity or completeness," Journal of Economic Theory, Elsevier, vol. 56(1), pages 194-205, February.
    7. Zhao, Jingang, 1996. "The hybrid equilibria and core selection in exchange economies with externalities," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 387-407.
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    Cited by:

    1. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, September.
    2. Crettez, Bertrand & Nessah, Rabia & Tazdaït, Tarik, 2022. "On the strong hybrid solution of an n-person game," Mathematical Social Sciences, Elsevier, vol. 117(C), pages 61-68.
    3. Stéphane Gonzalez & Aymeric Lardon, 2018. "Optimal deterrence of cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 207-227, March.
    4. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    5. Bertrand Crettez & Rabia Nessah & Tarik Tazdaït, 2023. "On the strong $$\beta$$ β -hybrid solution of an N-person game," Theory and Decision, Springer, vol. 94(3), pages 363-377, April.
    6. Aymeric Lardon, 2019. "On the coalitional stability of monopoly power in differentiated Bertrand and Cournot oligopolies," Theory and Decision, Springer, vol. 87(4), pages 421-449, November.
    7. 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.
    8. Aymeric Lardon, 2017. "Endogenous interval games in oligopolies and the cores," Annals of Operations Research, Springer, vol. 248(1), pages 345-363, January.
    9. Paraskevas Lekeas & Giorgos Stamatopoulos, 2016. "Cooperative Games with Externalities and Probabilistic Coalitional Beliefs," Working Papers 1605, University of Crete, Department of Economics.
    10. Jingang Zhao, 2009. "Estimating Merging Costs by Merger Preconditions," Theory and Decision, Springer, vol. 66(4), pages 373-399, April.
    11. Bertrand Crettez & Rabia Nessah & Tarik Tazdaït, 2023. "On The Strong Β-Hybrid Solution Of An N-Person Game," Post-Print hal-04204632, HAL.
    12. Nessah, Rabia & Tazdaı¨t, Tarik, 2013. "Absolute optimal solution for a compact and convex game," European Journal of Operational Research, Elsevier, vol. 224(2), pages 353-361.
    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.
    14. Yang, Zhe & Song, Qingping, 2022. "A weak α-core existence theorem of generalized games with infinitely many players and pseudo-utilities," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 40-46.
    15. Paraskevas Lekeas & Giorgos Stamatopoulos, 2014. "Cooperative oligopoly games with boundedly rational firms," Annals of Operations Research, Springer, vol. 223(1), pages 255-272, December.
    16. 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.
    17. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.
    18. 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.
    19. Parkash Chander, 2020. "Stability of the merger-to-monopoly and a core concept for partition function games," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 953-973, December.

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