Endogenous interval games in oligopolies and the cores

作者: Aymeric Lardon

DOI: 10.1007/S10479-016-2211-7

关键词:

摘要: In this article we study interval games in oligopolies following the γ-approach. First, analyze their non-cooperative foundation and show that each coalition is associated with an endogenous real interval. Second, Hurwicz criterion turns out to be a key concept provide necessary sufficient condition for non-emptiness of induced core solution concepts: standard γ-cores. The first permits ascertain even linear symmetric industries γ-core empty. Moreover, by means approximation technique quadratic Bezier curves prove second always holds, hence non-empty, under natural properties profit cost functions.

参考文章(26)
Koji Okuguchi, Ferenc Szidarovszky, The Theory of Oligopoly with Multi-Product Firms ,(2011)
D.A. Dimitrov, S.H. Tijs, R. Brânzei, Shapley-like values for interval bankruptcy games Economics Bulletin. ,vol. 3, pp. 1- 8 ,(2003)
Jingang Zhao, A β-Core Existence Result and Its Application to Oligopoly Markets☆ Games and Economic Behavior. ,vol. 27, pp. 153- 168 ,(1999) , 10.1006/GAME.1998.0654
James W. Friedman, A Non-cooperative Equilibrium for Supergames The Review of Economic Studies. ,vol. 38, pp. 1- 12 ,(1971) , 10.2307/2296617
Gerard Debreu, Smooth Preferences: A Corrigendum Econometrica. ,vol. 44, pp. 831- 832 ,(1976) , 10.2307/1913453
Paulo Klinger Monteiro, Mário Rui Páscoa, Sérgio Ribeiro da Costa Werlang, On the differentiability of the consumer demand function Journal of Mathematical Economics. ,vol. 25, pp. 247- 261 ,(1996) , 10.1016/0304-4068(95)00719-9
Lloyd S. Shapley, ON BALANCED SETS AND CORES Naval Research Logistics Quarterly. ,vol. 14, pp. 453- 460 ,(1967) , 10.1002/NAV.3800140404
Theo S.H. Driessen, Holger I. Meinhardt, Convexity of oligopoly games without transferable technologies Mathematical Social Sciences. ,vol. 50, pp. 102- 126 ,(2005) , 10.1016/J.MATHSOCSCI.2005.01.003
Trout Rader, Nice Demand Functions Econometrica. ,vol. 41, pp. 913- 935 ,(1973) , 10.2307/1913814