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Endogenous interval games in oligopolies and the cores

Listed author(s):
  • Aymeric Lardon


    (GREDEG - Groupe de Recherche en Droit, Economie et Gestion - UNS - Université Nice Sophia Antipolis - UCA - Université Côte d'Azur - CNRS - Centre National de la Recherche Scientifique - UCA - Université Côte d'Azur)

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

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Paper provided by HAL in its series Post-Print with number halshs-00544044.

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Date of creation: 29 Apr 2016
Publication status: Published in Annals of Operations Research, Springer Verlag, 2016, 〈10.1007/s10479-016-2211-7〉
Handle: RePEc:hal:journl:halshs-00544044
DOI: 10.1007/s10479-016-2211-7
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