Joint research unit 7235

Noncooperative oligopoly equilibrium in markets with hierarchical competition

Ludovic A. Julien

This paper deals with the existence of a non-cooperative sequential equilibrium in interrelated markets with heterogeneous atomic traders. Since this model features a rich set of strategic interactions, there are two kinds of problems associated with the existence of equilibrium. First, existence and uniqueness of followers’ strategies are not guaranteed. Second, the no-trade equilibrium is always an equilibrium outcome. To overcome these two difficulties we consider a differentiable approach. We show that the set of equations which determines the strategies of followers is a variety with the required dimension, i.e. the vector mapping which defines this set is a local C²-diffeomorphism. The continuous differentiability of followers’ strategies is critical for the existence of an interior equilibrium. Unlike the simultaneous move games, exchange can take place in one subgame while autarky can hold in another subgame, in which case only leaders (followers) make trade. Some examples buttress the approach and discuss the assumptions made on the primitives.

AGENDA

Monday 3 April 2023

Law, Institutions and Economics in Nanterre (LIEN)

Stefania Marcassa (CY Cergy)

En salle 614 et en distanciel

Migration, Social Change, and the Early Decline in U.S. Fertility

Monday 3 April 2023

Migration, Social Change, and the Early Decline in U.S. Fertility

Stefania Marcassa (CY Cergy)

En salle 614 et en distanciel

Migration, Social Change, and the Early Decline in U.S. Fertility

Tuesday 4 April 2023

Recherche et Economie et Socioéconomie Politique, des Institutions et des Régulations (RESPIR)

Franck Bessis (Triangle et Université Lyon 2)

Une ethnographie de l’expertise économique d’Etat

Tuesday 4 April 2023

Une ethnographie de l’expertise économique d’Etat

Franck Bessis (Triangle et Université Lyon 2)

Une ethnographie de l’expertise économique d’Etat

Tuesday 4 April 2023

Développement Durable Environnement et Energie (DDEE)

Etienne Lorang (Tilburg University)

Salle 614B de 16h00 – 17h00)

A CGE Integrating Material Stocks and Flows

Tuesday 4 April 2023

A CGE Integrating Material Stocks and Flows

Etienne Lorang (Tilburg University)

Salle 614B de 16h00 – 17h00)

A CGE Integrating Material Stocks and Flows

Thursday 6 April 2023

Lunch

Axel Gautier (Université de Liège)

The energy community and the grid

Thursday 6 April 2023

The energy community and the grid

Axel Gautier (Université de Liège)

The energy community and the grid

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