On a reformulation of Cournot-Nash equilibria

On Cournot - Nash Equilibria with Exogenous Uncertainty

A large body of literature has accumulated which examines how the optimal solution of an agent maximizing the expectation of a real-valued function, depending on a random parameter p and the agent's behavior x, reacts to perturbations in the first and second moments of p. Here, by an approximation valid for small uncertainty, we allow many agents and consider their behavior in a Cournot-Nash eq...

Optimal Transport and Cournot-Nash Equilibria

Abstract We study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by the minimisation of some cost, related to optimal transport. This cost is not convex in the usual sense in general but it turns out to have hidden strict convexity properties in many relevant cases. This enables us to obtain new uniqueness results and a characterisation of equilib...

On Solutions to Cournot-nash Equilibria Equations on the Sphere

In this note, we discuss equations associated to Cournot-Nash Equilibria as put forward by Blanchet and Carlier [1]. These equations are related to an optimal transport problem in which the source measure is known but the target measure is to be determined. A Cournot-Nash Equilibrium is a special type of optimal transport: Each individual x is transported to a point T (x) in a way that not only...

Uniqueness of Nash equilibria in a quantum Cournot duopoly game

A quantum Cournot game whose classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties: (i) if the measurement of entanglement between strategic variables chosen by the competing firms is sufficiently large, the multiplicity of equilibria vanishes, and (ii) the more str...

The Stability of Nash-Cournot Equilibria in Labor Managed Oligopolies