Mathematical Economics

These works focus on equilibrium existence, and firms’ strategies in collusive environments or in differentiation spaces using multi-agents simulations or mathematical frameworks from Physics or Computer science.

An illustration of our markets on general surfaces

A unified model of horizontal differentiation with general spaces and irrational consumers

This paper offers a novel theoretical framework for horizontal differentiation models, with Riemannian stochastic geometry.

Strategies and equilibria on selected markets: a multi-agent simulation and stochastic modeling approach

In this paper, we introduce the first agent-based model of competition in quantities featuring a Deep Deterministic Policy Gradient (DDPG) algorithm and assess its effect on both equilibrium stability and collusive outcome.

Mathematical Economics#

Mathematical Economics