Theoretical results for gas market equilibrium modeling with application to Brazil
摘要
In this paper, we present an abstract view of natural gas markets to offer a theoretical discussion on the existence and uniqueness of equilibrium solutions. In the abstract model, each player solves a separate profit-maximization optimization problem, the first-order optimality conditions of which can be concatenated together along with market-clearing conditions to give rise to a mixed complementarity problem. The equilibrium-based approach features a general framework that allows for the analysis of a convex combination of price-taking and price-making strategies for producers with a particular Cournot coefficient. As a new motivation for such an analysis, we apply the model to a gas market in transition as is the case in Brazil, which has undergone significant regulatory changes aimed at making it more open and competitive. By demonstrating a sensitivity analysis of market competition on an illustrative Brazilian gas network, we offer new insights to competitive natural gas market modeling.