2011/09/14 by Arman C. Kizilkale, Shie Mannor, Kizilkale, Arman C. +1
Economics, Econometrics and Finance · #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stochastic processes and financial applications #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1109.3151
openalex publication_date 2011/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the efficiency of markets with friction, particularly power markets. We model the market as a dynamic system with (dt; t≥ 0) the demand process and (st; t≥ 0) the supply process. Using stochastic differential equations to model the dynamics with friction, we investigate the efficiency of the market under an integrated expected undiscounted cost function solving the optimal control problem. Then, we extend the setup to a game theoretic model where multiple suppliers and consumers interact continuously by setting prices in a dynamic market with friction. We investigate the equilibrium, and analyze the efficiency of the market under an integrated expected social cost function. We provide an intriguing efficiency-volatility no-free-lunch trade-off theorem.