TY - GEN
T1 - A Bayesian mean field game approach to supply demand analysis of the smart grid
AU - Kamgarpour, Maryam
AU - Tembine, Hamidou
PY - 2013
Y1 - 2013
N2 - We explore a game theoretic framework for multiple energy producers competing in energy market. Each producer, referred to as a player, optimizes its own objective function given the demand utility. The equilibrium strategy of each player depends on the production cost, referred to as type, of the other players. We show that as the number of players increases, the mean of the types is sufficient for finding the equilibrium. For finite number of players, we design a mean field distributed learning algorithm that converges to equilibrium. We discuss extensions of our model to include several realistic aspects of the energy market.
AB - We explore a game theoretic framework for multiple energy producers competing in energy market. Each producer, referred to as a player, optimizes its own objective function given the demand utility. The equilibrium strategy of each player depends on the production cost, referred to as type, of the other players. We show that as the number of players increases, the mean of the types is sufficient for finding the equilibrium. For finite number of players, we design a mean field distributed learning algorithm that converges to equilibrium. We discuss extensions of our model to include several realistic aspects of the energy market.
UR - http://www.scopus.com/inward/record.url?scp=84890072005&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890072005&partnerID=8YFLogxK
U2 - 10.1109/BlackSeaCom.2013.6623412
DO - 10.1109/BlackSeaCom.2013.6623412
M3 - Conference contribution
AN - SCOPUS:84890072005
SN - 9781479908578
T3 - 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013
SP - 211
EP - 215
BT - 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013
T2 - 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013
Y2 - 3 July 2013 through 5 July 2013
ER -