A Bayesian mean field game approach to supply demand analysis of the smart grid

Maryam Kamgarpour, Tembine Hamidou

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    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.

    Original languageEnglish (US)
    Title of host publication2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013
    Pages211-215
    Number of pages5
    DOIs
    StatePublished - Dec 16 2013
    Event2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013 - Batumi, Georgia
    Duration: Jul 3 2013Jul 5 2013

    Other

    Other2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013
    CountryGeorgia
    CityBatumi
    Period7/3/137/5/13

    Fingerprint

    Parallel algorithms
    Learning algorithms
    Costs

    ASJC Scopus subject areas

    • Computer Networks and Communications
    • Ocean Engineering

    Cite this

    Kamgarpour, M., & Hamidou, T. (2013). A Bayesian mean field game approach to supply demand analysis of the smart grid. In 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013 (pp. 211-215). [6623412] https://doi.org/10.1109/BlackSeaCom.2013.6623412

    A Bayesian mean field game approach to supply demand analysis of the smart grid. / Kamgarpour, Maryam; Hamidou, Tembine.

    2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013. 2013. p. 211-215 6623412.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Kamgarpour, M & Hamidou, T 2013, A Bayesian mean field game approach to supply demand analysis of the smart grid. in 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013., 6623412, pp. 211-215, 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013, Batumi, Georgia, 7/3/13. https://doi.org/10.1109/BlackSeaCom.2013.6623412
    Kamgarpour M, Hamidou T. A Bayesian mean field game approach to supply demand analysis of the smart grid. In 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013. 2013. p. 211-215. 6623412 https://doi.org/10.1109/BlackSeaCom.2013.6623412
    Kamgarpour, Maryam ; Hamidou, Tembine. / A Bayesian mean field game approach to supply demand analysis of the smart grid. 2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013. 2013. pp. 211-215
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