Abstract
Game theory is often applied to modeling interactions of non-cooperative decision makers. Such interaction appear, among others, in the case of energy management. In this context we formulate the problem of energy allocation for a group of electric vehicles in a smart grid. Subsequently, we formulate a game-theoretic model of interactions of agents controlling vehicle charging schedules. An algorithm for computing pure Nash equilibrium in such game is presented. Moreover, we introduce a solver, which is specifically designed to find equilibria in concave games. The core of the proposed solver is based on the primal-dual interior-point method for nonlinear programming. Experimental results of applying the solver are compared with a centralized solution.
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Drwal, M., Radziszewska, W., Ganzha, M., Paprzycki, M. (2014). Equilibria in Concave Non-cooperative Games and Their Applications in Smart Energy Allocation. In: Fortino, G., Di Fatta, G., Li, W., Ochoa, S., Cuzzocrea, A., Pathan, M. (eds) Internet and Distributed Computing Systems. IDCS 2014. Lecture Notes in Computer Science, vol 8729. Springer, Cham. https://doi.org/10.1007/978-3-319-11692-1_35
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DOI: https://doi.org/10.1007/978-3-319-11692-1_35
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