[PDF] Top 20 Dynamic demand and mean-field games

... cross-coupling mean-field term that incentivizes the TCL to switch to of f if the mains frequency is below the nominal value and to switch to on if the mains frequency is above the nominal ...cross-coupling ... See full document

... context, dynamic demand management aims at assigning part of the regulation burden to the consumers by using “frequency responsive” ap- ...power demand based on the mains ...noncooperative ... See full document

... (Dynamic demand management in power grids [2], [12]) Players are electrical appli- ances, say for instance heating or cooling appliances, and their state is their temperature at a given ...cross ... See full document

... We first reframe the model within the context of stock market literature. Here the continuous-time stochastic model having the structure of a geometric Brownian motion finds its natural collocation as a classical model ... See full document

... the mean field game at hand, a second result is that we establish a mean field equilibrium, that is, a solution in terms of state feedback best-responses for the controlled ...differential ... See full document

... the mean distribution of other networks’ states in spite of the actions of the ...ing mean field game for the cases of both polytopic and L 2 bounds on controls and ...robust mean-field ... See full document

... We consider a population of “crowd-averse” dynamic agents, i.e. the agents are such that they seek to regulate their state to values characterized by a low density, thus avoiding “crowded” states. Similar problems ... See full document

... We first validate the dynamic behavior of our solution. Figure 1 shows the evolution of the mass at four different time steps. Starting from a constant initial density, the mass converges to a steady state, and ... See full document

... the dynamic model (7) appears as a consensus dynamics (opinion synchronization), in which the coupling term accounts for “emula- tion” (an individual’s opinion is influenced by those of its neighbours), and which ... See full document

... “mean field” ...“mean field” ...“mean field” ...“mean field” ...“mean field” approximation) and its initial condition are the constraints of the ... See full document

... n dynamic state processes that are also coupled ...symmetric games when the number of the intervening agents is pretty large and the impact of one particular indi- vidual may be negligible compared to the ... See full document

... the mean field limit under the number of players may be explained as follows: Generally speaking, games with a large number of players are known to be of a high complexity, in the sense that solving ... See full document

... a mean field game theo- retic interpretation of opinion dynamics and ...a mean field equilibrium where all agents reach ε -consensus in a neighborhood of the stubborn agent’s ... See full document

... the mean-field linear-quadratic (LQ) games with major and minor agents in a backward-forward ...other mean-field game literature: (1) Here, the major and minor agents are endowed with ... See full document

... A steady increase in complexity is one of the characteristic features of the modern technological development. It requires an appropriate (or better optimal) management of complex stochastic systems consisting of large ... See full document

... In fact, this is exactly the case which was considered in the initial work on the mean field games [7, 8, 9, 18]. In our framework, this controlled dynamics of each player is extended to an arbitrary ... See full document

... A common observation is that in most cases opinions evolve following so-called averaging processes [11]. It has been shown that when the interaction is global, every agents interact with all other agents, opinions may ... See full document

... inspection games in a mean field ...inspection games, there is one inspector and a large number of interacting ...of dynamic inspection games by using the recently developed ... See full document

... , the FPK equation is solved forward and returns the population behavior time evolution m(t). The last equation in (7) is obtained by aver- aging the left and right hand side of the dynamics (3). Any solution of the ... See full document

... the mean stability index of each ...high mean stability index ...other games, with weight transfers between both feet, but still did not reach the level of stabilizing ... See full document