mean field
Mean-field games for marriage.
... suggests that the optimal effort may help in sustaining marriage and cohabitation if the cost of that effort is acceptable and the initial couple state is not too low. This helps us to understand at least theoretically ...
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Large amplitude motion with a stochastic mean-field approach
... Abstract. In the stochastic mean-field approach, an ensemble of initial conditions is considered to incorporate correlations beyond the mean-field. Then each starting point is propagated ...
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Mean-Field Games and Dynamic Demand Management in Power Grids
... engineering, mean field games have been applied to medium access control in wireless networks, resource allocation problem, flow control, congestion management, demand and price formation in the power grid ...
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Alternative Derivation of the Mean Field Equations for Composite Fermions
... gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2 + 1 ...electromagnetic field in the ...
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Mean field games based on the stable-like processes
... The work on deterministic LLN limits for interacting particles and its representation in terms of nonlinear kinetic equations goes back to [65], [18]. The main approach of physicists was via the so-called Bogoliubov or ...
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Nonequivalent Ensembles for the Mean Field φ6 Spin Model
... model the entropy is a concave function of the energy for all values of the magnetization, but is non-concave as a function of the magnetization for some values of the energy. This means that the magnetic susceptibility ...
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Approximate solutions for crowd-averse robust mean-field games
... cross-coupling mean-field term measuring the congestion resulting from the collective behavior, which motivates the term ...robust mean-field ...
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Opinion dynamics and stubbornness through mean-field games
... As a matter of fact, interactions among particles is a main element in the theory of mean field games initiated by Lasry and Lions in [13], [4]. The underlying idea is that a large number of ...
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Mean Field Linear Quadratic Games with Set Up Costs
... to mean field games [9, 11, ...of mean field games was first formulated by Lasry and Lions [11] and studies the interactions among infinite homoge- neous players, ...the mean ...
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Nonperturbative Mean-Field Theory for Minimum Enstrophy Relaxation
... the mean zonal ...the mean field approach, the selective decay analysis for the PV flux in this work is entirely non-perturbative and contains no assumption about turbulence ...
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Derivation of mean field equations for stochastic particle systems
... the mean-field interaction of the particle system on the complete graph. Even though the limiting birth death dynamics is irreducible under non-degenerate initial conditions, the non-linearity leads to ...
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Beyond-mean-field correlations and the description of superheavy elements
... Self-Consistent Mean-Field (SCMF) models are one of the standard approaches to describe a wide range of phenomena in nuclear structure and dynamics ...
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Failure of mean-field approximation in weakly coupled dilaton gravity
... Therefore, we still need simple solvable models to address the black hole information puzzle. One may hope to resolve it in the simplified context of two-dimensional dilaton gravity. This class of models has been ...
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Opinion Dynamics in Social Networks through Mean-Field Games
... a mean field game framework that captures the interactions among a large number of networks where herding behavior is ...rewarding. Mean-field games provide better insights on the strategic ...
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Consensus via multi-population robust mean-field games
... In less prescriptive environments where individuals are told ‘what to do’ but not ‘how to do’, synchronization can be a byproduct of strategic thinking, prediction, and local interactions. We prove this in the context of ...
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Mean-field games and two-point boundary value problems
... a mean-field game, for which solutions depend on two partial differential equations, namely the Hamilton-Jacobi-Bellman equation and the Fokker-Plank- Kolmogorov ...
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Nonextensive critical effects in relativistic nuclear mean field models
... nuclear mean field models widely used to describe nuclear matter towards accounting for the influence of possible intrinsic fluctuations caused by the envi- ...many-body field theory describing the ...
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A mean field model for movement induced changes in the beta rhythm
... the mean-field variables of a set of local populations, to describe systems with a mixture of excitation and ...a mean- field reduction can also be performed in this case (Lai and Porter ...
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Corruption and botnet defense : a mean field game approach
... time-dependent mean-field game approach one is interested in the approximate (for large N) symmetric Nash equilibria of such ...stationary mean-field game approach one is looking for the ...
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Bandwagon effect in mean-field games
... 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 ...
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