11 research outputs found
Mean-Field Games for Marriage
This article examines mean-field games for marriage. The results support the
argument that optimizing the long-term well-being through effort and social
feeling state distribution (mean-field) will help to stabilize marriage.
However, if the cost of effort is very high, the couple fluctuates in a bad
feeling state or the marriage breaks down. We then examine the influence of
society on a couple using mean field sentimental games. We show that, in
mean-field equilibrium, the optimal effort is always higher than the one-shot
optimal effort. We illustrate numerically the influence of the couple's network
on their feeling states and their well-being.Comment: 22 figures. Accepted and to appear in PLoS On
Risk-Sensitive Mean-Field Type Control under Partial Observation
We establish a stochastic maximum principle (SMP) for control problems of
partially observed diffusions of mean-field type with risk-sensitive
performance functionals.Comment: arXiv admin note: text overlap with arXiv:1404.144
A Risk-Sensitive Global Maximum Principle for Controlled Fully Coupled FBSDEs with Applications
This paper is concerned with a kind of risk-sensitive optimal control problem
for fully coupled forward-backward stochastic systems. The control variable
enters the diffusion term of the state equation and the control domain is not
necessarily convex. A new global maximum principle is obtained without assuming
that the value function is smooth. The maximum condition, the first- and
second-order adjoint equations heavily depend on the risk-sensitive parameter.
An optimal control problem with a fully coupled linear forward-backward
stochastic system and an exponential-quadratic cost functional is discussed.
The optimal feedback control and optimal cost are obtained by using Girsanov's
theorem and completion-of-squares approach via risk-sensitive Riccati
equations. A local solvability result of coupled risk-sensitive Riccati
equations is given by Picard-Lindelf's Theorem.Comment: 31 page
Mean-Field-Type Games in Engineering
A mean-field-type game is a game in which the instantaneous payoffs and/or
the state dynamics functions involve not only the state and the action profile
but also the joint distributions of state-action pairs. This article presents
some engineering applications of mean-field-type games including road traffic
networks, multi-level building evacuation, millimeter wave wireless
communications, distributed power networks, virus spread over networks, virtual
machine resource management in cloud networks, synchronization of oscillators,
energy-efficient buildings, online meeting and mobile crowdsensing.Comment: 84 pages, 24 figures, 183 references. to appear in AIMS 201