Continuous Time Finite State Mean Field Games

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mean field limit of a continuous time finite state game

Mean field games is a recent area of study introduced by Lions and Lasry in a series of seminal papers in 2006. Mean field games model situations of competition between large number of rational agents that play non-cooperative dynamic games under certain symmetry assumptions. A key step is to develop a mean field model, in a similar way to what is done in statistical physics in order to constru...

متن کامل

Socio-economic applications of finite state mean field games.

In this paper, we present different applications of finite state mean field games to socio-economic sciences. Examples include paradigm shifts in the scientific community or consumer choice behaviour in the free market. The corresponding finite state mean field game models are hyperbolic systems of partial differential equations, for which we present and validate different numerical methods. We...

متن کامل

Long time average of mean field games

Mean Field Games models, as developed by J.-M. Lasry and P.-L. Lions, describe, roughly speaking, situations with large number of identical agents taking into account in their strategies the mass of the other co-players. Such model gives rise to a coupled system of PDEs, namely a viscous Hamilton-Jacobi equation for the value function of the average player coupled with a Fokker-Planck equation ...

متن کامل

Mean Field Games

We survey here some recent studies concerning what we call mean-field models by analogy with Statistical Mechanics and Physics. More precisely, we present three examples of our mean-field approach to modelling in Economics and Finance (or other related subjects. . . ). Roughly speaking, we are concerned with situations that involve a very large number of “rational players” with a limited inform...

متن کامل

Discrete mean field games

In this paper we study a mean field model for discrete time, finite number of states, dynamic games. These models arise in situations that involve a very large number of agents moving from state to state according to certain optimality criteria. The mean field approach for optimal control and differential games (continuous state and time) was introduced by Lasry and Lions [LL06a, LL06b, LL07]. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics & Optimization

سال: 2013

ISSN: 0095-4616,1432-0606

DOI: 10.1007/s00245-013-9202-8