The theory of mean field games aims at studying deterministic or stochastic differential
games (Nash equilibria) as the number of agents tends to infinity. Since very few mean field …

The turnpike property refers to the phenomenon that in many optimal control problems, the
solutions for different initial conditions and varying horizons approach a neighborhood of a …

Turnpike properties have been established long time ago in finite-dimensional optimal
control problems arising in econometry. They refer to the fact that, under quite general …

The turnpike property in contemporary macroeconomics asserts that if an economic planner
seeks to move an economy from one level of capital to another, then the most efficient path …

We consider an economic nonlinear model predictive control scheme without terminal
constraints or costs. We give conditions based on dissipativity and controllability properties …

These notes are an introduction to Mean Field Game (MFG) theory, which models differential
games involving infinitely many interacting players. We focus here on the Partial Differential …

For discrete time nonlinear systems we study the relation between strict dissipativity and so
called turnpike-like behavior in optimal control. Under appropriate controllability …

We investigate the exponential turnpike property for finite horizon undiscounted discrete
time optimal control problems without any terminal constraints. Considering a class of strictly …

We analyze the sensitivity of linear quadratic optimal control problems governed by general
evolution equations with bounded or admissible control operator. We show, that if the …

In this work, we study the steady-state (or periodic) exponential turnpike property of optimal
control problems in Hilbert spaces. The turnpike property, which is essentially due to the …