The mathematical foundations of dynamic user equilibrium

Strategic Foundations of General Equilibrium: Dynamic Matching and Bargaining

Adam Smith’s classic treatise An Inquiry into the Nature and Causes of the Wealth of Nations effectively laid down the foundations of the economics discipline. Implicit in his analyses lies a theory of perfect competition, which was subsequently developed by Alfred Marshall and Leon Walras. The theory of perfectly competitive equilibrium (or competitive equilibrium, for short), which was built ...

A Dynamic Side-Constrained User Equilibrium Problem

Abstract: This paper incorporates two side constraints, namely, the link capacity and first-in-first-out (FIFO) constraints, into the dynamic user equilibrium (DUE) problem. Although the link capacity constraint has been addressed in the literature, its implications for the associated multiple-valued dual variables have not been properly drawn out and, thus, the matter is still subject to contr...

The Mathematical Foundations of Randomness

Wegive anontechnical account of themathematical theoryof randomness. The theory of randomness is founded on computability theory, and it is nowadays often referred to as algorithmic randomness. It comes in two varieties: A theory of finite objects, that emerged in the 1960s through the work of Solomonoff, Kolmogorov, Chaitin and others, and a theory of infinite objects (starting with von Mises ...

Foundations of Strategic Equilibrium

Mathematical Foundations of Photogrammetry

Photogrammetry uses photographic cameras to obtain information about the 3D world. The basic principle of photogrammetric measurement is straightforward: recording a light ray in a photographic image corresponds to observing a direction from the camera to the 3D scene point where the light was reflected or emitted. From this relation, procedures have been derived to orient cameras relative to e...