A Linear Quadratic Deterministic Continuous Time Game with many symmetric players is considered and the Linear Feedback Nash strategies are studied as the number of players goes to infinity. We show that under some conditions the limit of the solutions exists and can be used to approximate the case with a finite but large number of players. It is shown that in the limit each player acts as if h...

In this paper we review a number of algorithms to compute Nash equilibria in deterministic linear quadratic differential games. We will review the open-loop and feedback information case. In both cases we address both the finite and the infinite-planning horizon.

G. BIRKHOFF and J . v . NEUMANN1 have shown in 1936 that the closed linear manifolds (subspaces) of the Hilbert space form a complete atomic and ortho-complemented lattice LQ which at least for finite dimensional subspaces is also modular. JAUCH 2 ' 3 , PIRON4 and KAMBER5 have pointed out, that instead of the modularity a weeker condition can be formulated in LQ which is always fulfilled for th...

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Several aspects of the manifestation of the causality principle in LQP (local quantum physics) are reviewed or presented. Particular emphasis is given to those properties which are typical for LQP in the sense that they do go beyond the structure of general quantum theory and even escape the Lagrangian quantization methods of standard QFT. The most remarkable are those relating causality to the...

In this report the velocity algorithm – the one the computes the input change given the state change and the current measurement – is studied under the general framework of LQ regulators. Similarities and differences with the standard algorithm are discussed in order to emphasize advantages and disadvantages of each formulation.

This document describes the search for 2 nd-generation leptoquarks (LQ 2) in about 104 pb£ 1 of p ¯ p collisions, recorded with the DØ detector between September 2002 and June 2003 at a center-of-mass energy of ¤ s ¥ 1¦ 96 TeV. The predictions of the Standard Model and models including scalar leptoquark production are compared to the data for various kinematic distributions. Since no excess of ...

We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a Brownian motion which turns out to be a new interpretation of the Arcsine law.

By introducing the concepts of implicit coalitions and con‡ict of interests in a multiple-player context, this paper generalizes some theorems on policy invariance and equilibrium existence and uniqueness for LQ policy games. JEL: C72, E52, E61