The ability to collect detailed information about customer behavior and the ease of communication due to new technologies (including Internet and IT) have motivated extensive research into dynamic decision making in general and continuous-time production, pricing and investment strategies in particular. The carry over to investments in supply chain infrastructures by interacting firms, sharing ...

We reconsider the conventional wisdom that, in the presence of public goods, Nash tax rates are too low. We use a general equilibrium dynamic model of a world economy, in which world-wide environmental quality has public good features. We show that the type of the spillover effect from one country to another (and hence whether we under-tax, or over-tax, in a Nash equilibrium relative to a coord...

This paper discusses and formulates a continuoustime SEIR -type epidemic model of pseudo-mass action type with finitely distributed delays under a very general, and in general time-varying, vaccination control rule which eventually generates feedback actions on the susceptible, infectious and recovered subpopulations. A lot of particular vaccination laws can be got from the proposed general one...

This paper studies the problem of controlling the planar position and orientation of an autonomous surface vessel using two independent thrusters. It is first shown that although the system is not asymptotically stabiIizable to a given equilibrium configuration using a time-invariant continuous feedback, it is strongly accessible and small-time locally controllable at any equilibrium. Time-inva...

This paper deals with the analysis of a metabolic network with feedback inhibition. The considered system is an acyclic network of mono-molecular enzymatic reactions in which metabolites can act as feedback regulators on “preceding” enzymes of their own pathway, and in which one metabolite is the root of the whole network. We show, under mild assumptions, the uniqueness of the equilibrium. In t...

An analysis of underactuated manipulators from both the dynamic and control points of view is presented. While the unactuated joints dynamic equation is recognized to be a nonholonomic constraint in the general case, necessary and sufficient conditions are given to identify special cases in which such a constraint is integrable. In contrast to most examples in the literature, the unactuated joi...

Recently, Chaillet et al. (2017) proved that the closed-loop system resulting from output proportional feedback stabilization of a class delayed neural fields is input-to-state stable (ISS) for sufficiently high gain, subject to existence an equilibrium point system. In present paper, we show sufficient condition such exist activation functions are bounded.

Feedback scores in an online marketplace have risen sharply over time, leading to substantial top-censoring. Some of the increase is explained by more satisfied raters, but at least 35-45% is attributable to raters applying lower standards. We show that this “reputation inflation” is the equilibrium outcome of a model in which (a) inferences made by future trading partners determine what consti...

While much of the school choice literature advocates strategyproofness, recent research has aimed to improve efficiency using mechanisms that rely on non-truthtelling equilibria. We address two issues that arise from this approach. We first show that even in simple environments with ample feedback and repetition, agents fail to reach non-truthtelling equilibria. We offer another way forward: im...