As Director of the Office of Scientific Research and Development, Dr. Vannevar Bush has coordinated the activities of some six thousand leading American scientists in the application of science to warfare. In this significant article he holds up an incentive for scientists when the fighting has ceased. He urges that men of science should then turn to the massive task of making more accessible o...

This paper investigates the Stackelberg equilibrium for pricing and ordering decisions in a multi-channel supply chain. We study a situation where a manufacturer is going to open a direct online channel in addition to n existing traditional retail channels. It is assumed that the manufacturer is the leader and the retailers are the followers. The situation has a hierarchical nature and...

Abstract The nonlocal competition in prey and schooling behavior among predators are incorporated a delayed diffusive predator–prey model. Our main interest is to study the dynamic properties of model generated by delay. We mainly concentrate on stability Hopf bifurcation at coexisting equilibrium. Compared with without competition, our results suggest that can affect equilibrium, induce stably...

MAPPING OF PLANETARY SURFACES: APPLICATION TO OMEGA/MARS-EXRESS IMAGES. J-Ph. Combe, C. Sotin, S. Le Mouélic, P. Launeau, J. Mustard, A. Gendrin , J-P. Bibring, B. Gondet, Y. Langevin and the OMEGA Science team. 1 Laboratoire de Planétologie et de Géodynamique de Nantes, Faculté des Sciences et des Techniques, 2 chemin de la Houssinière, B.P. 92205, 44322 Nantes CEDEX 03, France, Brown Universi...

This paper studies an environment of simultaneous, separate, first-price auctions for complementary goods. Agents observe private values of each good before making bids, and the complementarity between goods is explicitly incorporated in their utility. For simplicity, a model is presented with two first-price auctions and two bidders. We show that a monotone pure-strategy Bayesian Nash Equilibr...

‎In this paper‎, ‎we introduce and study a class of generalized vector quasi-equilibrium problem‎, ‎which includes many vector equilibrium problems‎, ‎equilibrium problems‎, ‎vector variational inequalities and variational inequalities as special cases‎. ‎Using one person game theorems‎, ‎the concept of escaping sequences and without convexity assumptions‎, ‎we prove some existence results for ...

We consider a mathematical model of epidemic spread  in which the  population  is partitioned  into five compartments of susceptible S(t), Infected I(t), Removed R(t), Prevented U(t) and the Controlled W(t). We assume each of the compartments comprises of cohorts of individuals which are  identical with respect to the disease status. We derive five systems of equations to represent each of the ...

We consider the bifurcation of periodic solutions from an equilibrium point of the given equation: x =F(x,?) , where x ? R , ? is a vector of real parameters ? , ? , ... , ? and F:R x R ->R has at least second continuous derivations in variables

With the increasing use of different types of auctions in market designing, modeling of participants’ behaviors to evaluate the market structure is one of the main discussions in the studies related to the deregulated power industries. In this article, we apply an approach of the optimal bidding behavior to the Iran wholesale electricity market as a restructured electric power industry and mode...

We prove a strong convergence result for a sequence generated by Halpern's type iteration for approximating a common fixed point of a countable family of quasi-Lipschitzian mappings in a real Hilbert space. Consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for co...