2,550 research outputs found
Spatial strategies of firms under Stackelberg competention
The paper explores a spatial duopoly of firms under Stackelberg competition, when one of the firms is a leader in term of product volume. The equilibrium spatial strategies of firms are found. In the process of the analysis of equilibrium stability, it is proved that the transport tariff is a bifurcation parameter for firms. It was found that the change in the central agglomeration strategy to the differentiation strategy occurs at the point of transcritical bifurcation. The conditions for full coverage of the markets for both strategies are defined. It is obtained that the information asymmetry leads to asymmetry of equilibrium locations of firms. It is established that under differentiation strategy, the follower can due to the space factor overcome information asymmetry in the nearest markets and get a profit more than the leader.В работе исследована пространственная дуополия фирм в условиях конкуренции Штакельберга, когда одна из фирм является лидером по объему продукции. Найдены равновесные пространственные стратегии фирм. В ходе анализа устойчивости равновесия доказано, что транспортный тариф является бифуркационным параметром для фирм. Найдено, что изменение стратегии центральной агломерации на стратегию дифференциации происходит в точке транскритической бифуркации. Определены условия полного покрытия рынка для обеих стратегий. Получено, что информационная асимметрия приводит к асимметрии равновесного расположения фирм. Установлено, что при дифференциации последователь может на прилегающих рынках преодолеть информационную асимметрию за счет фактора пространства и получить прибыль больше, чем у лидера
Friedmann universe with dust and scalar field
We study a spatially flat Friedmann model containing a pressureless perfect
fluid (dust) and a scalar field with an unbounded from below potential of the
form V(\fii)=W_0 - V_0\sinh(\sqrt{3/2}\kappa\fii), where the parameters
and are arbitrary and . The model is
integrable and all exact solutions describe the recollapsing universe. The
behavior of the model near both initial and final points of evolution is
analyzed. The model is consistent with the observational parameters. We single
out the exact solution with the present-day values of acceleration parameter
and dark matter density parameter describing
the evolution within the time approximately equal to .Comment: 11 pages, 10 figure
Measuring sigma(e^+e^- \to hadrons) using tagged photon
We propose to use events with radiated photons in e^+e^- collisions to
measure the total cross section of e^+ e^- \to hadrons as a function of the
center of mass energy. The Monte Carlo simulation for the collider DAPHNE shows
that a competitive accuracy can be achieved with this method.Comment: revtex, 13 page
Towards topological quantum computer
One of the principal obstacles on the way to quantum computers is the lack of
distinguished basis in the space of unitary evolutions and thus the lack of the
commonly accepted set of basic operations (universal gates). A natural choice,
however, is at hand: it is provided by the quantum R-matrices, the entangling
deformations of non-entangling (classical) permutations, distinguished from the
points of view of group theory, integrable systems and modern theory of
non-perturbative calculations in quantum field and string theory. Observables
in this case are (square modules of) the knot polynomials, and their pronounced
integrality properties could provide a key to error correction. We suggest to
use R-matrices acting in the space of irreducible representations, which are
unitary for the real-valued couplings in Chern-Simons theory, to build a
topological version of quantum computing.Comment: 14 page
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