An algorithm for solving a two-person game with information transfer

An algorithm for solving a two-person game with information transfer is proposed. The algorithm is based on a special linear programming problem. An example is given.     

Effects of Motion, Implied Direction and Displacement of a Large-Visual-Stimulus on Postural Control

Effects of motion, implied direction in a static stimulus and displacement on postural control were examined independently. In Experiment 1, rotation of a random-dot stimulus was presented. In Experiments 2 and 3, photographic slides of natural scenes were used; participants closed their eyes during stimulus rotation to eliminate motion information. In Experiment 2, the stimulus was presented upright initially, then presented again with a tilt. In Experiment 3, the order was reversed to separate the effects of implied direction and displacement. Results showed that all information of motion, implied direction, and displacement had some effect on postural control, although visual information of motion has been presumed to have a principal effect on postural control. Results suggested that the effects of implied direction might reflect an immediate processing of information. The effects of displacement and motion might reflect a continuous processing of information.     

专利联盟许可行为的博弈分析

专利联盟这一新的经济组织近年来引起了众多学者的关注。本文以Shapiro Carl(2000)的模型为基础,从博弈论的角度对互补性专利持有企业的许可行为进行了研究,并将其对产品市场的影响作了进一步的比较分析,研究表明:专利联盟内的协调、约束机制的存在是企业的获得较高许可收益的保证,并且联盟可以提高产品市场的均衡产量,降低单位产品的成本和价格,改善社会福利水平。     

Confidence intervals for quantile estimation using Jackknife techniques

We consider the inference on quantiles, Q _y (β), with jackknife techniques, in finite populations of a variable, Y, using the quantile information on an auxiliary variable, X. Jackknife techniques are applied to estimate quantiles and the behaviour of these estimators is analyzed. Their properties are studied for simple random sampling. We also examine the confidence intervals obtained with jackknife variances.     

The dynamics of a central spin in quantum Heisenberg XY model

In the thermodynamic limit, we present an exact calculation of the time dynamics of a central spin coupling with its environment at finite temperatures. The interactions belong to the Heisenberg XY type. The case of an environment with finite number of spins is also discussed. To get the reduced density matrix, we use a novel operator technique which is mathematically simple and physically clear, and allows us to treat systems and environments that could all be strongly coupled mutually and internally. The expectation value of the central spin and the von Neumann entropy are obtained.     

3-player repeated games with lack of information on one side

We study the existence of uniform equilibria for three-player repeated games with lack of information on one side and perfect observation. If there are only two states of nature, a completely revealing or a joint plan equilibrium always exists. This is not the case for larger spaces of states. Final version June 2001     

Storage of intense optical pulses in solids

Possibility to store optical information in media with fast relaxations is studied in case of arbitrary intensities of probe and control pulses. Analytical solution of the self-consistent system of equations for propagation and density matrix is obtained with allowance for the first non-stationary corrections. A new scheme of storage is proposed which allows an essential reduction of the optical length needed for storage.     

信息不对称下多因素波动的应急数量弹性契约

考虑突发事件导致市场需求大幅波动、市场价格随机波动,构建生产成本信息不对称时应急供应链的数量弹性契约模型,寻找最优定价及订货策略;与完全信息情形对比,分析突发事件的信息共享及其对供应链最优决策的影响程度。研究发现,在生产成本信息不对称情形下,突发事件发生时,虽然零售商设计的数量弹性契约可以有效体现真实生产成本,但对供应链协调不起作用。同时,如果市场需求规模缩减,制造商表现出隐藏信息行为,可以促使供应链整体效益增加。最后通过算例验证了这些结论。     

Quantum Fisher Information Gap for Systems with Nonlinear Hamiltonians

Quantum Fisher information(QFI) gap characterizes the stability of QFI to space directions. We study the QFI distributions and QFI gap for quantum states generated from nonlinear Hamiltonians for both spin and bosonic systems. We find that the same spin-squeezing parameter(or principle squeezing parameter) corresponds to two different values QFI gap, and the locations of all extreme points of the QFI are explicitly given.     

Randomized Runge–Kutta method — Stability and convergence under inexact information

We deal with optimal approximation of solutions of ODEs under local Lipschitz condition and inexact discrete information about the right-hand side functions. We show that the randomized two-stage Runge–Kutta scheme is the optimal method among all randomized algorithms based on standard noisy information. We perform numerical experiments that confirm our theoretical findings. Moreover, for the optimal algorithm we rigorously investigate properties of regions of absolute stability.