Adaptive competitive decision in repeated play of a matrix game with uncertain entries

This study is concerned with a game model involving repeated play of a matrix game with unknown entries; it is a two-person, zero-sum, infinite game of perfect recall. The entries of the matrix ((pij)) are selected according to a joint probability distribution known by both players and this unknown matrix is played repeatedly. If the pure strategy pair (i, j) is employed on day k, k = 1, 2, …, the maximizing player receives a discounted income of β^{k - 1} X_ij, where β is a constant, 0 ≤ β ? 1, and X_ij assumes the value one with probability p_ij or the value zero with probability 1 - p_ij. After each trial, the players are informed of the triple (i, j, X_ij) and retain this knowledge. The payoff to the maximizing player is the expected total discounted income. It is shown that a solution exists, the value being characterized as the unique solution of a functional equation and optimal strategies consisting of locally optimal play in an auxiliary matrix determined by the past history. A definition of an ?-learning strategy pair is formulated and a theorem obtained exhibiting ?-optimal strategies which are ?-learning. The asymptotic behavior of the value is obtained as the discount tends to one.     

On the minimization of a certain convex function arising in applied decision theory

The author, in an expository paper [4], has presented an algorithm for choosing a non-negative vector

     

Biomedical applications of simulated environments

Environmental physiology assumes great significance in our national context in view of the diverse climatic conditions prevailing in different regions. Troops have to operate in diverse environmental conditions guarding the frontiers. Hence, the research in this area has been focused on the usage of field studies in the natural environments or simulated environments in the laboratory. Besides, the application of the simulation chambers in the research on the physiological effects of diverse environments, these studies may have applications in the control and management of certain clinical disorders. Some simulation chambers and specialised set-ups have been designed and developed at the Defence Institute of Physiology and Allied Sciences to carry out simulation studies. This paper describes these developments and the potentials of these biomedical applications of simulated environments.     

一个新的组合恒等式及其证明

本文以定理的形式提出一个新的组合恒等式。它是在恒虚警算法研究和性能分析中经常遇到的恒等式。对此,文中给出详细的证明。在证明过程中,我们还提出了有关该定理在实际中可以直接应用的3个引理和2个推论。     

旋转稳定塑料弹体工程设计计算研究

本文以实验结果为依据,首先分析了塑料弹体影响弹丸膛内运动的物理性能,然后结合旋转弹丸的膛内运动特征,经过模拟试验,采用数学拟合法,初步建立旋转稳定弹塑料弹体工程设计计算的数学模型(包括结构尺寸设计计算、强度计算和内弹道计算)。     

‘Winston has gone mad’: Churchill,the British Admiralty,and the Rise of Japanese Naval Power

As Chancellor of the Exchequer during the late 1920s, Winston Churchill was at the center of British strategic decision making about how to respond to the naval challenge posed by Japan's rise as a rival sea power. Churchill downplayed the likelihood of war with Japan. The leadership of the Royal Navy disagreed: they saw Japan as a dangerous threat to the security of the British Empire. Examining this dispute between Churchill and the Admiralty highlights the awkward political, economic, and strategic tradeoffs confronting British leaders between the world wars.     

Troubled triangle: Russia,Ukraine and the United States

A potentially productive triangular arrangement among Russia, Ukraine, and the United States emerged in 1994 from efforts to constrain nuclear weapons diffusion. By 2001, this promising initiative was nearly moribund, owing to the inability or unwillingness of the parties to fulfill the commitments of subsequent agreements. The domestic and external causes of this failure are many and clear. Yet the advantages to each of reengaging in a trilateral relationship are also plain. This means fulfilling their unfinished agenda by learning from past mistakes, adopting realistic premises and goals, and pursuing ‘bottom up’ as well as ‘top down’ strategies.     

Iraq's role in the 1973 Arab‐Israeli War

The events of the 1973 Arab‐Israeli War serve as an early indicator of Iraqi leader Saddam Hussein's willingness to use military power to address foreign policy concerns. In that war, Iraq intervened on the Syrian front with an armored division, other supporting units, and over 100 aircraft. This intervention, which occurred despite severe political and military difficulties, was larger than any previous Iraqi contribution to the anti‐Israeli struggle. Baghdad later asserted that Iraqi forces had saved Damascus from possible Israeli occupation, and these claims have been widely repeated by a variety of authors of different nationalities with various degrees of agreement or skepticism. Nevertheless, Iraqi claims to have saved Damascus from Israeli capture are false since the Israelis did not view the seizure of the city as important to their strategy for victory. Rather, the Iraqi presence on the Golan Heights was useful to the Arab war effort as one of many factors helping to delay the Israeli advance and prevent some important Syrian targets from being placed within artillery range of the Israeli force. Iraqi military shortcomings were well highlighted in this conflict, and many were repeated in the early stages of the war with Iran.