查询词典 utility function

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

Chapter six presents such new concepts as margin utility contribution force, profit-risk exchange rate, state-expectation-variance utility function, long-term expectation-variance utility curve and optimal portfolio expansion curve. The state-expectation-variance analytical method is developed from the expectation-variance analytical method. The changing rate of profit-risk exchange rate to state variable is used to define and distinguish the decreasing, constant and increasing relative risk aversion. A decomposition formula about the margin contribution force of holding wealth to state-expectation-variance utility function is displayed. The decomposition formula demonstrates that the contribution force of investors' holding wealth to their utility is composed of the pure contribution force of holding wealth and the investment contribution force bronght about through investment portfolio.

第六章提出了边际效用贡献力、收益—风险替换率、状态—期望—方差效用函数、长期期望—方差效用曲线、最优证券组合扩展线等新概念；把期望—方差分析方法发展成状态—期望—方差分析方法；用收益—风险替换率对状态变量ω的变化率来定义和区分递减、定常、递增相对风险厌恶；获得了持有财富对状态—期望—方差效用函数的边际贡献力的分解式，该分解公式表明投资者的持有财富对他的效用的贡献力由持有财富本身的纯贡献力和持有财富通过投资证券组合所产生的投资贡献力所组成。

Through assuming the income is the function to the individual effort and the educational investment in the growth period, endogen the income into the model, and add the spiritual utility that brought by education level of three generations and the cost of individual effort into the utility function, thus more deeply analyze the problem of family education choice under the intergenerational transfer and intergenerational utility.

通过设定收入是成长期个人努力和教育投入的函数，把收入内生到模型中，并在效用函数中加入三代人的教育水平带来的精神效用，以及个人努力的成本，从而更深入的分析了存在代际转移和代际效用的家庭教育选择问题。

Firstly, we analyze the constituting of a manager utility. We lead the reputation that is regarded inexplicit incentive into the manger's utility function.

首先，分析了经理效用的组成，将声誉这个隐性激励因素引入经理的效用函数。

On the base of it,literature [26]、[27] introduced Euro-pean option pricing with logarithmic utility and power utility function which isadopted by the agent.

在此基础上文献[26]、[27]介绍了不完全信息情况下，代理人的效用函数分别是对数效用函数和幂函数时的欧式期权定价公式。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

A node payoff function which involved of utility function and cost function is modeled in the algorithm and the transmitting power vector is obtained by parallel update. It is proved that the sensor network can reach Nash Equilibrium with this transmitting power vector, and in this situation all the nodes' payoff function is maximized.

在算法中为传感器节点构造包含效用函数和代价函数的支付函数模型，通过并行迭代的方式获得网络功率控制的纳什均衡策略，使所有节点的支付函数达到最优化。

Unified field, mixed extension principle, optimal strategy solution of the games, utility function and utility functional, pure strategy, mixed strategy

统一场，混合扩充原理，博弈的最优策略解，效用函数与效用泛函，纯策略，混合策略

This paper presents the portfolio selection problem of two-attribute money and creates a model of portfolio selection based on two-attribute money, which can both contain the existing portfolio models and overcome the above-mentioned deficiencies. A series of new concepts is put forward, such as, holding wealth, obtainable wealth, short-term utility function, short-term expectation-variance utility function, state-expectation-variance utility function, short-term expectation-variance utility curve, long-term expectation-variance utility curve, margin utility contribution force, additional contribution force, profit-risk exchange rate and optimal portfolio expansion curve; The state-expectation-variance analytical method is developed from the expectation-variance analytical method; A set of systematic theories concerning two-attribute portfolio selection is thus established.

本文提出了两属性货币的证券组合选择问题；创建了既能包含现有证券组合选择模型又能克服上述两点不足的两属性证券组合选择模型；提出了持有财富、可获财富，短期效用函数，短期期望—方差效用函数、状态—期望—方差效用函数，短期期望—方差效用曲线、长期期望—方差效用曲线，边际效用贡献力，附加贡献力，收益—风险替换率，最优证券组合扩展线等一系列新概念；把期望—方差分析方法发展成状态—期望—方差分析方法；建立了两属性证券组合选择模型的一套系统的理论。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。