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全对策是定义在局中人集合的所有分划集上的一类特殊合作对策.本文在效用可转移情形下研究全对策的"值"问题.定义了全对策的边际贡献值,得出全对策的Shapley值,以及具有某些性质的值是边际贡献值,并给出两种边际贡献值的具体表达式,及其一些性质. 相似文献
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The interval Shapley-like value for cooperative interval games was introduced by Han et al. (2012).A theorem of characterization of the interval Shapley-like value was provided in that paper. We show that there is an error in the proof of that theorem. We indicate how to avoid this error and complete the proof. 相似文献
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The class of microarray games and the relevance index for genes 总被引:2,自引:1,他引:1
Nowadays, microarray technology is available to generate a huge amount of information on gene expression. This information
must be statistically processed and analyzed, in particular, to identify those genes which are useful for the diagnosis and
prognosis of specific diseases. We discuss the possibility of applying game-theoretical tools, like the Shapley value, to
the analysis of gene expression data.
Via a “truncation” technique, we build a coalitional game whose aim is to stress the relevance (“sufficiency”) of groups of
genes for the specific disease we are interested in. The Shapley value of this game is used to select those genes which deserve
further investigation. To justify the use of the Shapley value in this context, we axiomatically characterize it using properties
with a genetic interpretation.
The authors are grateful to two anonymous referees for their extremely helpful comments.
An earlier version of this paper was presented at the VI Spanish Meeting on Game Theory and Practice, July 12–14, 2004, Elche,
Spain.
S. Moretti gratefully acknowledges the financial support of the EU project NewGeneris, European Union 6th FP (FOOD-CT-2005-016320). 相似文献
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In this paper, we introduce a new class of nonsmooth convex functions called SOS-convex semialgebraic functions extending the recently proposed notion of SOS-convex polynomials. This class of nonsmooth convex functions covers many common nonsmooth functions arising in the applications such as the Euclidean norm, the maximum eigenvalue function and the least squares functions with ? 1-regularization or elastic net regularization used in statistics and compressed sensing. We show that, under commonly used strict feasibility conditions, the optimal value and an optimal solution of SOS-convex semialgebraic programs can be found by solving a single semidefinite programming problem (SDP). We achieve the results by using tools from semialgebraic geometry, convex-concave minimax theorem and a recently established Jensen inequality type result for SOS-convex polynomials. As an application, we show that robust SOS-convex optimization proble ms under restricted spectrahedron data uncertainty enjoy exact SDP relaxations. This extends the existing exact SDP relaxation result for restricted ellipsoidal data uncertainty and answers an open question in the literature on how to recover a robust solution of uncertain SOS-convex polynomial programs from its semidefinite programming relaxation in this broader setting. 相似文献
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Hervé Fournier Danièle Gardy Antoine Genitrini Bernhard Gittenberger 《Random Structures and Algorithms》2012,40(3):317-349
We consider the logical system of Boolean expressions built on the single connector of implication and on positive literals. Assuming all expressions of a given size to be equally likely, we prove that we can define a probability distribution on the set of Boolean functions expressible in this system. Then we show how to approximate the probability of a function f when the number of variables grows to infinity, and that this asymptotic probability has a simple expression in terms of the complexity of f. We also prove that most expressions computing any given function in this system are “simple”, in a sense that we make precise. The probability of all read‐once functions of a given complexity is also evaluated in this model. At last, using the same techniques, the relation between the probability of a function and its complexity is also obtained when random expressions are drawn according to a critical branching process. © 2011 Wiley Periodicals, Inc. Random Struct. Alg., 2011 相似文献
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一类非线性拟变分不等式及其应用 总被引:1,自引:1,他引:0
本义研究了如下变分不等式问题:求u∈M使得a(u,v-u)+〈Gu,v-u〉≥(f,v-u),(?)u∈M.并将所得结论应用于二阶半线性椭圆型边值问题的求解. 相似文献
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根据向量值全纯函数和亚纯函数的理论,由向量值Plemelj公式,讨论一类局部凸空间中具有ζ-函数核的奇异积分方程与边值问题的关系,给出向量值奇异积分方程和边值问题的解及其稳定性. 相似文献
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需求价格弹性与边际收益研究 总被引:1,自引:0,他引:1
研究特定需求价格弹性条件下需求函数的确定问题和特定边际收益条件下需求函数的确定问题,并给出了有关的计算公式.研究结果表明,为了实现既定的需求价格弹性或边际收益,对应的需求函数有无穷多个. 相似文献
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本文在研究了边际效用函数的一般性质后给出了一种具体形式 ,并对此作出具体分析 ,同时对风险投资分散化、投机、保险作了可以增加效用的量化解释。 相似文献
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一类对称函数的Schur凸性及其应用 总被引:1,自引:0,他引:1
吴善和 《数学的实践与认识》2004,34(12):162-172
给出一类对称函数 Schur凸性的推广 ,运用该结果并结合控制不等式理论建立若干对称函数不等式及 n维欧氏空间 En中的单形不等式 ,所得结果是以往某些结果的推广或补充 . 相似文献
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Let H = uq(sl(2)) or u(sl(2)). By means of the standard basis of polynomial algebras, the Glebsch-Gordan formula and quantum Clebsch-Gordan formula are proved by a unified method, and the explicit formula of the decomposition of V(1)^n into the direct sum of simple modules is given in this paper. 相似文献
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Abstract
In this paper, we introduce the concept of the G class of functions of the parabolic class, and show the H?lder continuity of the G class of functions. The introduction of this concept contributes to the proof of the regularity and existence of the solution
for the first boundary problem of parabolic equation in divergence form.
Project supported by NNFC (79790130) and ZJPNFC(198013) and STDF of Shanghai 相似文献
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亚纯函数理论的一个基本不等式及其应用 总被引:9,自引:0,他引:9
本文首先证明了关于亚纯函数理论的一个基本不等式,进而用此不等式研究了与Hayman的一个结果密切相关的一类亚纯函数的值分布问题,得到如下结果:如果 f是一个超越亚纯函数,其所有零点的重数至少为k,则函数ff(k)取每一个有穷非零复数无穷多次,至多除去三个可能的例外正整数k=2,3,4. 相似文献
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