共查询到20条相似文献,搜索用时 15 毫秒
1.
T. L. Vincent 《Journal of Optimization Theory and Applications》1985,46(4):605-612
This paper deals with a mathematical game. As the name implies, the game concept is formulated with biological evolution in mind. An evolutionary game differs from the usual game concepts in that the players cannot choose their strategies. Rather, the strategies used by the players are handed down from generation to generation. It is the survival characteristics of a strategy that determine the outcome of the evolutionary game. Players interact and receive payoffs according to the strategies they are using. These interactions, in turn, determine the fitness of players using a given strategy. The survival characteristics of strategy are determined directly from the fitness functions. Necessary conditions for determining an evolutionarily stable strategy are developed here for a continuous game. Results are illustrated with an example.Dedicated to G. LeitmannThis work was supported by NSF Grant No. INT-82-10803 and The University of Western Australia (Visiting Fellowship, Department of Mathematics, 1983). 相似文献
2.
有限理性条件下演化博弈行为分析 总被引:2,自引:0,他引:2
基于博弈双方有限理性的假设,运用动力系统的相关理论和方法对一般2×2非对称演化博弈过程建立了动态复制方程,并对博弈双方在演化过程中的行为进行了分析,得出博弈双方交互系统均衡点及稳定性相应的结论及其全部动力学行为. 相似文献
3.
We provide a classification of symmetric three-player games with two strategies and investigate evolutionary and asymptotic stability (in the replicator dynamics) of their Nash equilibria. We discuss similarities and differences between two-player and multi-player games. In particular, we construct examples which exhibit a novel behavior not found in two-player games.Received October 2001/Revised May 2003 相似文献
4.
研究包含生产同质电力产品的两组 (种群 )企业——低成本发电企业和高成本发电企业的发电侧电力市场的长期均衡问题 .应用演化博弈论的有限种群演化稳定战略概念 ,证明了有限种群的演化稳定战略产量分别等于两组 (种群 )企业的竞争产量 .通过建立基于企业战略模仿和试验的随机演化模型 ,分析了发电侧电力市场长期均衡的演化过程 . 相似文献
5.
Antonio Di Nola Vincenzo Loia Antonino Staiano 《Fuzzy Optimization and Decision Making》2002,1(2):195-219
Fuzzy c-means clustering algorithm (FCM) can provide a non-parametric and unsupervised approach to the cluster analysis of data. Several efforts of fuzzy clustering have been undertaken by Bezdek and other researchers. Earlier studies in this field have reported problems due to the setting of optimum initial condition, cluster validity measure, and high computational load. More recently, the fuzzy clustering has benefited of a synergistic approach with Genetic Algorithms (GA) that play the role of an useful optimization technique that helps to better tolerate some classical drawbacks, such as sensitivity to initialization, noise and outliers, and susceptibility to local minima. We propose a genetic-level clustering methodology able to cluster objects represented by R
p
spaces. The unsupervised cluster algorithm, called SFCM (Spatial Fuzzy c-Means), is based on a fuzzy clustering c-means method that searches the best fuzzy partition of the universe assuming that the evaluation of each object with respect to some features is unknown, but knowing that it belongs to circular regions of R
2 space. Next we present a Java implementation of the algorithm, which provides a complete and efficient visual interaction for the setting of the parameters involved into the system. To demonstrate the applications of SFCM, we discuss a case study where it is shown the generality of our model by treating a simple 3-way data fuzzy clustering as example of a multicriteria optimization problem. 相似文献
6.
超速驾驶行为的进化博弈分析 总被引:3,自引:0,他引:3
余孝军 《数学的实践与认识》2009,39(11)
针对交通管理中经常要面对的超速驾驶行为,建立了驾驶员群体之间以及驾驶员群体与交管部门之间的博弈模型及其复制动态方程,并对动态方程做了分析与讨论,得出了博弈模型中各博弈方的进化稳定策略,提出了一些控制和减少超速行为的合理建议. 相似文献
7.
A generalization of the Roy-Gallai Theorem on the chromatic number of a graph is derived which is also an extension of several
other results of Berge and of Li. A simple inductive proof is given which provides a direct way of deriving the Theorem of
Li. We also show that some classical results valid for optimal colorings cannot be transposed to suboptimal colorings. We
finally investigate some elementary properties which are also valid in suboptimal colorings.
AMS classification:
05C15, 05C38 相似文献
8.
在危机管理和冲突分析中,力量对等冲突方之间的相互威慑是否具有稳定性问题,一直存在疑义。本文基于进化博弈论视野,给出了直接求解3×3和4×4鹰—鸽博弈扩展模型进化稳定策略ESS(EvolutionaryStableStrategy)的方法,画出了3×3鹰—鸽扩展博弈的相位图,得出了威慑策略是进化稳定策略的结论,从而对上述问题进行了有说服力的解释。 相似文献
9.
基于进化博弈视角的水源地与下游生态补偿合作演化分析 总被引:3,自引:0,他引:3
水源地与下游地方政府之间的协议合作可以协调流域上下游之间的矛盾和利益,是一种可实现流域生态保护良性循环的生态补偿尝试。本文应用进化博弈的双种群博弈理论,研究了水源地和下游地方政府之间博弈演化过程及影响因素。研究表明,流域上下游地方政府合作的演化方向主要受水源地不保护及下游不补偿受到的惩罚、下游对水源地的补偿额度、水源地和下游合作的初始成本、水源地生态保护的成本及收益等八个因素的影响。降低水源地的保护成本及水源地和下游合作的初始成本,提高水源地因保护而获得的综合效益、提高水源地不保护及下游不补偿受到的惩罚额度、合理确定下游对水源地的补偿额度将有利于水源地生态补偿机制向合作方向演进。 相似文献
10.
Maciej P. Denkowski 《Journal of Mathematical Analysis and Applications》2011,378(2):592-602
We prove a definable/subanalytic version of a useful lemma, presumably due to John Nash, concerning the points realizing the Euclidean distance to an analytic submanifold of Rn. We present a parameter version of the main result and we discuss the properties of the multifunction obtained. 相似文献
11.
More on P-Stable Convex Sets in Banach Spaces 总被引:2,自引:0,他引:2
We study the asymptotic behavior and limit distributions for sums S
n =bn
-1 i=1
n i,where
i, i 1, are i.i.d. random convex compact (cc) sets in a given separable Banach space B and summation is defined in a sense of Minkowski. The following results are obtained: (i) Series (LePage type) and Poisson integral representations of random stable cc sets in B are established; (ii) The invariance principle for processes S
n(t) =bn
-1 i=1
[nt] i, t[0, 1], and the existence of p-stable cc Levy motion are proved; (iii) In the case, where
i are segments, the limit of S
n is proved to be countable zonotope. Furthermore, if B = R
d
, the singularity of distributions of two countable zonotopes Yp
1, 1,Yp
2, 2, corresponding to values of exponents p
1, p
2 and spectral measures
1,
2, is proved if either p
1 p
2 or
1
2; (iv) Some new simple estimates of parameters of stable laws in R
d
, based on these results are suggested. 相似文献
12.
截集形式的模糊粗糙集及其性质 总被引:2,自引:0,他引:2
用模糊集的截集构造了模糊集的粗糙集,给出了模糊粗糙集的更加严格的数学定义,证明了与文[1]中的等价性,并用新的定义给出模糊粗糙集的相应性质. 相似文献
13.
K. Gowri Navada 《Proceedings Mathematical Sciences》1995,105(3):281-285
We give an estimate for the number of elements in the intersection of topological Sidon sets inR
n with compact convex subsets and deduce a necessary and sufficient conditions for an orbit of a linear transformation ofR
n to be a topological Sidon set. 相似文献
14.
In matching theory, barrier sets (also known as Tutte sets) have been studied extensively due to their connection to maximum matchings in a graph. For a root θ of the matching polynomial, we define θ-barrier and θ-extreme sets. We prove a generalized Berge-Tutte formula and give a characterization for the set of all θ-special vertices in a graph. 相似文献
15.
Soft set theory, originally proposed by Molodtsov, has become an effective mathematical tool to deal with uncertainty. A type-2 fuzzy set, which is characterized by a fuzzy membership function, can provide us with more degrees of freedom to represent the uncertainty and the vagueness of the real world. Interval type-2 fuzzy sets are the most widely used type-2 fuzzy sets. In this paper, we first introduce the concept of trapezoidal interval type-2 fuzzy numbers and present some arithmetic operations between them. As a special case of interval type-2 fuzzy sets, trapezoidal interval type-2 fuzzy numbers can express linguistic assessments by transforming them into numerical variables objectively. Then, by combining trapezoidal interval type-2 fuzzy sets with soft sets, we propose the notion of trapezoidal interval type-2 fuzzy soft sets. Furthermore, some operations on trapezoidal interval type-2 fuzzy soft sets are defined and their properties are investigated. Finally, by using trapezoidal interval type-2 fuzzy soft sets, we propose a novel approach to multi attribute group decision making under interval type-2 fuzzy environment. A numerical example is given to illustrate the feasibility and effectiveness of the proposed method. 相似文献
16.
J. A. Cuesta-Albertos C. Matrán J. Rodríguez-Rodríguez 《Journal of Theoretical Probability》2003,16(2):363-376
Let P be a probability distribution on
d
and let
be the family of the uniform probabilities defined on compact convex sets of
d
with interior non-empty. We prove that there exists a best approximation to P in
, based on the L
2-Wasserstein distance. The approximation can be considered as the best representation of P by a convex set in the minimum squares setting, improving on other existent representations for the shape of a distribution. As a by-product we obtain properties related to the limit behavior and marginals of uniform distributions on convex sets which can be of independent interest. 相似文献
17.
On the basis of the Kharitonov theorem, sufficient conditions on an
matrix A are presented for the matrix
to be stable for arbitrary
,
. 相似文献
18.
19.
Wan Zhaoze 《数学学报(英文版)》1998,14(4):535-540
Using the method presented in [1], we obtain some new results which improve on the result of MacFarland's theorem (see [2])
in this case. 相似文献
20.
The subject of this paper is to study the problem of the minimum distance to the complement of a convex set. Nirenberg has stated a duality theorem treating the minimum norm problem for a convex set. We state a duality result which presents some analogy with the Nirenberg theorem, and we apply this result to polyhedral convex sets. First, we assume that the polyhedral set is expressed as the intersection of some finite collection of m given half-spaces. We show that a global solution is determined by solving m convex programs. If the polyhedral set is expressed as the convex hull of a given finite set of extreme points, we show that a global minimum for a polyhedral norm is obtained by solving a finite number of linear programs. 相似文献