产品替代性程度与企业共谋合作关系的研究

通过建立重复博弈数学模型,从数量上研究了产品替代性程度与企业长期共谋合作之间的关系.研究结果表明:在线性需求条件下,产品替代性程度增加,企业长期共谋合作相对比较困难,但是从总体上看,产品替代性程度对企业间长期是否共谋合作的影响很小.本文研究结果可为政府当前正在准备反垄断法的制订工作提供一定的理论支持.     

Semi-marginalistic Values for Set Games

Concerning the solution theory for set games, the paper focuses on a family of values, each of which allocates to any player some type of marginalistic contribution with respect to any coalition containing the player. For any value of the relevant family, an axiomatization is given by means of three properties, namely one type of an efficiency property, the equal treatment property and one type of a monotonicity property. We present one proof technique which is based on the decomposition of any arbitrary set game into a union of simple set games, the value of which are much easier to determine. A simple set game is associated with an arbitrary, but fixed item of the universe.     

企业人力资本所有者与所有权安排的博弈分析

我们利用博弈论的基本思想和基本方法，从人力资本所有与非人力资本所有以及人力资本所有之间博弈关系的角度，构建企业人力资本所有与所有权安排的博弈模型，从博弈的视角对企业人力资本所有与所有权安排进行分析，探究企业人力资本所有与所有权安排中参与人之间的合约关系，给出一个关于企业人力资本所有分享所有权的一般性解释。     

Effects of average degree on cooperation in networked evolutionary game

We study effects of average degree on cooperation in the networked prisoner's dilemma game. Typical structures are considered, including random networks, small-world networks and scale-free networks. Simulation results show that the average degree plays a universal role in cooperation occurring on all these networks, that is the density of cooperators peaks at some specific values of the average degree. Moreover, we investigated the average payoff of players through numerical simulations together with theoretical predictions and found that simulation results agree with the predictions. Our work may be helpful in understanding network effects on the evolutionary games.     

A stopping game in a stochastic and fuzzy environment

A zero-sum stopping game for a sequence of fuzzy-valued random variables is discussed. The fuzzy random variables are estimated by probabilistic expectation and fuzzy expectation. A saddle point is given for the stopping game.     

Wythoff''s sequence and -Heap Wythoff''s conjectures

Define a Wythoff's sequence as a sequence of pairs of integers (A_n,B_n) _n>n0 such that there exists a finite set of integers T, A_n=mex( A_i,B_i:i<n T), B_n-A_n=n, and B_n ∩T=. Structural properties and behaviors of Wythoff's sequence are investigated. The main result is that for such a sequence, there always exists an integer α such that when n is large enough, |A_n-nφ-α|1, where , the golden section. The value of α can also be easily determined by a relatively small number of pairs in the sequence. As a corollary, the two conjectures on the N-heap Wythoff's game by Fraenkel [Complexity, appeal and challenges of combinatorial Games, Theoret. Comput. Sci. 313 (2004) 393–415] on the N-heaped Wythoff's game are proved to be equivalent.     

Combinatorics of open covers (XI): Menger- and Rothberger-bounded groups

We examine Menger-bounded (=o-bounded) and Rothberger-bounded groups. We give internal characterizations of groups having these properties in all finite powers (Theorems 6 and 7, and Theorem 15). In the metrizable case we also give characterizations in terms of measure-theoretic properties relative to left-invariant metrics (Theorems 12 and 19). Among metrizable σ-totally bounded groups we characterize the Rothberger-bounded groups by the corresponding game (Theorem 22).     

Solutions of system of generalized vector quasi-equilibrium problems in locally G-convex uniform spaces

In this paper we establish a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally G-convex uniform spaces. As applications, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are derived in product locally G-convex uniform spaces. These theorems are new and generalize some known results in the literature.     

集群搜索-规避对抗对策的概念和性质

讨论了集群搜索-规避对抗对策的概念，明确了对策双方的策略与最优策略的定义，给出了对策的支付函数及对策的解，讨论了最优策略及对策值的存在性。     

基于和谐发展的政府主管部门与旅游开发商博弈分析

在构建和谐旅游的过程中，政府主管部门与旅游开发商之间在面对公共资源的保护与监督方面存在着博弈关系。通过对其静态博弈模型和动态博弈模型的分析研究，认为在构建和谐旅游的过程中，博弈各方参与人应该共同合作，严格履行各自职责，统筹各种社会资源，综合解决社会协调发展问题。