在探讨中纠正对拋硬币游戏的一个错误认知

通过对一个抛硬币游戏的深入探讨,纠正了一个错误认知,增强了对概率知识的理解.     

Evolutionary Prisoner＇s Dilemma Game Based on Division of Work

We propose a new two-type-player prisoner＇s dilemma game based on the division of work on a square lattice, in which a fraction of the population μ are assigned type A and the rest B. In a one-shot two-player game, we let both of their original payoffs be scaled by a same multiplicative factor α 〉 1, if two neighboring players are of different types; however we leave the payoffs unchanged if they are of the same type. Then we show that combined with the two-type setup, the square lattice can assist to induce different social ranks according to players＇ abilities to collect payoffs. Simulation results show that the density of cooperation is significantly promoted for a wide range of the temptation to defection parameters and that there are optimal values for both α and μ leading to the maximal cooperation level. We reach these results by analyzing the distribution of the players in the social ranks and we also show some typical snapshots of the system.     

冬日的硬币游戏

周末天气非常好，虽然北风清冷，但冬日暖阳亮晃晃的，呼吸一下都觉得吸进了阳光的甜香。     

数学游戏中的“对称思想”

一些数学游戏,如果我们能领会到其中包含的"对称"思想,那么在操作中只要充分的利用它,就会获得胜利.请看几例:例1在一圆形桌面上,甲乙轮流地、不重叠地放一枚一枚圆硬币,开始放不下的一方为败,讨论甲获胜的策略.     

速算立方根有妙法

小明与小愚是一对数学迷,更是一对好朋友,课余时间他们经常在一起探讨有趣的数学问题.这不,一天放学回家的路上,他们又玩起了有趣的速算立方根的数学游戏.小愚对小明说:"我们学过了立方根以后,我通过认真的研究,找到速算立方根的快速、巧妙方法,只要你告诉我任意一个两位数立方     

探索扫雷游戏中的数学奥秘

游戏主区域由很多个方格组成，方格的种类有三种，（1）空白的；（2）有数字的；（3）没有打开的．空白的方格表示它周嗣的8个方格中没有地雷；有数字的方格表示它周围的8个方格中含有地雷的个数；没打开的方格表示其中可能有地雷，也可能没有地雷．扫雷就是要把所有非地雷的格子揭开即胜利；踩到地雷格子就算失败．     

预算不是数字游戏

这是一个预算的年代,如果企业不谈预算,难免会沦为＂OUT＂的境地。但企业真正将预算落到实处,这却是一个＂问题＂。有这样一个案例：一家制造企业客户进行预算体系的优化和提升,发现企业的预算管理铺得很开,涉及的范围、人员很多,     

正确评价物理课堂的“静”

随着课程改革的推进,"教师的教"和"学生的学"的理念和方式都有了质的转变.小组讨论、合作学习、游戏竞赛、实践操作成为课堂教学的重要"元素",学生的学习兴趣和参与热情被充分调动起来.     

绝对不可能的扑克牌

嗨，亲爱的同学们，你能准确地猜出一副牌中某张牌的花色和数字吗？什么，这绝对不可能？嘿嘿，今天俺贝卡就要向大家展示这不可思议的魔术。     

Bifurcations and chaos in a nonlinear discrete time Cournot duopoly game

A nonlinear discrete time Cournot duopoly game is investigated in this paper. The conditions of existence for saddle-node bifurcation, transcritical bifurcation and flip bifurcation are derived using the center manifold theorem and the bifurcation theory. We prove that there exists chaotic behavior in the sense of Marotto＇s definition of chaos. The numerical simulations not only show the consistence with our theoretical analysis, but also exhibit the complex but interesting dynamical behaviors of the model. The computation of maximum Lyapunov exponents confirms the theoretical analysis of the dynamical behaviors of the system.