一、马尔可夫过程当随机过程在t所处的状态为已知条件时,过程 在时刻ttr所处的状态仅与tx时的状态有关,而与t以前的状态无关,这 种随机过程为马尔可夫过程。 用分布函数来描述:若在条件Y(t)=(i1,2n)下的Y的分布函数恰 好等于条件Y(tn-=Yn-1下的分布函数,即 FYn; t, Yn-I Yn-... Y In-1 n-2..) =F(Yn; t, Yn-1; tn-1) 则称Y(t)为马尔可夫过程

Chapter 3 Kinematics I: rectilinear motion Motion implies change, and it is change make life-and physics-visible and interesting. Kinematics is the theory about the description of motion. Physical theories are creations of the human intellect; they must be invented rather than discovered

第7单元类和对象(I) 本单元教学目标 介绍面向对象程序设计方法的基本原理以及类和对象的概念。 教学要求 掌握面向对象的程序设计思想,类和对象的概念,以及类的声明方法和对象的引用

Social welfare function W: Rn-R gives social utility W(u1, u2,. un ). W is strictly increasing is socially optimal if it solves max Wu(a1), u2(a2),., un(n) st>Tis>w Proposition 1.29. If is SO, it is PO. I Proposition 1. 30. Suppose that preferences are continuous, strictly monotonic, and strictly convex. Then, for any PO allocation x* with >>0,v i, there exist ai

(1)i(p, u) is zero homogeneous in p (2) substitution matrix: Dpi(p, u)<0 (3)symmetric cross-price effects: 23i(p 2=2z(p, u) (4) decreasing:=n≤0

Unit 9 Are Dreams as Vital as sleep? I Objective Unders tanding \Dreams ts movement Aware some famous theories of dreams I Time arrangement Text:2 hour o Discussion: 0.5 hour Ⅲ Related Information History of Dreams

Eco514 Game Theory Lecture 12: Repeated Games(1) Marciano Siniscalchi October 26, 1999 Introduction [By and large, I will follow OR, Chap. 8, so I will keep these notes to a minimum.] The theory of repeated games is double-edged sword. On one hand, it indicates how payoff profiles that are not consistent with Nash equilibrium in a simultaneous-move game might be achieved when the latter is played repeatedly, in a manner consistent with Nash or

Theoretically speaking, the early-airport arrivals should be rewarded while the late airport ones should be punished. But this usually isnt the case. And there are such people who pay off their taxi only just before boarding, but still get their luggage first when landing. To my great embarrassment, early as I arrived, I

Eco514 Game Theory Lecture 14: General Extensive Games Marciano Siniscalchi November 10, 1999 Introduction [By and large, I will follow OR, Chapters 11 and 12, so I will keep these notes to a minimum.] Games with observed actions and payoff uncertainty Not all dynamic models of strategic interaction fit within the category of games with observed actions we have developed in the previous lectures. In particular, no allowance was made

Unit 1 Book Three Unit One Section A The Expensive Fantasy of lord williams I Greetings I Review. 1. Key words section A: survival, sorrow, ancient, endure, channel, invade, surrender, historic, cast crash, commuter, suburb, resolution, exhaust, rescue, wreckage, decent section B: innocent, drift, mere, explode, expose, sector, layout, sway, uneasy, heal glimpse, flesh, heir