Introduction These notes essentially tie up a few loose ends in Lecture 8; in particular, I exhibit examples of inefficiencies in first- and second-price auctions. I would also like to briefly comment on Questions 1 and 2 in Problem Set 2 The first-price auction may be inefficient even with private values Both examples I am going to show are due to Eric Maskin(to the best of my knowledge) The first point I wish to make is that, even in a private-values setting, asymmetries may

Introduction This lecture presents the two main contributions of \interactive epistemology\to thethe- ory of normal-form games: a characterization of Nash equilibrium beliefs, and a full (i.e behavioral) characterization of rationalizability a review of the basic definitions For your convenience, I summarize the essential definitions pertaining to models of interactive

Introduction This lecture continues our analysis of games with payoff uncertainty. The three main objec- tives are: (1) to illustrate the flexibility of the Harsanyi framework (or our version thereof); (2)to highlight the assumptions implicit in the conventional usage of the framework, and the possible departures; (3) to discuss its potential problems, as well as some solutions to the latter

Introduction Nash equilibrium has undoubtedly proved to be the most influential idea in game theory. enabled fundamental breakthroughs in economics and the social sciences. Its development was a major intellectual achievement; what is perhaps more important, it Recent foundational research has emphasized the subtleties in the interpretation of Nash

Introduction The purpose of this lecture is to help you familiarize with the workings of sequential equi- librium and \sequential equilibrium lite, i.e. perfect Bayesian equilibrium. The main focus is the \reputation\ result of Kreps and Wilson(1982). You should refer to OR for details and definitions: I am following the textbook quite closely. of the game in which an incumbent faces a sequence of K (potential) entrants. It is clear that, in the subgame in which the last entrant gets a chance to play, the incumbent will

Introduction By and large, I will follow OR, Chapters 1l and 12, so I will keep these notes to a minimum. J 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 for payoff uncertainty

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 a 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 even subgame-perfect equilibrium On the other hand, it shows that essentially every individually rational payoff profile can

Introduction Beginning with this lecture, we focus our attention on dynamic games. The majority of games of economic interest feature some dynamic component, and most often payoff uncertainty as The analysis of extensive games is challenging in several ways. At the most basic level describing the possible sequences of events(choices) which define a particular game form is not problematic per se; yet, different formal definitions have been proposed, each with its Representing the players information as the play unfolds is nontrivial: to some extent

Logistics We(provisionally) meet on Tuesdays and Thursdays 10: 40a-12: 10p, in Bendheim 317. I will create a mailing list for the course. Therefore please send me email at your earliest convenience so I can add you to the list. You do not want to miss important announcements, do you? the course has a web page at http://www.princeton.edw

《大气污染控制工程》是高等院校环境工程专业 的主干学科,本科生专业必修课之一。本课程系 统地讨论大气污染控制工程的基本知识,大气污 染气象学基础知识,大气污染防治技术的基本理 论、基本概念、基本原理、主要设备和典型工艺 营等。培养学生分析和解决大气污染控制工程问题 §的基本能力,结合课程实验和毕业设计等教学环节 2为学生毕业后从事大气污染控制工程设计,技术管 理等工作奠定必要的基础。 §1-1 大气圈的构成及大气组成 §1-2 大气污染 §1~3 大气污染的危害 §1~4 大气污染与气象的关系 §1-5 大气污染防治途径 §1-6 大气环境质量控制标准