Introduction One of the merits of the notion of sequential equilibrium is the emphasis on out-of- equilibrium beliefs-that is, on beliefs (about past and future play)at information sets that should not be reached if given equilibrium is played. The key insight of extensive-form analysis is that out-of-equilibrium beliefs deter

Introduction This lecture, as well as the next, exemplify applications of the framework and techniques developed so far to problems of economic interest. Neither lecture attempts to cover the example applications in any generality, of course; you may however find these topics of sufficient interest to warrant further study Auction theory is generally indicated as one of the \success stories\of game theory There is no doubt that the game-theoretic analysis of auctions has informed design decisions

Introduction This lecture focuses on the interpretation of solution concepts for normal-form games. You will recall that, when we introduced Nash equilibrium and Rationalizability, we mentioned numerous reasons why these solution concepts could be regarded as yielding plausible restric- tions on rational play, or perhaps providing a consistency check for our predictions about

The vast majority of games of interest in economics, finance, political economy etc. involve some form of payoff uncertainty. A simple but interesting example is provided by auctions: an object is offered for sale, and individuals are required to submit their bids in sealed envelopes. The object is then allocated to the highest bidder at a price which depends on every bid, according to some prespecified rule (e.g. \first-price\ or \second-price\rule). In

Introduction This lecture continues the analysis of normal-form games. We analyze general, non-zerosum games, emphasizing the informal\equation\: Rational Behavior+ Assumptions about Beliefs=Solution Concepts Before we tackle the new material, let us review what we have learned about zerosum

Introduction The theory of extensive games is built upon a key notion, that of sequential rationality, and a key insight, the centrality of off-equilibrium beliefs. The definition of sequential equilibrium brings both to the fore in a straightforward manner, and emphasizes their interrelation

Introduction [Again, by and large, I will follow OR, Chap. 8, so I will keep these notes to a minimum. Review of key definitions Recall our three payoff aggregation criteria: discounting, i.e (u2)≥1>(2 (also recall that the payoff profile corresponding to a stream (ut)is taken to be(1 8)2t18t-u(a)); limit of means

Introduction The notion of subgame perfection is the cornerstone of the theory of extensive games. It embodies its key intuitions-and provides a vivid example of the difficulties inherent in such a theor But, above all, it has proved to be extremely profitable in a variety of applications. More- over, it has spawned a huge theoretical literature which has attempted(often successfully

1. Game Theory Multiperson Decision Theory Zero-Sum games Marciano siniscalchi September 16, 1999 administrative stuff Class: Tue-Thu 10: 40-12: 1021, Room 317, Bendheim. OH, by appointment The big picture Most of you will already have used some of the tools of GT in your core courses You will probably be familiar with the

一、囚徒困境与谈判者的困境 二、谈判者的三种风格 三、竞争转向合作 四、应对红色博弈者的策略