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 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 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 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 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

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