WORLD SCIENTIFIC SERIES IN ECONOMIC THEORY – serie

This volume brings together the collected contributions of Dirk Bergemann and Juuso Välimäki, on the theme of learning, experimentation and intertemporal incentives, spanning over two decades of thought (1996 to 2019).The collection starts with a comprehensive introduction to the recent developments of dynamic mechanism design with a primary focus on the quasilinear case. The authors describe socially optimal and revenue optimal dynamic mechanism. They cover models of sequential screening and revenue maximizing auctions with dynamically changing bidder types, and also discuss models of information management where the mechanism designer can control (at least partially) the stochastic process governing the agent's types.Consolidating the research agenda on learning, experimentation, and dynamic mechanism design, which has been prominent in the area of economic theory, the authors present for the first time the main results of the research agenda in this volume.

Robert Aumann was awarded (jointly with Thomas C Schelling) the 2005 Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel "for having enhanced our understanding of conflict and cooperation through game-theory analysis". This book contains ten of his most important contributions to game theory, as selected by Eric Maskin, also a Nobel laureate.

Robert J Aumann has received numerous prizes, including the Nobel Memorial Prize in Economic Sciences for 2005.With his 1976 paper, "Agreeing to Disagree", Robert Aumann pioneered the subject of interactive epistemology: the study of what people know, and what they know about what others know. Since then, the discipline has burgeoned enormously. This book documents Aumann's work leading to the 1976 paper and his subsequent contributions to the discipline. The scientific controversies emanating from his work are also included.

This book brings together the authors' joint papers from over a period of more than twenty years. The collection includes seven papers, each of which presents a novel and rigorous model in Economic Theory.All of the models are within the domain of implementation and mechanism design theories. These theories attempt to explain how incentive schemes and organizations can be designed with the goal of inducing agents to behave according to the designer's (principal's) objectives. Most of the literature assumes that agents are fully rational. In contrast, the authors inject into each model an element which conflicts with the standard notion of full rationality, demonstrating how such elements can dramatically change the mechanism design problem.Although all of the models presented in this volume touch on mechanism design issues, it is the formal modeling of bounded rationality that the authors are most interested in. A model of bounded rationality signifies a model that contains a procedural element of reasoning that is not consistent with full rationality. Rather than looking for a canonical model of bounded rationality, the articles introduce a variety of modeling devices that will capture procedural elements not previously considered, and which alter the analysis of the model.The book is a journey into the modeling of bounded rationality. It is a collection of modeling ideas rather than a general alternative theory of implementation.

The book presents an axiomatic approach to the problems of prediction, classification, and statistical learning. Using methodologies from axiomatic decision theory, and, in particular, the authors' case-based decision theory, the present studies attempt to ask what inductive conclusions can be derived from existing databases. It is shown that simple consistency rules lead to similarity-weighted aggregation, akin to kernel-based methods. It is suggested that the similarity function be estimated from the data. The incorporation of rule-based reasoning is discussed.

Foreword by Eric Maskin (Nobel Laureate in Economics, 2007)This book is a collection of articles written by the two authors on the topic of equality of opportunity. All articles build on the idea that a just society should equalize the resources that determine the opportunities agents face in order to follow their goals. Resources are either external, like financial resources, or internal, like preferences or skills. The authors propose to define “equality of opportunity” as the combination of ethical principles of compensation and responsibility. The principle of compensation requires external resources to be used to compensate low-skilled agents (considering that inequalities due to skill differences are unjust). The principle of responsibility requires external resources to be allocated without regards to inequalities due to differences in preferences (considering that these inequalities are not unjust). The articles present different ways of combining the two principles in different economic contexts.The book offers many possible aspects of the analysis of equality of opportunity, ranging from axiomatic discussions in abstract compensation models, to the design of redistribution policies in concrete labor income taxation models.

Foreword by Eric Maskin (Nobel Laureate in Economics, 2007)This volume brings together the collected contributions on the theme of robust mechanism design and robust implementation that Dirk Bergemann and Stephen Morris have been working on for the past decade. The collection is preceded by a comprehensive introductory essay, specifically written for this volume with the aim of providing the readers with an overview of the research agenda pursued in the collected papers.The introduction selectively presents the main results of the papers, and attempts to illustrate many of them in terms of a common and canonical example, namely a single unit auction with interdependent values. It is our hope that the use of this example facilitates the presentation of the results and that it brings the main insights within the context of an important economic mechanism, namely the generalized second price auction.

This volume collects almost two decades of joint work of Sergiu Hart and Andreu Mas-Colell on game dynamics and equilibria. The starting point was the introduction of the adaptive strategy called regret-matching, which on the one hand is simple and natural, and on the other is shown to lead to correlated equilibria. This initial finding — boundedly rational behavior that yields fully rational outcomes in the long run — generated a large body of work on the dynamics of simple adaptive strategies. In particular, a natural condition on dynamics was identified: uncoupledness, whereby decision-makers do not know each other's payoffs and utilities (so, while chosen actions may be observable, the motivations are not). This condition turns out to severely limit the equilibria that can be reached. Interestingly, there are connections to the behavioral and neurobiological sciences and also to computer science and engineering (e.g., via notions of “regret”).Simple Adaptive Strategies is self-contained and unified in its presentation. Together with the formal treatment of concepts, theorems, and proofs, significant space is devoted to informal explanations and illuminating examples. It may be used for advanced graduate courses — in game theory, economics, mathematics, computer science, engineering — and for further research.

This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior.

Written by Lars Peter Hansen (Nobel Laureate in Economics, 2013) and Thomas Sargent (Nobel Laureate in Economics, 2011), Uncertainty within Economic Models includes articles adapting and applying robust control theory to problems in economics and finance. This book extends rational expectations models by including agents who doubt their models and adopt precautionary decisions designed to protect themselves from adverse consequences of model misspecification. This behavior has consequences for what are ordinarily interpreted as market prices of risk, but big parts of which should actually be interpreted as market prices of model uncertainty. The chapters discuss ways of calibrating agents' fears of model misspecification in quantitative contexts.