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Game Theory & Modeling

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Exploring Language with Game Theory

In Meaningful Games, Robin Clark explains in an accessible manner the usefulness of game theory in thinking about a wide range of issues in linguistics. Clark argues that we use grammar strategically to signal our intended meanings: our choices as speaker are conditioned by what choices the hearer will make interpreting what we say. Game theory—according to which the outcome of a decision depends on the choices of others—provides a formal system that allows us to develop theories about the kind of decision making that is crucial to understanding linguistic behavior.

This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics.

This text offers a systematic, rigorous, and unified presentation of evolutionary game theory, covering the core developments of the theory from its inception in biology in the 1970s through recent advances. Evolutionary game theory, which studies the behavior of large populations of strategically interacting agents, is used by economists to make predictions in settings where traditional assumptions about agents’ rationality and knowledge may not be justified.

A Primer, 2nd Edition

The theory of contracts grew out of the failure of the general equilibrium model to account for the strategic interactions among agents that arise from informational asymmetries. This popular text, revised and updated throughout for the second edition, serves as a concise and rigorous introduction to the theory of contracts for graduate students and professional economists. The book presents the main models of the theory of contracts, particularly the basic models of adverse selection, signaling, and moral hazard.

Game Theory and the Hebrew Bible

In this unusual book, first published by The MIT Press in 1980 and now updated with a new chapter, Steven Brams applies the mathematical theory of games to the Hebrew Bible.

Old Ideas and New Tools

The "oligopoly problem"--the question of how prices are formed when the market contains only a few competitors--is one of the more persistent problems in the history of economic thought. In this book Xavier Vives applies a modern game-theoretic approach to develop a theory of oligopoly pricing.Vives begins by relating classic contributions to the field--including those of Cournot, Bertrand, Edgeworth, Chamberlin, and Robinson--to modern game theory.

Just as macroeconomic models describe the overall economy within a changing, or dynamic, framework, the models themselves change over time. In this text Stephen J. Turnovsky reviews in depth several early models as well as a representation of more recent models. They include traditional (backward-looking) models, linear rational expectations (future-looking) models, intertemporal optimization models, endogenous growth models, and continuous time stochastic models. The author uses examples from both closed and open economies.

Theory and Practice

Game theory has become increasingly popular among undergraduate as well as business school students. This text is the first to provide both a complete theoretical treatment of the subject and a variety of real-world applications, primarily in economics, but also in business, political science, and the law.

The greatest strength of this thoroughly revised and expanded edition of Lectures on International Trade is its rigorous algebraic and geometric treatment of the various models and results of trade theory. The authors, who now include Arvind Panagariya, offer both policy insights and empirical applications. They have added nine entirely new chapters as well as new sections to several existing chapters (e.g., a greatly expanded treatment of the growing theory of preferential trade agreements).

In economics, most noncooperative game theory has focused on equilibrium in games, especially Nash equilibrium and its refinements. The traditional explanation for when and why equilibrium arises is that it results from analysis and introspection by the players in a situation where the rules of the game, the rationality of the players, and the players' payoff functions are all common knowledge. Both conceptually and empirically, this theory has many problems.

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