Game Theory And The Humanities

How game theory can offer insights into literary, historical, and philosophical texts ranging from Macbeth to Supreme Court decisions. Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. Much of Brams's analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power. Brams examines such topics as the outcome and payoff matrix of Pascal's wager on the existence of God; the strategic games played by presidents and Supreme Court justices; and how information was slowly uncovered in the game played by Hamlet and Claudius. The reader gains not just new insights into the actions of certain literary and historical characters but also a larger strategic perspective on the choices that make us human.

Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. - Brams's strategic exegesis of texts helps the reader relate characters' goals to their choices and the consequences of those choices. Much of his analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power.

The central question I pose in this book is: If there existed a supe rior being who possessed the supernatural qualities of omni science, omnipotence, immortality, and incomprehensibility, how would he/she act differently from us, and would these differences be knowable? (ßecause God, the superior being in the Judeo Christian tradition, is generally described as a male, I shall hence forth use the masculine pronoun form for convenience, but I intend no invidious gender distinctions, whether applied to super natural or natural beings.l Theologians, philosophers of religion, and erudite scholars in other disciplines have addressed this and related questions before, but their answers, generally speaking, have not been informed by any systematic or rigorous theory. I believe the mathematical theory of games, which has little to do with the frivolity and playfulness we normally associate with games, provides a powerful tool for clarifying the key theo logical concepts in my central question and drawing out their implications in games played between human and superior beings. I am fully aware that not everybody will agree that omni science, omnipotence, immortality, and incomprehensibility are what I say they are, but I invite them to propose their own defi- Preface viii nitions and derive their own conclusions with the aid of the theory. By endowing these protean concepts with unambiguous meanings, I will try to show how game theory can breathe life into questions that have been dismissed too quickly simply because they are metaphysical-outside the world of experience.

This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.

A game-theoretical analysis of interactions between a human being and an omnipotent and omniscient godlike being highlights the inherent unknowability of the latter's superiority. In Divine Games, Steven Brams analyzes games that a human being might play with an omnipotent and omniscient godlike being. Drawing on game theory and his own theory of moves, Brams combines the analysis of thorny theological questions, suggested by Pascal's wager (which considers the rewards and penalties associated with belief or nonbelief in God) and Newcomb's problem (in which a godlike being has near omniscience) with the analysis of several stories from the Hebrew Bible. Almost all of these stories involve conflict between God or a surrogate and a human player; their representation as games raises fundamental questions about God's superiority. In some games God appears vulnerable (after Adam and Eve eat the forbidden fruit in defiance of His command), in other games his actions seem morally dubious (when He subjects Abraham and Job to extreme tests of their faith), and in still other games He has a propensity to hold grudges (in preventing Moses from entering the Promised Land and in undermining the kingship of Saul). If the behavior of a superior being is indistinguishable from that of an ordinary human being, his existence would appear undecidable, or inherently unknowable. Consequently, Brams argues that keeping an open mind about the existence of a superior being is an appropriate theological stance.

This is an Element surveying the most important literature using game theory and evolutionary game theory to shed light on questions in the philosophy of biology. There are two branches of literature that the book focuses on. It begins with a short introduction to game theory and evolutionary game theory. It then turns to working using signaling games to explore questions related to communication, meaning, language, and reference. The second part of the book addresses prosociality - strategic behavior that contributes to the successful functioning of social groups - using the prisoner's dilemma, stag hunt, and bargaining games.

The models in mainstream game theory generally assume that actors act according to a single, consistent utility function. Empirical studies, common sense, and humanistic wisdom all suggest that that assumption is too simple. This book starts with an assumption that actors are controlled by diverse, inconsistent forces and demonstrates that introducing this level of complexity allows for the creation of critical game theory models that can help to attain new insights into nature, human nature, human institutions, and human behavior. The book begins with an evolutionary, or Evo, model in which the players have concerns for the other player as well as egoistic interests. Part I analyzes the Prisoner’s Dilemma using a literary, or Lit, model in which the players have entropic, or Entro, masochistic and sadistic drives as well as altruistic and egoistic ones. Part II suggests that the Lit model opens the door to a “where Entro is, let Evo be” critical perspective on politics. Part III considers how core stories in mainstream game theory can be usefully supplemented and deepened by critical models and reflects on possible futures for critical game theory. The discussion of games and subgames includes poems as well as matrices, in pursuit of a mode of presentation that respects the complex, simultaneously humanistic and scientific qualities of critical game theory. The vision of critical game theory advanced in the book will be of significant interest to researchers in an array of theoretical and applied disciplines, including but not limited to literature, psychology, political science, economics, computer science, ethics, business ethics, law, and law and economics.

The essential textbook for learning game theory strategies Game Theory in Action is a textbook about using game theory across a range of real-life scenarios. From traffic accidents to the sex lives of lizards, Stephen Schecter and Herbert Gintis show students how game theory can be applied in diverse areas including animal behavior, political science, and economics. The book's examples and problems look at such fascinating topics as crime-control strategies, climate-change negotiations, and the power of the Oracle at Delphi. The text includes a substantial treatment of evolutionary game theory, where strategies are not chosen through rational analysis, but emerge by virtue of being successful. This is the side of game theory that is most relevant to biology; it also helps to explain how human societies evolve. Aimed at students who have studied basic calculus and some differential equations, Game Theory in Action is the perfect way to learn the concepts and practical tools of game theory. Aimed at students who have studied calculus and some differential equations Examples are drawn from diverse scenarios, ranging from traffic accidents to the sex lives of lizards A substantial treatment of evolutionary game theory Useful problem sets at the end of each chapter