This book is a collection of studies applying game-theoretical concepts and ideas to analysing the semantics of natural language and some formal languages. The bulk of the book consists of several papers by Hintikka, Carlson and Saarinen and discusses several of the central problems of the semantics of natural language. The topics covered are the semantics of natural language quantifiers, conditionals, pronouns and anaphora more generally. Hintikka’s famous essay presenting examples of "branching quantifier structures" in English, as well as one formulating his "any-every thesis", are included. The book also includes Hintikka’s closely argued philosophical discussion of the relationships between the new semantical games with the language games of Wittgenstein. Other papers apply the game-theoretical approach to formal languages including tense logics and tense anaphora (Saarinen), deontic logic and Ross’ paradox (Hintikka), and usual predicate logic (Rantala). The latter amounts to an explication of the "impossible possible" worlds as is shown in Hintikka’s concluding paper.
This is the first book to collect research on game-theoretic tools in the analysis of language with particular reference to semantics and pragmatics. Games are significant, because they pertain equally to pragmatics and semantics of natural language. The book provides an overview of the variety of ways in which game theory is used in the analysis of linguistic meaning and shows how games arise in pragmatic as well as semantic investigations. The book is a balanced combination of philosophical, linguistic, logical and mathematical argumentation. The book has an introductory and a concluding chapter, written by the editor, to give a gentle introduction to the topics covered in the book and to provide wider conclusions and prospects arising from the individual essays. The major topics covering the field of game theory and linguistic meaning included in the book are: language games, Wittgenstein evolutionary language games communication games, Grice games of partial information equilibrium semantics game-theoretic semantics logical modelling, and generalised quantifiers the semantics/pragmatics distinction. It includes international contributions from known leaders in the field. It is part of the Current Research in Semantics/Pragmatics Interface series.
This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community. This book, whose chapters have been in preparation for several years, is dedicated to the work of Jaako Hintikka, and to his memory. This edited volume consists of 23 contributions from leading logicians and philosophers, who discuss themes that span across the entire range of Hintikka’s career. Semantic Representationalism, Logical Dialogues, Knowledge and Epistemic logic are among some of the topics covered in this book's chapters. The book should appeal to students, scholars and teachers who wish to explore the philosophy of Jaako Hintikka.
Since the first chapter of this book presents an intro duction to the present state of game-theoretical semantics (GTS), there is no point in giving a briefer survey here. Instead, it may be helpful to indicate what this volume attempts to do. The first chapter gives a short intro duction to GTS and a survey of what is has accomplished. Chapter 2 puts the enterprise of GTS into new philo sophical perspective by relating its basic ideas to Kant's phi losophy of mathematics, space, and time. Chapters 3-6 are samples of GTS's accomplishments in understanding different kinds of semantical phenomena, mostly in natural languages. Beyond presenting results, some of these chapters also have other aims. Chapter 3 relates GTS to an interesting line of logical and foundational studies - the so-called functional interpretations - while chapter 4 leads to certain important methodological theses. Chapter 7 marks an application of GTS in a more philo sophical direction by criticizing the Frege-Russell thesis that words like "is" are multiply ambiguous. This leads in turn to a criticism of recent logical languages (logical notation), which since Frege have been based on the ambi guity thesis, and also to certain methodological sug gestions. In chapter 8, GTS is shown to have important implications for our understanding of Aristotle's doctrine of categories, while chapter 9 continues my earlier criticism of Chomsky's generative approach to linguistic theorizing.
Rooted in Gricean tradition, this book concentrates on game- and decision-theoretic (GDT) approaches to the foundations of pragmatics. An Introduction to GDT, with an overview of GDT pragmatics research to date and its relation to semantics and to Gricean pragmatics is followed by contributions offering a high-level survey of current GDT pragmatics and the field of its applications, demonstrating that this approach provides a sound basis for synchronic and diachronic explanations of language use.
The aim of this volume is to present modern developments in semantics and logics of computation in a way that is accessible to graduate students. The book is based on a summer school at the Isaac Newton Institute and consists of a sequence of linked lecture course by international authorities in the area. The whole set have been edited to form a coherent introduction to these topics, most of which have not been presented pedagogically before.
Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic, an exciting logical formalism at the interface of logic and game theory. It is suitable for graduate students and advanced undergraduates who have taken a course on first-order logic.
DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div
Communication and content presents a comprehensive and foundational account of meaning based on new versions of situation theory and game theory. The literal and implied meanings of an utterance are derived from first principles assuming little more than the partial rationality of interacting agents. New analyses of a number of diverse phenomena – a wide notion of ambiguity and content encompassing phonetics, syntax, semantics, pragmatics, and beyond, vagueness, convention and conventional meaning, indeterminacy, universality, the role of truth in communication, semantic change, translation, Frege’s puzzle of informative identities – are developed. Communication, speaker meaning, and reference are defined. Frege’s context and compositional principles are generalized and reconciled in a fixed-point principle, and a detailed critique of Grice, several aspects of Lewis, and some aspects of the Romantic conception of meaning are offered. Connections with other branches of linguistics, especially psycholinguistics, sociolinguistics, historical linguistics, and natural language processing, are explored. The book will be of interest to scholars in philosophy, linguistics, artificial intelligence, and cognitive science. It should also interest readers in related fields like literary and cultural theory and the social sciences. "This book is the culmination of Prashant Parikh's long and deep work on fundamental questions of language and how they can be illuminated by game-theoretic analysis." — Roger Myerson, 2007 Nobel Laureate in Economics, University of Chicago "Prashant Parikh has, over the years, accumulated a substantial and impressive body of work on the nature of language, deploying the resources of game theory. Communication and content is a vastly ambitious culmination of this lifelong pursuit. It covers a tremendously wide range of themes and critically discusses an enormous range of writing on those themes from diverse intellectual traditions, as it systematically develops a game-theoretic account of content in the communicative contexts in which human linguistic capacities are employed, eschewing standard distinctions between semantics and pragmatics, and offering instead a highly integrated elaboration of the slogan “meaning is use”. It is a work that is at once creative yet conscientious, bold yet rigorously technical, systematic yet sensitive to contingency and context. It will abundantly reward close study." — Akeel Bilgrami, Sidney Morgenbesser Professor of Philosophy, Columbia University "Prashant Parikh has made fundamental contributions to the game-theoretic analysis of linguistic meaning. Communication and content summarizes and extends this important work, offering a truly novel approach to the strategic foundations of meaning. This approach finds a way out of the prison of methodological solipsism and opens up the study of linguistic meaning to scientific study." — Robin Clark, Linguistics, University of Pennsylvania "A pioneering attempt to work out things like literal meaning, modulation, enrichment, implicature, etc. in mathematical detail within a game-theoretic framework." — François Recanati, Chair, Philosophy of Language and Mind, Collège de France "Communication and content is the crowning achievement of a long line of research pioneered by Prashant Parikh. In this groundbreaking work Parikh introduces a fresh perspective on natural language pragmatics, by making a creative tie with game theory. Clearly written, Communication and content weaves together semantics, game theory, and situation theory to create a thought-provoking picture of natural language pragmatics. Every modern AI researcher interested in the foundations of natural language pragmatics owes it to him- or herself to become familiar with this picture." — Yoav Shoham, Computer Science Department, Stanford University
An engaging introduction to the use of game theory to study lingistic meaning. 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. Clark argues the only way to understand meaning is to grapple with its social nature—that it is the social that gives content to our mental lives. Game theory gives us a framework for working out these ideas. The resulting theory of use will allow us to account for many aspects of linguistic meaning, and the grammar itself can be simplified. The results are nevertheless precise and subject to empirical testing. Meaningful Games offers an engaging and accessible introduction to game theory and the study of linguistic meaning. No knowledge of mathematics beyond simple algebra is required; formal definitions appear in special boxes outside the main text. The book includes an extended argument in favor of the social basis of meaning; a brief introduction to game theory, with a focus on coordination games and cooperation; discussions of common knowledge and games of partial information; models of games for pronouns and politeness; and the development of a system of social coordination of reference.
