Building Models by Games
Building Models by Games

Author: Wilfrid Hodges

Publisher: CUP Archive

Published: 1985-05-02

Total Pages: 324

ISBN-13: 9780521317160

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This book introduces a general method for building infinite mathematical structures, and surveys its applications in algebra and model theory. The basic idea behind the method is to build a structure by a procedure with infinitely many steps, similar to a game between two players that goes on indefinitely. The approach is new and helps to simplify, motivate and unify a wide range of constructions that were previously carried out separately and by ad hoc methods. The first chapter provides a resume of basic model theory. A wide variety of algebraic applications are studied, with detailed analyses of existentially closed groups of class 2. Another chapter describes the classical model-theoretic form of this method -of construction, which is known variously as 'omitting types', 'forcing' or the 'Henkin-Orey theorem'. The last three chapters are more specialised and discuss how the same idea can be used to build uncountable structures. Applications include completeness for Magidor-Malitz quantifiers, and Shelah's recent and sophisticated omitting types theorem for L(Q). There are also applications to Bdolean algebras and models of arithmetic.

Rules of Play
Rules of Play

Author: Katie Salen Tekinbas

Publisher: MIT Press

Published: 2003-09-25

Total Pages: 680

ISBN-13: 9780262240451

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An impassioned look at games and game design that offers the most ambitious framework for understanding them to date. As pop culture, games are as important as film or television—but game design has yet to develop a theoretical framework or critical vocabulary. In Rules of Play Katie Salen and Eric Zimmerman present a much-needed primer for this emerging field. They offer a unified model for looking at all kinds of games, from board games and sports to computer and video games. As active participants in game culture, the authors have written Rules of Play as a catalyst for innovation, filled with new concepts, strategies, and methodologies for creating and understanding games. Building an aesthetics of interactive systems, Salen and Zimmerman define core concepts like "play," "design," and "interactivity." They look at games through a series of eighteen "game design schemas," or conceptual frameworks, including games as systems of emergence and information, as contexts for social play, as a storytelling medium, and as sites of cultural resistance. Written for game scholars, game developers, and interactive designers, Rules of Play is a textbook, reference book, and theoretical guide. It is the first comprehensive attempt to establish a solid theoretical framework for the emerging discipline of game design.

Mythos Standard Game Set
Mythos Standard Game Set

Author: Chaosium, Incorporated

Publisher: Chaosium

Published: 1996-06-01

Total Pages:

ISBN-13: 9781568820736

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Mythos is the most innovative collectable card game on the market. Unlike most collectable card games, it does not use a boardgame rule system. Instead, it goes back to traditional card games like Hearts, Bridge and Poker for its mechanics. This enables a simple and elegant rule set without the complicated timing problems of other games. It also means that everyone in the game is always involved, never having to wait while others complete their turn. Two complete decks finely constructed and tuned to provide instant playability. One deck is labelled "steadfast" for those wishing to play nominal "good guys." The other is labelled "corrupt" for those who use the powers of the Mythos for their own enrichment.

Understanding Your Game: A Mathematician's Advice for Rational and Safe Gambling
Understanding Your Game: A Mathematician's Advice for Rational and Safe Gambling

Author: Catalin Barboianu

Publisher: PhilScience Press

Published: 2022-04-15

Total Pages: 232

ISBN-13: 6069735005

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Dr. Cătălin Bărboianu, a recognized authority in gaming mathematics, philosopher of science, and problem-gambling researcher, proposes in this practical guide for both problem and non-problem gamblers a new pragmatic, conceptual approach of gambling mathematics. The primary aim of this guide is the adequate understanding of the essence and complexity of gambling through its mathematical dimension. The author starts from the premise that formal gambling mathematics, which is hardly even digestible for the non-math-inclined gamblers, is ineffective alone in correcting the specific cognitive distortions associated with gambling. By applying the latest research results in this field, the author blends the gambling-mathematics concepts with the epistemology of applied mathematics and cognitive psychology for providing gamblers the knowledge required for rational and safe gambling. It is not a standard book of gambling mathematics. The essential mathematical concepts are explained in a conceptual mode for the non-math reader, limited to their context of application and including their precise relationship with the real world of gambling. The entire mathematical dimension of gambling is reduced to seven general principles, explained at large in the seven main chapters, each generating a set of general recommendations applicable in general or in particular situations. These recommendations cover both the technical play, including objective and optimal strategies, and responsible, safe gambling. The guide has entire sections dedicated to roulette, blackjack, slots, poker, and sport betting; however, the principles and the associated advice are applicable in general to all games of chance. A major focus of the work is on explaining, making aware of, demounting, and correcting the classical gambling cognitive distortions (misconceptions, subjective estimations of probabilities, the Monte Carlo fallacy, conjunction and disjunction fallacies, the near-miss effect, illusion of control, and the misunderstanding of gambling language). The guide provides the required cognitive tools for correcting these distortions with the help of the mathematical concepts and addresses not only gamblers, but also gambling experts, including counselors.

Stars Without Number (Perfect Bound)
Stars Without Number (Perfect Bound)

Author:

Publisher:

Published: 2010-11-21

Total Pages: 210

ISBN-13: 9781936673018

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Stars Without Number is a science fiction role-playing game inspired by the Old School Renaissance and the great fantasy and science-fiction games of the seventies and eighties. * Compatible with most retroclone RPGs * Helps a GM build a sandbox sci-fi game that lets the players leave the plot rails to explore freely * World building resources for creating system-neutral planets and star sectors * 100 adventure seeds and guidelines for integrating them with the worlds you've made * Old-school compatible rules for guns, cyberware, starships, and psionics * Domain rules for experienced characters who want to set up their own colony, psychic academy, mercenary band, or other institution

Game Theory and Behavior
Game Theory and Behavior

Author: Jeffrey Carpenter

Publisher: MIT Press

Published: 2022-12-06

Total Pages: 725

ISBN-13: 0262047292

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An introduction to game theory that offers not only theoretical tools but also the intuition and behavioral insights to apply these tools to real-world situations. This introductory text on game theory provides students with both the theoretical tools to analyze situations through the logic of game theory and the intuition and behavioral insights to apply these tools to real-world situations. It is unique among game theory texts in offering a clear, formal introduction to standard game theory while incorporating evidence from experimental data and introducing recent behavioral models. Students will not only learn about incentives, how to represent situations as games, and what agents “should” do in these situations, but they will also be presented with evidence that either confirms the theoretical assumptions or suggests a way in which the theory might be updated. Features: Each chapter begins with a motivating example that can be run as an experiment and ends with a discussion of the behavior in the example. Parts I–IV cover the fundamental “nuts and bolts” of any introductory game theory course, including the theory of games, simple games with simultaneous decision making by players, sequential move games, and incomplete information in simultaneous and sequential move games. Parts V–VII apply the tools developed in previous sections to bargaining, cooperative game theory, market design, social dilemmas, and social choice and voting. Part VIII offers a more in-depth discussion of behavioral game theory models including evolutionary and psychological game theory. Supplemental material on the book’s website include solutions to end-of-chapter exercises, a manual for running each chapter’s experimental games using pencil and paper, and the oTree codes for running the games online.

A Theory of Games with General Complementarities
A Theory of Games with General Complementarities

Author: Filippo L. Calciano

Publisher: Presses univ. de Louvain

Published: 2010-09

Total Pages: 81

ISBN-13: 2874632430

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In the current theory of games, the formal notion of complementarity that is employed is unsatisfactory because it bears too few connections with our intuitive idea of complementarity. This is the starting point of the present work.