A presentation of systematic methods for winning differential games of pursuit and evasion, this volume explores the procedures' scope and applications. Numerous examples illustrate basic and advanced concepts, including capture, strategy, and algebraic theory. Detailed proofs appear throughout the text, along with 200 exercises that further clarify each subject. 1975 edition.

Twenty papers are devoted to the treatment of a wide spectrum of problems in the theory and applications of dynamic games with the emphasis on pursuit-evasion differential games. The problem of capturability is thoroughly investigated, also the problem of noise-corrupted (state) measurements. Attention is given to aerial combat problems and their attendant modelling issues, such as variable speed of the combatants, the three-dimensionality of physical space, and the combat problem, i.e. problems related to 'role determination'.

Graphs measure interactions between objects such as friendship links on Twitter, transactions between Bitcoin users, and the flow of energy in a food chain. While graphs statically represent interacting systems, they may also be used to model dynamic interactions. For example, imagine an invisible evader loose on a graph, leaving only behind breadcrumb clues to their whereabouts. You set out with pursuers of your own, seeking out the evader's location. Would you be able to detect their location? If so, then how many resources are needed for detection, and how fast can that happen? These basic-seeming questions point towards the broad conceptual framework of pursuit-evasion games played on graphs. Central to pursuit-evasion games on graphs is the idea of optimizing certain parameters, whether they are the cop number, burning number, or localization number, for example. This book would be excellent for a second course in graph theory at the undergraduate or graduate level. It surveys different areas in graph searching and highlights many fascinating topics intersecting classical graph theory, geometry, and combinatorial designs. Each chapter ends with approximately twenty exercises and five larger scale projects.

What might Heidegger say about Halo, the popular video game franchise, if he were alive today? What would Augustine think about Assassin’s Creed? What could Maimonides teach us about Nintendo’s eponymous hero, Mario? While some critics might dismiss such inquiries outright, protesting that these great thinkers would never concern themselves with a medium so crude and mindless as video games, it is important to recognize that games like these are becoming the defining medium of our time. We spend more time and money on video games than on books, television, or film, and any serious thinker of our age should be concerned with these games, what they are saying about us, and what we are learning from them. Yet video games remain relatively unexplored by both scholars and pundits alike. Few have advanced beyond outmoded and futile attempts to tie gameplay to violent behavior. With this rumor now thoroughly and repeatedly disproven, it is time to delve deeper. Just as the Museum of Modern Art in Manhattan recently acquired fourteen games as part of its permanent collection, so too must we seek to add a serious consideration of virtual worlds to the pantheon of philosophical inquiry. In God in the Machine, author Liel Leibovitz leads a fascinating tour of the emerging virtual landscape and its many dazzling vistas from which we are offered new vantage points on age-old theological and philosophical questions. Free will vs. determinism, the importance of ritual, transcendence through mastery, notions of the self, justice and sin, life, death, and resurrection all come into play in the video games that some critics so quickly write off as mind-numbing wastes of time. When one looks closely at how these games are designed, their inherent logic, and their cognitive effects on players, it becomes clear that playing these games creates a state of awareness vastly different from when we watch television or read a book. Indeed, the gameplay is a far more dynamic process that draws on various faculties of mind and body to evoke sensations that might more commonly be associated with religious experience. Getting swept away in an engaging game can be a profoundly spiritual activity. It is not to think, but rather to be, a logic that sustained our ancestors for millennia as they looked heavenward for answers. As more and more of us look “screenward,” it is crucial to investigate these games for their vast potential as fine instruments of moral training. Anyone seeking a concise and well-reasoned introduction to the subject would do well to start with God in the Machine. By illuminating both where video game storytelling is now and where it currently butts up against certain inherent limitations, Liebovitz intriguingly implies how the field and, in turn, our experiences might continue to evolve and advance in the coming years.

First Published in 1998. Routledge is an imprint of Taylor & Francis, an informa company.

One of the largest collections of Trivial Pursuit questions ever compiled, this ultimate compendium covers art, entertainment, history, geography, science, sports, and more.

This book constitutes the proceedings of the 4th International Workshop on Motion in Games, held in Edinburgh, UK, in November 2011. The 30 revised full papers presented together with 8 revised poster papers in this volume were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on character animation, motion synthesis, physically-based character motion, behavior animation, animation systems, crowd simulation, as well as path planning and navigation.