Algorithms specify the way computers process information and how they execute tasks. Many recent technological innovations and achievements rely on algorithmic ideas - they facilitate new applications in science, medicine, production, logistics, traffic, communication and entertainment. Efficient algorithms not only enable your personal computer to execute the newest generation of games with features unimaginable only a few years ago, they are also key to several recent scientific breakthroughs - for example, the sequencing of the human genome would not have been possible without the invention of new algorithmic ideas that speed up computations by several orders of magnitude. The greatest improvements in the area of algorithms rely on beautiful ideas for tackling computational tasks more efficiently. The problems solved are not restricted to arithmetic tasks in a narrow sense but often relate to exciting questions of nonmathematical flavor, such as: How can I find the exit out of a maze? How can I partition a treasure map so that the treasure can only be found if all parts of the map are recombined? How should I plan my trip to minimize cost? Solving these challenging problems requires logical reasoning, geometric and combinatorial imagination, and, last but not least, creativity - the skills needed for the design and analysis of algorithms. In this book we present some of the most beautiful algorithmic ideas in 41 articles written in colloquial, nontechnical language. Most of the articles arose out of an initiative among German-language universities to communicate the fascination of algorithms and computer science to high-school students. The book can be understood without any prior knowledge of algorithms and computing, and it will be an enlightening and fun read for students and interested adults.

This book constitutes the proceedings of the 6th International Symposium on Algorithmic Game Theory, SAGT 2013, held in Aachen, Germany, in October 2013. The 25 papers presented in this volume were carefully reviewed and selected from 65 submissions. They cover various important aspects of algorithmic game theory, such as solution concepts in game theory, efficiency of equilibria and the price of anarchy, computational aspects of equilibria and game theoretical measures, repeated games and convergence of dynamics, evolution and learning in games, coordination and collective action, network games and graph-theoretic aspects of social networks, voting and social choice, as well as algorithmic mechanism design.

Hinter vielen Programmen stecken clevere Verfahren, die man als Algorithmen bezeichnet. Algorithmen losen nicht nur mathematische Aufgaben, die sich mit Zahlen beschaftigen, sondern auch andere, ganz alltagliche Problemstellungen, bei denen logischer Spursinn, raumliche Orientierung oder geschicktes Verhandeln gefragt sind, beispielsweise: Wie sollten Seerauber eine Schatzkarte aufteilen, bzw. Bankangestellte den Geheimcode des Tresors? Wie ermittle ich den kurzesten Weg zwischen zwei Orten? Wie kann ich einen Kuchen gerecht aufteilen? Dieses Buch vollfuhrt einen Streifzug durch die faszinierende Welt der Algorithmen. Es verlangt keine Vorkenntnisse, so dass Schuler ab der Mittelstufe und Informatik-interessierte Laien neue und uberraschende Einblicke gewinnen konnen. In 43 Artikeln von Informatikern, die an Universitaten im In- und Ausland lehren, werden besonders elegante Algorithmen anschaulich und umgangssprachlich erklart, so dass die besondere Faszination der Informatik spurbar wird."