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Mathematical Sciences --- Applied Mathematics --- Game Theory --- Game theory --- Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- games --- Teoria de jocs --- Videojocs --- Teoria de jocs. --- Videojocs.

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This monograph presents a mathematically rigorous and accessible treatment of the interaction between information, decision, control, and probability in single-agent and multi-agent systems. The book provides a comprehensive and unified theory of information structures for stochastic control, stochastic teams, stochastic games, and networked control systems. Part I of the text is concerned with a general mathematical theory of information structures for stochastic teams, leading to systematic characterizations and classifications, geometric and topological properties, implications on existence, approximations and relaxations, their comparison, and regularity of optimal solutions in information. Information structures in stochastic games are then considered in Part II, and the dependence of equilibrium solutions and behavior on information is demonstrated. Part III studies information design through information theory in networked control systems – both linear and nonlinear – and discusses optimality and stability criteria. Finally, Part IV introduces information and signaling games under several solution concepts, with applications to prior mismatch, cost mismatch and privacy, reputation games and jamming. This text will be a valuable resource for researchers and graduate students interested in control theory, information theory, statistics, game theory, and applied mathematics. Readers should be familiar with the basics of linear systems theory, stochastic processes, and Markov chains.

System theory. --- Control theory. --- Game theory. --- Coding theory. --- Information theory. --- Control engineering. --- Systems Theory, Control. --- Game Theory. --- Coding and Information Theory. --- Control and Systems Theory. --- Teoria de sistemes --- Teoria de control --- Teoria de jocs --- Automatic control.

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Games are played everywhere: from economics to evolutionary biology, and from social interactions to online auctions. This title shows how to play such games in a rational way, and how to maximize their outcomes.

Game theory. --- Théorie des jeux --- Game theory --- 519.8 --- 519.83 --- 681.3*I2 --- Operational research --- Theory of games --- Artificial intelligence. AI --- Business. --- Mathematics. --- Business & Economics --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Economic Theory --- 681.3*I2 Artificial intelligence. AI --- 519.83 Theory of games --- 519.8 Operational research --- Théorie des jeux --- Games, Theory of --- Mathematical models --- Teoría de los juegos --- Libros electrónicos --- Jocs, Teoria de --- Jocs, Teoria dels --- Teoria de jocs --- Matemàtica --- Models matemàtics

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This book shows that evolutionary game theory can unravel how mutual cooperation, trust, and credit in a group emerge in organizations and institutions. Some organizations and institutions, such as insurance unions, credit unions, and banks, originated from very simple mutual-aid groups. Members in these early-stage mutual-aid groups help each other, making rules to promote cooperation, and suppressing free riders. Then, they come to “trust” not only each other but also the group they belong to, itself. The division of labor occurs when the society comes to have diversity and complexity in a larger group, and the division of labor also requires mutual cooperation and trust among different social roles. In a larger group, people cannot directly interact with each other, and the reputation of unknown people helps other decide who is a trustworthy person. However, if gossip spreads untruths about a reputation, trust and cooperation are destroyed. Therefore, how to suppress untrue gossip is also important for trust and cooperation in a larger group. If trustworthiness and credibility can be established, these groups are successfully sustainable. Some develop and evolve and then mature into larger organizations and institutions. Finally, these organizations and institutions become what they are now. Therefore, not only cooperation but also trust and credit are keys to understanding these organizations and institutions. The evolution of cooperation, a topic of research in evolutionary ecology and evolutionary game theory, can be applied to understanding how to make institutions and organizations sustainable, trustworthy, and credible. It provides us with the idea that evolutionary game theory is a good mathematical tool to analyze trust and credit. This kind of research can be applied to current hot topics such as microfinance and the sustainable use of ecosystems.

Ecology. --- Dynamical systems. --- Biomathematics. --- Theoretical and Statistical Ecology. --- Dynamical Systems. --- Mathematical and Computational Biology. --- Biology --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Balance of nature --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Ecology --- Game theory. --- Organizational behavior. --- Behavior in organizations --- Management --- Organization --- Psychology, Industrial --- Social psychology --- Games, Theory of --- Theory of games --- Mathematical models --- Conducta organitzacional --- Teoria de jocs