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Noncooperative Game Theory
João P. Hespanha
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more.
The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding.
Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications.
- An introduction to game theory applications for students of engineering and computer science
- Materials presented sequentially and in an easy-to-understand fashion
- Topics explore zero-sum, non-zero-sum, and dynamics games
- MATLAB commands are included
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Minimax theorem, Boundary value problem, State space, Mathematical optimization, Degrees of freedom (statistics), Pareto efficiency, Pursuit-evasion, Advertising campaign, Probability distribution, Direct proof, Dynamic programming, Matrix Games, Strategy (game theory), Result, Additive white Gaussian noise, Mechanism design, Notation, Decision rule, Transpose, Randomization, Marginal cost, GNU General Public License, Random variable, Decision-making, Conversion factor, Percentage, Special case, Maxima and minima, Outcome (game theory), Tax, Summation, Optimization problem, Big O notation, Shannon–Hartley theorem, Hyperplane, Reinhard Selten, Continuous function, Bell number, Expected value, Subset, Saddle point, Multi-agent system, Shapley value, Congestion game, Linear programming, Nash equilibrium, Differentiable function, Variable (mathematics), Economics, Monotonic function, Policy, Differential game, Linear algebra, Verbosity, Stochastic, Suggestion, Theorem, Almost surely, Differential equation, Price of anarchy, Control theory, Cost curve, Lecture, Inequality (mathematics), A0, Outcome (probability), Computation, Weierstrass theorem, Potential game, Probability