000 02802nam a22002657a 4500
999 _c1762
_d1762
003 OSt
005 20191010151146.0
008 191010b ||||| |||| 00| 0 eng d
020 _a978-0-262-19587-4
040 _cIZA
100 _aSandholm, William H.
_94749
245 _aPopulation Games and Evolutionary Dynamics
260 _aCambridge, Mass.,
_bMIT Press,
_c2010
300 _a589 p.
520 _a A systematic, rigorous, comprehensive, and unified overview of evolutionary game theory. This text offers a systematic, rigorous, and unified presentation of evolutionary game theory, covering the core developments of the theory from its inception in biology in the 1970s through recent advances. Evolutionary game theory, which studies the behavior of large populations of strategically interacting agents, is used by economists to make predictions in settings where traditional assumptions about agents' rationality and knowledge may not be justified. Recently, computer scientists, transportation scientists, engineers, and control theorists have also turned to evolutionary game theory, seeking tools for modeling dynamics in multiagent systems. Population Games and Evolutionary Dynamics provides a point of entry into the field for researchers and students in all of these disciplines. The text first considers population games, which provide a simple, powerful model for studying strategic interactions among large numbers of anonymous agents. It then studies the dynamics of behavior in these games. By introducing a general model of myopic strategy revision by individual agents, the text provides foundations for two distinct approaches to aggregate behavior dynamics: the deterministic approach, based on differential equations, and the stochastic approach, based on Markov processes. Key results on local stability, global convergence, stochastic stability, and nonconvergence are developed in detail. Ten substantial appendixes present the mathematical tools needed to work in evolutionary game theory, offering a practical introduction to the methods of dynamic modeling. Accompanying the text are more than 200 color illustrations of the mathematics and theoretical results; many were created using the Dynamo software suite, which is freely available on the author's Web site. Readers are encouraged to use Dynamo to run quick numerical experiments and to create publishable figures for their own research.
653 _aevolutionary game theory
653 _agame theory
653 _abehavior
653 _alarge populations
653 _astochastic approach
653 _aMarko process
653 _adifferential equations
856 _uhttps://mitpress.mit.edu/books/population-games-and-evolutionary-dynamics
_yPublisher's website
942 _2ddc
_cBO