03624nam a22005655i 4500 978-1-84628-636-0 DE-He213 20210624041856.0 cr nn 008mamaa 100301s2007 xxk| s |||| 0|eng d 9781846286360 978-1-84628-636-0 10.1007/978-1-84628-636-0 doi HB144 QA269-272 PBUD bicssc MAT011000 bisacsh PBUD thema 519 23 Webb, James N. author. aut http://id.loc.gov/vocabulary/relators/aut Game Theory [electronic resource] : Decisions, Interaction and Evolution / by James N. Webb. 1st ed. 2007. London : Springer London : Imprint: Springer, 2007. X, 242 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Undergraduate Mathematics Series, 1615-2085 Decisions -- Simple Decision Models -- Simple Decision Processes -- Markov Decision Processes -- Interaction -- Static Games -- Finite Dynamic Games -- Games with Continuous Strategy Sets -- Infinite Dynamic Games -- Evolution -- Population Games -- Replicator Dynamic. This introduction to game theory is written from a mathematical perspective. Its primary purpose is to be a first course for undergraduate students of mathematics, but it also contains material which will be of interest to advanced students or researchers in biology and economics. The outstanding feature of the book is that it provides a unified account of three types of decision problem: Situations involving a single decision-maker: in which a sequence of choices is to be made in "a game against nature". This introduces the basic ideas of optimality and decision processes. Classical game theory: in which the interactions of two or more decision-makers are considered. This leads to the concept of the Nash equilibrium. Evolutionary game theory: in which the changing structure of a population of interacting decision makers is considered. This leads to the ideas of evolutionarily stable strategies and replicator dynamics. An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required. Detailed solutions are provided for the numerous exercises. Game theory. Applied mathematics. Engineering mathematics. Economics. Management science. Behavioral sciences. Game Theory, Economics, Social and Behav. Sciences. https://scigraph.springernature.com/ontologies/product-market-codes/M13011 Applications of Mathematics. https://scigraph.springernature.com/ontologies/product-market-codes/M13003 Economics, general. https://scigraph.springernature.com/ontologies/product-market-codes/W00000 Behavioral Sciences. https://scigraph.springernature.com/ontologies/product-market-codes/L13009 SpringerLink (Online service) Springer Nature eBook Printed edition: 9781848005198 Printed edition: 9781846284236 Springer Undergraduate Mathematics Series, 1615-2085 https://doi.org/10.1007/978-1-84628-636-0 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)