000 01795 a2200241 4500
999 _c53349
_d53349
008 200731b ||||| |||| 00| 0 eng d
020 _a9781846284236
082 _a519.3
_bWEB
100 _aWebb, James N.
245 _aGame theory: decisions, interaction and evolution
260 _bSpringer,
_c2007.
_aLondon:
300 _aix, 241 p.;
_bpb;
_c24 cm.
365 _aEURO
_b34.99
440 _aSpringer undergraduate mathematics series
520 _aThis 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.
650 _aApplication of Mathematics
650 _aApplied Mathematics
650 _aBehavioural Science
650 _aEngineering Mathematics
650 _aGame Theory
650 _aManagement Science
942 _2ddc
_cTD