A01=Ulrich Faigle
Author_Ulrich Faigle
Banzhaf Power Index
Braess Paradox
Category=PBUD
Category=PBW
Characteristic Function
Choquet Integral
Coalition Formation
Combinatorial Game
Common Knowledge
Cooperative Game
Core
Decision System
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilibrium
Exchange Economy
Fechner's Law
Fortune Formula
Fuzzy Game
G-strategy
Game
Game Algebra
Greedy Algorithm
Grundy Number
Information Function
Intensity
Interaction System
Kelly Criterion
Knowledge Function
Lagrange Game
Linear Programming Game
Lovasz Extension
Markov Evolution
Matrix Game
Metropolis Algorithm
Monge Algorithm
N-person Game
Nash Equilibrium
Network Game
Nim Game
Normal Winning Rule
Nucleolus
Nucleon
Potential
Prisoner's Dilemma
Production Game
Proportional Betting
Public Welfare
Quantum Game
Randomized Game
Shadow Price
Shapley Value
Simulated Annealing
St. Petersburg Paradox
Strategic Equivalence
System
Temperature
Traffic System
Transferable Utility
Utility
Von Neumann-Morgenstern Solution
Voting System
Winning Strategy
Zero-sum Game
Product details
- ISBN 9789811246692
- Publication Date: 21 Mar 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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What is a game? Classically, a game is perceived as something played by human beings. Its mathematical analysis is human-centered, explores the structures of particular games, economic or social environments and tries to model supposedly "rational" human behavior in search of appropriate "winning strategies". This point of view places game theory into a very special scientific corner where mathematics, economics and psychology overlap and mingle.This book takes a novel approach to the subject. Its focus is on mathematical models that apply to game theory in particular but exhibit a universal character and thus extend the scope of game theory considerably.This textbook addresses anyone interested in a general game-theoretic view of the world. The reader should have mathematical knowledge at the level of a first course in real analysis and linear algebra. However, possibly more specialized aspects are further elaborated and pointers to relevant supplementary literature are given. Moreover, many examples invite the reader to participate "actively" when going through the material. The scope of the book can be covered in one course on Mathematical Game Theory at advanced undergraduate or graduate level.
