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Differential Games in Economics and Management Science
Engelbert J. Dockner, Universität Wien, Austria
Steffen Jorgensen, Odense Universitet, Denmark
Ngo Van Long, McGill University, Montréal
Gerhard Sorger, Queen Mary, University of London
Hardback
ISBN:9780521631259
Publication date:November 2000
394pages
9 tables
Dimensions: 247 x 174 mm
A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.