To make the best decisions, you need the best information.
However, because most issues in game theory are grey, nearly all
recent research has been carried out using a simplified method that
considers grey systems as white ones. This often results in a
forecasting function that is far from satisfactory when applied to
many real situations. Grey Game Theory and Its Applications in
Economic Decision Making introduces classic game theory into the
realm of grey system theory with limited knowledge. The book
resolves three theoretical issues:
- A game equilibrium of grey game
- A reasonable explanation for the equilibrium of a grey matrix
of static nonmatrix game issues based on incomplete
information
- The Centipede Game paradox, which has puzzled theory circles
for a long time and greatly enriched and developed the core methods
of subgame Nash perfect equilibrium analysis as a result
The book establishes a grey matrix game model based on pure and
mixed strategies. The author proposes the concepts of grey saddle
points, grey mixed strategy solutions, and their corresponding
structures and also puts forward the models and methods of risk
measurement and evaluation of optimal grey strategies. He raises
and solves the problems of grey matrix games. The book includes
definitions of the test rules of information distortion experienced
during calculation, the design of tokens based on new interval grey
numbers, and new arithmetic laws to manipulate grey numbers. These
features combine to provide a practical and efficient tool for
forecasting real-life economic problems.
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