The course provides a first introduction into decision theory. After the basic notions of the subject have been explained, the main attention will be paid to the methods for solving problems with one or more decision criteria and/or resolving conflicting situations in the paradigms of game theory. Some specific items to be discussed: Optimization techniques and rules for decision problems with one decision criterion, e.g., mean-value, maxmin, Laplace, Savage rules, etc. Decision trees. Problems of Portfolio optimization. Basic notions of game theory; strategies, zero-sum games, etc. Pure and mixed strategies, linear programming methods. Nash equilibrium, cooperative and non-cooperative games.
The course provides a first introduction into decision theory. After the basic notions of the subject have been explained, the main attention will be paid to the methods for solving problems with one or more decision criteria and/or resolving conflicting situations in the paradigms of game theory. Some specific items to be discussed: Optimization techniques and rules for decision problems with one decision criterion, e.g., mean-value, maxmin, Laplace, Savage rules, etc. Decision trees. Problems of Portfolio optimization. Basic notions of game theory; strategies, zero-sum games, etc. Pure and mixed strategies, linear programming methods. Nash equilibrium, cooperative and non-cooperative games.
The course provides a first introduction into decision theory. After the basic notions of the subject have been explained, the main attention will be paid to the methods for solving problems with one or more decision criteria and/or resolving conflicting situations in the paradigms of game theory. Some specific items to be discussed: Optimization techniques and rules for decision problems with one decision criterion, e.g., mean-value, maxmin, Laplace, Savage rules, etc. Decision trees. Problems of Portfolio optimization. Basic notions of game theory; strategies, zero-sum games, etc. Pure and mixed strategies, linear programming methods. Nash equilibrium, cooperative and non-cooperative games.
The course provides a first introduction into decision theory. After the basic notions of the subject have been explained, the main attention will be paid to the methods for solving problems with one or more decision criteria and/or resolving conflicting situations in the paradigms of game theory. Some specific items to be discussed: Optimization techniques and rules for decision problems with one decision criterion, e.g., mean-value, maxmin, Laplace, Savage rules, etc. Decision trees. Problems of Portfolio optimization. Basic notions of game theory; strategies, zero-sum games, etc. Pure and mixed strategies, linear programming methods. Nash equilibrium, cooperative and non-cooperative games.