Game theory (half course)

Описание мероприятия

Описание программы

This half course is an introduction to the main concepts of non-cooperative game theory, and know how they are used in modelling and analysing an interactive situation. 

This half course is designed to:

• familiarise students with formal methods for strategic analysis
• develop the mathematical theory of games as used in economics.

Assessment

This half course is assessed by a two-hour unseen written examination.

Учебный план:

• 
  Combinatorial games and Nim.
• 
  Game trees with perfect information, backward induction.
• 
  Extensive and strategic (normal) form of a game.
• 
  Nash equilibrium.
•  
  Commitment.
• 
  Mixed strategies and Nash equilibria in mixed strategies.
• 
  Finding mixed-strategy equilibria for twoperson games.
• 
  Zero sum games, maxmin strategies.
• 
  Extensive games with information sets, behaviour strategies, perfect recall.
• 
  The Nash bargaining solution.
• 
  Multistage bargaining.

Результат обучения:

At the end of this half course and having completed the essential reading and activities students should have:

• knowledge of fundamental concepts of non-cooperative game theory
• the ability to apply solution concepts to examples of games, and to state and explain them precisely
• the ability to solve unseen games that are variants of known examples.

Требования к поступающим:

If taken as part of a BSc degree, courses which must be passed before this half course may be attempted:

• MT105a Mathematics 1 and
• MT105b Mathematics 2 or
• MT1174 Calculus