Game Theory for Business

General

Course Contents

  • Introduction.
  • Games with two players.
  • Zero sum games.
  • Pure and Mixed strategies.
  • Maternal and Dimetrical games.
  • Equilibrium points and sag points.
  • Minmax theorem.
  • Solving parent games with Linear Programming.
  • Solving bimetric games with Non-Linear Programming.
  • Nash equilibrium and Pareto points.
  • Hierarchy games.
  • Stackelberg equilibrium and disequilibrium.
  • Cross-level programming.
  • Applications in Microeconomics and Cournot duopoly.
  • Applications to circulation networks and Wardrop balance.

Educational Goals

Purpose of the course in the analysis of techniques for making strategic decisions in a competitive environment. The techniques and methodologies presented aim to introduce the student to the basic concepts of game theory and to highlight their application in the analysis and planning of strategic decisions.

Upon completion of the course students should be able to:

  • Understand the role and importance of game theory in making strategic decisions in a competitive environment.
  • Distinguish the basic categories and corresponding forms of models used in game theory.
  • formulate game theory models that describe real decision situations by identifying the basic elements of the game: players, strategies, payoffs.
  • Apply the basic solving techniques in a game and interpret the resulting solution in operational terms.

General Skills

to be filled

Teaching Methods

  • Face to face.

Use of ICT means

  • Online guidance.
  • Slides Projection in the classroom.
  • Use of E-mail and onlne communication systems.
  • Use of e-learning system (moodle).

Teaching Organization

ActivitySemester workload
Lectures39
Assignment(s)25
Personal Study61
Total125

Students Evaluation

to be filled

Recommended Bibliography

ΔΙΔΑΚΤΙΚΑ ΣΥΓΓΡΑΜΜΑΤΑ

  1. ΠΑΙΓΝΙΑ ΚΑΙ ΛΗΨΗ ΑΠΟΦΑΣΕΩΝ, Χ.Δ. ΑΛΙΠΡΑΝΤΗΣ, S.K. CHAKRABARTI.
  2.  ΕΙΣΑΓΩΓΗ ΣΤΗ ΘΕΩΡΙΑ ΠΑΙΓΝΙΩΝ, MARTIN J. OSBORNE.

ΠΡΟΣΘΕΤΗ ΠΡΟΤΕΙΝΟΜΕΝΗ ΒΙΟΒΛΙΟΓΡΑΦΙΑ

  1. Robert Gibbons, Εισαγωγή στη Θεωρία Παιγνίων, Εκδόσεις Δαρδανός, 2009.
  2. C. D. Aliprantis and S. K. Chakrabarti, Παίγνια και Λήψη Αποφάσεων (Games and Decision Making), Ελληνική Μαθηματική Εταιρεία 2004.