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IE 707: Multi Agent Decision Making Models

Prerequisite: IE 611 or Instructor's Consent

Contents

Overview of Utility theory. Multicriteria optimization: Pareto optimality, Some computational methods.

Game Theory: Co-operative and non-cooperative game theory, zero-sum and non-zero sum games, Strategy sets and equilibrium strategies; Complete and partial information models. Nash equilibrium and Bayesian Equilibrium points. Computational algorithms for equilibrium strategies.

Multi-period games: Stackelberg games, Repeated games, Dynamic games, Stochastic games. Equilibrium and related concepts. Applications to Mechanism Design (Protocol engineering), Marketing, Oligopoly, etc.

References
  • M. Osborne and A. Rubenstien, A Course of Game Theory, MIT 1994.
  • J. Filar and O. Vrize, Competitive Markov Decision Processes, Springer, 1997.
  • R. Myerson, Game Theory: Analysis of Conflict, Harvard University Press, 1991.
  • D. Fudenberg and J. Tirole, Game theory, MIT Press, 1991
  • M. Osborne, An Introduction to Game Theory, Oxford University Press, 2003
  • R. Gibbons, Game theory for applied economists, Princeton, 1992.
  • T. Basar and G. J. Olsder, Dynamic and non-cooperative game theory, Classics in Applied Mathematics 23, SIAM 1999.
  • Mass-Colell, A. Whinston, R. and Green, J. R., Microeconomic theory. OUP, 1995.
  • Open Literature