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This course is an introduction to the fundamentals of game theory and mechanism design

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English

English [CC]

FREE

Description

Motivations are drawn from engineered/networked systems (including distributed control of wireline and wireless communication networks, incentive-compatible/dynamic resource allocation, multi-agent systems, pricing and investment decisions in the Internet), and social models (including social and economic networks). The course emphasizes theoretical foundations, mathematical tools, modeling, and equilibrium notions in different environments.

Course content

  • Introduction Unlimited
  • Strategic form games Unlimited
  • Strategic form games: solution concepts Unlimited
  • Strategic form games: solution concepts Unlimited
  • Existence of a Nash equilibrium Unlimited
  • Continuous and discontinuous games Unlimited
  • Supermodular games Unlimited
  • Supermodular and potential games Unlimited
  • Computation of Nash equilibrium in finite games Unlimited
  • Evolution and learning in games Unlimited
  • Learning in games Unlimited
  • Extensive form games I Unlimited
  • Extensive form games II Unlimited
  • Nash bargaining solution Unlimited
  • Repeated games I Unlimited
  • Repeated games II Unlimited
  • Games with incomplete information: Bayesian Nash equilibria Unlimited
  • Games with incomplete information: Bayesian Nash equilibria and perfect Bayesian equilibria Unlimited
  • Mechanism design I Unlimited
  • Mechanism design II Unlimited
  • Social choice and voting theory Unlimited

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Instructor

Massachusetts Institute of Technology
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