• Games on networks

    14 Lessons

    This lecture focuses on strategic interaction that take place on networks. Part 1 overviews structural properties of empirical networks. Part 2 introduces a mathematical framework and notions of equilibria for thinking about strategic interaction between multiple players. Part 3 focuses on applications of game theory, including modeling network traffic, link analysis and web search and voting processes.

  • Behavioral game theory

    15 Lessons

    This lecture focuses on mathematical descriptions of strategic situations in which payoffs to agents depend on the behavior of the other agents (applied to the analysis of conflict, cooperation, and corruption).

  • Hybrid systems

    14 Lessons

    Hybrid systems are often necessary when the simplifications introduced by continuous models mask effects that are worthy of attention. This lecture introduces fundamental concepts and tools for the study of dynamical systems that combine both continuous and discrete entities (differential equations and discrete events).

  • Information networks

    13 Lessons

    This lecture presents formal methods to quantify the dynamics of corruption through modeling basic features of the structure and function of complex networks. It overviews the statistical way of thinking about social and technological networks.

  • Feedback systems

    15 Lessons

    Often we are interested in finding and characterizing pattern which appear over time. This lecture introduces formal tools to design, model, and analyze evolving socio-technological systems in which information, data sensing, and decision-making mechanisms strongly couple two or more systems. Formal techniques include frequency-domain and time-domain methods.

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