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1
Intro
2
Motivation
3
Related literature
4
A recap on variational inequalities
5
Connection to game theory
6
Properties of Game Jacobian
7
Roadmap of our Analysis
8
Sufficient conditions in terms of V.F(x)
9
The gradient of Fin network games
10
Example: linear quadratic games
11
Sufficient conditions for network games
12
A sufficient condition for strict monotonicity
13
Relation between conditions: Symmetric networks
14
Step 1: From network to operator properties
15
Step 2. From operator properties to Nash properties
16
From analysis to interventions
17
Conclusion
Description:
Explore a variational inequality framework for network games in this 31-minute lecture by Asu Özdağlar from the Massachusetts Institute of Technology. Delve into the connection between variational inequalities and game theory, examining properties of Game Jacobian and sufficient conditions for network games. Learn about linear quadratic games, strict monotonicity, and the relationship between conditions in symmetric networks. Discover how to apply this analysis to interventions in societal networks, gaining valuable insights into the mathematical foundations of network game theory.

A Variational Inequality Framework for Network Games

Simons Institute
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