A Variational Inequality Framework for Network Games

A Variational Inequality Framework for Network Games

Simons Institute via YouTube Direct link

A sufficient condition for strict monotonicity

12 of 17

12 of 17

A sufficient condition for strict monotonicity

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A Variational Inequality Framework for Network Games

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  1. 1 Intro
  2. 2 Motivation
  3. 3 Related literature
  4. 4 A recap on variational inequalities
  5. 5 Connection to game theory
  6. 6 Properties of Game Jacobian
  7. 7 Roadmap of our Analysis
  8. 8 Sufficient conditions in terms of V.F(x)
  9. 9 The gradient of Fin network games
  10. 10 Example: linear quadratic games
  11. 11 Sufficient conditions for network games
  12. 12 A sufficient condition for strict monotonicity
  13. 13 Relation between conditions: Symmetric networks
  14. 14 Step 1: From network to operator properties
  15. 15 Step 2. From operator properties to Nash properties
  16. 16 From analysis to interventions
  17. 17 Conclusion

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