Abstract
We consider static finite-player network games and their continuum analogs graphon games. Existence and uniqueness results are provided as well as convergence of the finite-player network game optimal strategy profiles to their analogs for the graphon games.We also showthat equilibriumstrategy profiles of a graphon game provide approximate Nash equilibria for the finite-player games. Connections with mean field games are discussed. Amotivating application of Cournot competition is presented, and explicit computation of its Nash equilibrium is provided.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 750-778 |
| Number of pages | 29 |
| Journal | Mathematics of Operations Research |
| Volume | 47 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2022 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Computer Science Applications
- Management Science and Operations Research
Keywords
- Graphon games
- Mean field games
- Networks
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