Research map / Multi-agent systems and games / Games and equilibria
Evolutionary Game Theory Squared: Evolving Agents in Endogenously Evolving Zero-Sum Games
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Represent evolving populations and environments as players in a polymatrix game | Time-evolving games reducible to rescaled zero-sum polymatrix games · Time-evolving games | Poincaré recurrence | Helped |
| Use replicator dynamics in a rescaled zero-sum polymatrix game with an interior Nash equilibrium | Rescaled zero-sum polymatrix games · Rescaled zero-sum polymatrix games | Poincaré recurrence | Helped |
| Average the replicator trajectory over time | Games with a unique interior Nash equilibrium · Rescaled zero-sum polymatrix games | time-average strategy and utility convergence | Helped |
| Track the weighted sum of agents' KL divergences rather than each agent's divergence separately | Toroidal butterfly game, 25 clusters (100 players) · Toroidal butterfly game | weighted KL divergence | Helped |
| Run replicator dynamics in the 64-node game | 8×8 zero-sum polymatrix game · 8×8 zero-sum polymatrix game (64 nodes) | approximate recurrence: more than 100k iterations | Helped |
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