5 papers
Evolutionary Analysis of Continuous-time Finite-state Mean Field Games with Discounted Payoffs
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
We consider a class of continuous-time dynamic games involving a large number of players. Each player selects actions from a finite set and evolves through a finite set of states.…
Evolutionary Dynamics in Continuous-time Finite-state Mean Field Games -- Part II: Stability
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves sto…
Evolutionary Dynamics in Continuous-time Finite-state Mean Field Games -- Part I: Equilibria
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves sto…
A multiscale analysis of mean-field transformers in the moderate interaction regime
Giuseppe Bruno, Federico Pasqualotto, Andrea Agazzi
In this paper, we study the evolution of tokens through the depth of encoder-only transformer models at inference time by modeling them as a system of particles interacting in a me…
Noise-induced stabilization in a chemical reaction network without boundary effects
Andrea Agazzi, Lucie Laurence
We present a chemical reaction network that is unstable under deterministic mass action kinetics, exhibiting finite-time blow-up of trajectories in the interior of the state space,…