3 papers
math.NT2025
Maximal curves over finite fields and a modular isogeny
Valerio Dose, Guido Lido, Pietro Mercuri +1
We prove the existence of curves of genus and over the field with elements, reaching the Hasse-Weil-Serre upper bound. These curves are quotients of modular curves…
cs.GT2023
Monotonicity of Equilibria in Nonatomic Congestion Games
Roberto Cominetti, Valerio Dose, Marco Scarsini
This paper studies the monotonicity of equilibrium costs and equilibrium loads in nonatomic congestion games, in response to variations of the demands. The main goal is to identify…
cs.GT2023
Phase Transitions of the Price-of-Anarchy Function in Multi-Commodity Routing Games
Roberto Cominetti, Valerio Dose, Marco Scarsini
We consider the behavior of the price of anarchy and equilibrium flows in nonatomic multi-commodity routing games as a function of the traffic demand. We analyze their smoothness w…