Monotonicity of equilibria in nonatomic congestion games

Roberto Cominetti, Valerio Dose, Marco Scarsini

Abstract: Highlights•We study multicommodity congestion games with varying demands.•We give conditions under which the equilibrium loads increase with the demands.•The results are extended to constrained series–parallel congestion games.•For singleton congestion games we study the comonotonicity of loads when demands can move in opposite directions.•We show that every congestion game is equivalent to a constrained routing game.