Nonatomic aggregative games with infinitely many types

• Nonatomic aggregative games with an infinity of player types and coupling constraints. Adapted notion equilibrium, referred to as variational Wardrop equilibrium. Equilibrium arbitrary close the one a game finite number types. Practical estimation method relying on finite-dimensional inequalities. Smart grid application: interaction energy consumers described nonatomic game. We define analyze equilibrium for These equilibria are characterized through infinite-dimensional inequality. show, under monotonicity conditions, convergence theorem which enables compute such precision. To this end, we introduce sequence types, approximates initial show existence symmetric in each these games. prove that those converge infinite game, they can be computed solutions The model is illustrated example from smart grids: description large population electricity by parametric distribution gives different actions subject