Fisher Markets with Social Influence

A Fisher market is an economic model of buyer and seller interactions in which each buyer’s utility depends only on the bundle goods she obtains. Many people’s interests, however, are affected by their social with others. In this paper, we introduce a generalization markets, namely influence captures impact buyers’ utilities. We show that competitive equilibria markets correspond to generalized Nash associated pseudo-game, implies existence all continuous concave functions. then construct monotone whose variational duals together characterize continuous, jointly concave, homogeneous This observation these can be computed polynomial time under standard smoothness assumptions The dual second pseudo-game enables us interpret CCH as solutions system simultaneous Stackelberg games. Finally, derive novel first-order method solves time, prove it equivalent computing equilibrium prices via tâtonnement, run experiments confirm our theoretical results.