Networks of Many Public Goods with Non-Linear Best Replies | ||||||
rapport Sep 2014 ; 25 pages Aut. Yann Rebillé & Lionel Richefort Ed. Université de Nantes - Nantes Téléchargeable sous format: PdF (250 ko) Téléchargeable chez l'éditeur Résumé: This study models a bipartite network where links connect agents and public goods. Agents play a voluntary contribution game, where they decide how much to contribute to each public good they are connected to. We show that the problem of finding a Nash equilibrium can be posed as a non-linear complementarity problem. The existence of an equilibrium point is established for a wide class of individual preferences. Then, we find a simple sufficient condition, on network structure only, that guarantees the uniqueness of equilibria. An easy procedure to build networks respecting this condition is finally provided. Publics-Cibles:
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