Household Nash equilibrium with voluntarily contributed public goods

Arbeitspapier

We study noncooperative models with two agents and several voluntarily contributed public goods. We focus on interior equilibria in which neither agent is bound by non negativity constraints, establishing the conditions for existence and uniqueness of the equilibrium. While adding-up and homogeneity hold, negativity and symmetry properties are generally violated. We derive the counterpart to the Slutsky matrix, and show that it can be decomposed into the sum of a symmetric and negative semidefinite matrix and another the rank of which never exceeds the number of public goods plus one. Under separability of the public goods the deviation from symmetry is at most rank two.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: IFS Working Papers ; No. 05/06

Classification and Topics

• Classification: Wirtschaft ; Consumer Economics: Theory ; Noncooperative Games
• Subject: Nash equilibrium ; Intra-household allocation ; Slutsky symmetry ; Nash-Gleichgewicht ; Öffentliches Gut ; Prinzipal-Agent-Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Lechêne, Valérie ; Preston, Ian
• Event: Veröffentlichung
• (who): Institute for Fiscal Studies (IFS)
• (where): London
• (when): 2005

Further information

• DOI: doi:10.1920/wp.ifs.2005.0506
• Handle: http://hdl.handle.net/10419/71552
• Last update: 10.03.2025, 11:43 AM CET