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Household Nash Equilibrium with Voluntarily Contributed Public Goods

  • Valerie Lechene
  • Ian Preston

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 homogneity 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.

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File URL: http://www.economics.ox.ac.uk/materials/working_papers/paper226.pdf
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Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 226.

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Date of creation: 01 Mar 2005
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Handle: RePEc:oxf:wpaper:226
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