Public goods Continuous case Benchmark max au+(I-a)u, 8182 +(1-a) aG G ox C G OG Ou,/Ou Ou/a aG/ Ox, aG/Ox
Public goods • Continuous case: • Benchmark: 1 2 1 2 , max (1 ) g g au a u + − 1 2 1 1 1 2 2 2 (1 ) (1 ) (1 ) u u u a a a G G x u u u a a a G G x + − = + − = − 1 1 2 2 1 2 1 u u u u G x G x + =
Public goods · Samuelson condition ∑(G)=c(G)
Public goods • Samuelson condition: 1 ( ) ( ) I i i u G c G = =