Mathematics and Economics

(Michael S) #1
Egoism

Second Welfare Theorem


Some (unplausible) preferences have to be ruled out:
Example
Hateful Society:Ui=mi− 2 mjfor two agentsi 6 =j. No consumption is
efficient.

Social Monotonicity
Forz∈RL+\{ 0 }and any allocationx, there exists a redistribution (zi)
with


zi=zsuch that

Ui(x+z)>Ui(x)
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