for “ Assigning Resources to Budget - Constrained Agents ” 1 Proof of Proposition 2 : Omitted Parts

    Abstract

    Throughout the proof, we assume that τ satisfies Property (M); i.e. there is a positive mass of agents who choose from (x, x ε) under τ. Note that Property (M) implies τ (x ε) > 0 since otherwise almost every agent chooses either x or some x ≥ x. Let f and g denote the density for F and G, respectively. Since f and g are bounded by assumption, we let M f… (More)

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