This is an online supplement containing proofs of key lemmas and theorems for "An Analysis of Voluntary Recycled Content Claims Under Demand Benefit and Uncertain Recycled Input Supply", where we focus on the problem of choosing the optimal recycled content claim under stochastic local recycled...

Manufacturer's often declare recycled content claims that hold for each batch (batch specific claims) or as recycled content averaged across batches (batch average claims). We study how a manufacturer's recycled content claim decision is impacted by demand for recycled content driven by...