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Appendix S1. Model Discussion.

Appendix S2. Proofs.

Appendix S3. Simplified Models with Non-perfectly Correlated Demands.

AppendixS4. Random Allocation of Discounted Units.

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Please note: Wiley Blackwell is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.