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poms1294-sup-0001-AppendixS1.docxWord document1131KAppendix S1. This appendix consists of two parts: A and B. In Appendix A, we present proofs for Lemmas 1–2, Theorems 1–3, Propositions 1 and 2, and Corollary 1. In Appendix B, we extend our results to systems with an infinite horizon.

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