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poms1334-sup-0001-AppendixS1-S22.pdfapplication/PDF332KAppendix S1: Proof of Proposition 1. Appendix S2: Proof of Proposition 2. Appendix S3: Proof of Lemma 1. Appendix S4: Proof of Lemma 2. Appendix S5: Proof of Proposition 3. Appendix S6: Proof of Proposition 4. Appendix S7: Proof of Proposition 5. Appendix S8: A Recursive Procedure that Facilitates inline image. Appendix S9: Details concerning the Operator inline image. Appendix S10: Continuity-based Derivations of Section 3.4. Appendix S11: Proof of Lemma 4. Appendix S12: Proof of Lemma 6. Appendix S13: Proof of Lemma 7. Appendix S14: Proof of Lemma 8. Appendix S15: Proof of Lemma 9. Appendix S16: Proof of Lemma 10. Appendix S17: Proof of Lemma 11. Appendix S18: Proof of Lemma 12. Appendix S19: Proof of Lemma 13. Appendix S20: Proof of Proposition 6. Appendix S21: Proof of Theorem 2. Appendix S22: Discussion on the Tatônnement Schemes in Section 4.

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