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poms1335-sup-0001-AppendixS1-S6.pdfapplication/PDF234KAppendix S1: Proofs of Lemmas. Appendix S2: Proofs of Propositions. Appendix S3: Detailed Discussion for Remark 1. Appendix S4: Proof of Corollary 1. Appendix S5: A Further Discussion on the Result in Proposition 3. Appendix S6: Nash Equilibrium When inline image (i = 1,2).

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