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Econometrica supplementary material supplement to “a unique costly contemplation representation”.
| Content Provider | CiteSeerX |
|---|---|
| Author | Ergin Sarver, Todd |
| Abstract | This online supplement provides additional material to accompany the printed paper, henceforth denoted ES. In Section S.1, we review some mathematical background on Fenchel duality used in the proof of the representation and uniqueness results in ES. In Section S.2, we establish the necessity of the L-continuity axiom for the signed RFCC representation defined in Appendix C. Section S.3 includes the details of the proof of Proposition 1, which constructs the function V in a signed RFCC representation. Finally, in Section S.4, we give a proof of Equation (24), which is used in the proof of Theorem 6, characterizing constant cost functions in a signed RFCC representation. S.1. MATHEMATICAL BACKGROUND: FENCHEL DUALITY IN THISSECTIONwe present some general mathematical results that are used to prove the representation and uniqueness theorems in ES. The results will center around a classic duality relationship from convex analysis. Throughout this section, let X be a real Banach space and let X ∗ denote the space of all continuous linear functionals on X. We now introduce the standard definition of the subdifferential of a function. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Signed Rfcc Representation Mathematical Background Convex Analysis Online Supplement Classic Duality Relationship Rfcc Representation Additional Material Uniqueness Theorem Fenchel Duality Thissectionwe Real Banach Space Fenchel Duality Printed Paper General Mathematical Result Standard Definition L-continuity Axiom Uniqueness Result Constant Cost Function Continuous Linear Functionals |
| Content Type | Text |
