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Concave Pro-rata Games: Relaxing strict concavity
Authors:
(1) Nicholas A. G. Johnson ([email protected]);
(2) Theo Diamandis ([email protected]);
(3) Alex Evans ([email protected]);
(4) Henry de Valence ([email protected]);
(5) Guillermo Angeris ([email protected]).
Table of Links
1.1 Symmetric pure strict equilibrium
2 Batched decentralized exchanges
C Relaxing strict concavity
The statement above follows from the negation of both (a) and (b). This equivalence has a simple interpretation: if the point (0, 0) is collinear with any other two points on the graph of f, {(s, f(s)) | s > 0}, then the function f is a piecewise function with a linear segment starting at 0. The converse of this is that if the function f has no linear segment around 0 (i.e., every linear over estimator around 0 lies strictly above f) then any chord must lie strictly below the function.
This paper is available on arxiv under CC BY 4.0 DEED license.
L O A D I N G
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