kaal:claim:6655138-027

Reputation update functions on each surface must be continuous in the validation pool's resolution outcome, because discontinuities in reputation update destroy continuity of best-response correspondences and preclude application of Brouwer's fixed-point theorem.

Source quote, verbatim

The reputation update functions on each surface are continuous in the validation pool's resolution outcome. Discontinuities in reputation update destroy continuity of best-response correspondences and preclude application of Brouwer.

From

Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026), VII.D Architectural conditions for fixed-point existence, AC2, p. 21
https://ssrn.com/abstract=6655138 · source PDF

Cite as

Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138

Holds when

architectures relying on Brouwer for equilibrium existence

Classification

conditionsupport: arguedfailure: Discontinuous reputation updatefamily: reputation-system-gamingreputation

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