# kaal:claim:6655138-035

**Claim.** The expected coverage of the joint possibility space generated by n agents under the composition operator strictly exceeds the expected coverage of the union of their individual possibility spaces whenever at least one quality dimension is super-additive in agent collaboration.

**Type.** mechanism  **Support.** argued

**Holds when.**

- at least one quality dimension is super-additive in collaboration
- senior-reputation validator pools are non-empty

**Source quote.**

> The expected coverage of the joint possibility space generated by n agents under the composition operator Φ strictly exceeds the expected coverage of the union of their individual possibility spaces, when at least one quality dimension is super-additive in agent collaboration.

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), IX.B Proposition 2 (Compositional gain), page 23

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

**Verify.** sha256 of source PDF `52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Possibility%20Loops%20An%20Operational%20Architecture%20for%20Computative%20Economics%20in%20Agent%20Coordination%20Systems.pdf

**Topics.** institutional-design

**Keywords.** proposition-2, compositional-gain, joint-possibility-space, coverage

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