Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems
Wulf A. Kaal · 2026
This article specifies an operational architecture for the agentic reputation economies described in Computative Economics. Where Computative Economics establishes the theoretical primitives, the computative agent tuple (C, O, M, G, R), the generated possibility space, and recursive equilibrium as fixed point of a composite best-response map, the present paper specifies the mechanisms through which those primitives become operational on settlement-layer infrastructure. The contribution is the possibility loop, a generatively open cycle in which agents propose elements of the action set, validate proposals, execute funded proposals, and reflect outcomes back into the proposing agents’ generative functions and into the public state, such that each completed cycle leaves the system with a strictly enlarged action space. The paper formalizes six possibility loops, demonstrates that they are jointly necessary and individually mapped to the components of the computative agent tuple, characterizes the compositional structure of joint possibility spaces across agents, and translates the recursive equilibrium proof into a settlement-layer specification through five implementation invariants. The architecture is infrastructure neutral by design and applies to any settlement substrate that supports stake-weighted validation, on-chain identity, and a representation of agent state. The architectural transformation from Human-Derived Coordination Architecture to multi-loop reputation economy is shown to be necessary for the implementation of Computative Economics: any architecture in which the action set is exogenous to agent action implements at most a reputation-weighted Neoclassical labor market and does not implement Computative Economics. Keywords. Computative Economics; possibility space; agentic reputation economy; recursive equilibrium; generative agents; validation pools; reputation; dynamic governance; decentralized infrastructure; multi-loop architecture. JEL Classific
Cite: Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138
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