Natural Economic Wealth — Paper 14 Network Dynamics of the Qoin Economy: Adoption, Topology, and Resilience

Abstract

Papers 12 and 13 establish, in prose, that the Qoin economy grows through voluntary adoption driven by a structural incentive (the double remuneration asymmetry) and a self-reinforcing network effect, and that its distributed ledger architecture protects it from institutional destruction. Both claims are narrative. Neither is modelled. This paper treats the Qoin economy as what it already is beneath the ledger’s bookkeep- ing: agents with a local Qoin balance that rises on wealth creation and falls on wealth consumption, connected by a dynamic graph recording the physical delivery of wealth between them — not a payment network in which Qoin itself moves along edges, but closer to a reaction network, in which local state changes are triggered by relationships the graph records. Node arrival is the boundary event of Paper 12; edge arrival is each completed delivery. Three results follow. First, the qualitative adoption story of Papers 12–13 is a Bass diffusion process: an ordinary differential equation with a derivable S-curve, an inflec- tion point, and two coefficients — one tied to the unconditional attribution advantage available to currently unmonetised creators, the other to the compounding profile ad- vantage of existing participants. Second, profile-based selection (Paper 3, Paper 4) is a preferential-attachment mechanism, and preferential attachment produces heavy-tailed, plausibly scale-free degree distributions — which carries a specific, testable consequence: such networks are robust to random node loss but fragile to targeted removal of high- degree hubs. This bears directly and unfavourably on the claim, made in Paper 13, that the ledger’s technical decentralisation protects the Qoin economy from institutional at- tack: the ledger and the delivery network built on top of it are different graphs, and only one of them has been shown to be attack-resistant. Third, Paper 6’s community-bounded federation is, in network terms, a modularity-preserving design choice, and modularity is precisely the structural property that bounds the damage a targeted attack on one community can do to the others. This paper is analytical throughout: closed-form and asymptotic results, not simulation or empirical calibration against real Marketplace data. That is deliberately left as the next piece of work.