Kweku Opoku-Agyemang
Working Paper Class 48
This paper introduces a novel economic framework inspired by quasicrystals, proposing an entropy-driven model of resource allocation that achieves complete coverage without periodic repetition. We conceptualize an economy as a high-entropy system where agents—households, firms, or institutions—interact under adaptive rules, generating ordered yet non-repeating configurations of production, consumption, and exchange. Drawing on the mathematics of quasicrystals, we formalize a dynamic allocation mechanism wherein resource flows self-organize into a stable, gapless state resistant to predictable cycles. Analytical results establish conditions for aperiodic order, revealing trade-offs between adaptability and coordination costs, and reinterpreting traditional mechanisms like market clearing as dynamic, local processes. We derive implications for resilience and explore applications in production systems, cryptocurrency ecosystems, and adaptive policy design, challenging periodicity as a cornerstone of economic dynamics.
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Opoku-Agyemang, Kweku A. (2025). "Aperiodic Order in Resource Allocation: An Economic Quasicrystal Approach to Decentralized Systems." Machine Learning X Doing Working Paper Class 48. Machine Learning X Doing.
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