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Sunk capital and repeated interaction in Nakamoto consensus

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  • Wright, Craig S.

Abstract

Budish (2025) shows that the flow cost of Nakamoto-style trust scales linearly with the value secured, relying on a one-shot, free-entry formulation in which interaction is memoryless. The Nakamoto protocol violates the memoryless property through two hardcoded temporal structures: a 100-block coinbase maturity rule and a 2016-block difficulty adjustment. Both make future payoffs history-dependent. Jointly with sunk capital and pseudonymity, these features introduce continuation values, asymmetric attack costs, and Beckerian deterrence—forces the model eliminates by construction. The three assumptions analysed here are central to the model’s application to proof-of-work systems as they exist.

Suggested Citation

  • Wright, Craig S., 2026. "Sunk capital and repeated interaction in Nakamoto consensus," Economics Letters, Elsevier, vol. 263(C).
  • Handle: RePEc:eee:ecolet:v:263:y:2026:i:c:s0165176526001345
    DOI: 10.1016/j.econlet.2026.112940
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Systems; Standards; Regimes; Government and the Monetary System
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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