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81 lines
3.1 KiB
TeX
81 lines
3.1 KiB
TeX
\documentclass[11pt]{article}
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\usepackage{../shared/luxcover}
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\usepackage{amsmath,amssymb,amsthm}
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\usepackage{mathtools}
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\usepackage{bm}
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\usepackage{graphicx}
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\usepackage{booktabs}
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\usepackage{hyperref}
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\usepackage{enumitem}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{xcolor}
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\usepackage{array}
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\usepackage{multirow}
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\usepackage{float}
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\usepackage{siunitx}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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\newtheorem{theorem}{Theorem}
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{definition}{Definition}
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\newtheorem{remark}{Remark}
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\title{\textbf{Appchain Economics: Incentive Design for Application-Specific Chains}\\
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\large A Comprehensive Economic Framework for Appchain Creation, Validation, Fee Sharing,
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and Token Bootstrapping on Lux Network}
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\author{
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Lux Research\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Industries Inc}\\
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\texttt{[email protected]}
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}
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\date{2023}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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Application-specific blockchains (\emph{appchains}) are a defining architectural primitive of
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the Lux Network, enabling independent consensus, custom virtual machines, and bespoke
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economic rules for each application domain. Yet the economic design of appchains---how they
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attract validators, generate sustainable fee revenue, share value with the Primary Network,
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and bootstrap native tokens---has received limited formal treatment. We present a
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comprehensive economic framework for Lux appchains, covering: (i) a cost model for appchain
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creation and operation across five throughput tiers; (ii) a mechanism design analysis of
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validator incentives for appchain participation including the opportunity-cost constraint;
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(iii) a formal treatment of cross-appchain MEV and its redistribution; (iv) a fee-sharing
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protocol between appchains and the Primary Network; (v) a token bootstrapping mechanism using
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liquidity-weighted emission schedules; and (vi) an elastic scaling model that dynamically
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adjusts validator set size to demand. We calibrate all models against observed data from 47
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production appchains as of 2025 and validate the fee-sharing mechanism with a
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2.5-year retrospective analysis. Our framework reveals that appchain economics exhibit strong
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network effects: each additional appchain increases the security-adjusted yield for all
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Primary Network validators, creating a positive feedback loop that accelerates Lux ecosystem
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growth.
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\end{abstract}
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\tableofcontents
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\newpage
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%%==========================================================================
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\input{sections/01-introduction}
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\input{sections/02-background}
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\input{sections/03-appchain-cost-model}
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\input{sections/04-validator-incentive-mechanism}
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\input{sections/05-cross-appchain-mev}
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\input{sections/06-fee-sharing-protocol}
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\input{sections/07-appchain-token-bootstrapping}
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\input{sections/08-elastic-appchain-scaling}
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\input{sections/09-network-effects-and-ecosystem-dynamics}
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\input{sections/10-implementation-considerations}
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\input{sections/11-security-analysis}
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\input{sections/99-conclusion}
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\end{document}
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