mirror of
https://github.com/lux-apps/papers.git
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zeekay
dd93cb41f7
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.
Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
/ \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
sweep across body text. Also fixed broken math segment
`$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.
PDFs rebuilt for the full Tier-2/3 set.
Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
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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Zach Kelling\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Partners Limited Limited}\\
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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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