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zeekay
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Restructured from flat .tex/.pdf files into per-paper subdirectories. Added Antje Worring as co-author on all papers. Synced PDFs to pdfs/ for download site.
43 lines
1.4 KiB
TeX
43 lines
1.4 KiB
TeX
\section{Simulation Results}
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\label{sec:simulation}
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\subsection{Setup}
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We simulate 1,000 epochs with:
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\begin{itemize}
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\item Initial pool: 10,000,000 LUX
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\item Validator set: 20 validators, equal delegation
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\item Gross staking yield: 7.3\% annual (0.02\% per epoch)
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\item Slashing events: 1 equivocation per 200 epochs (random validator)
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\item Deposit/withdrawal flows: stochastic, net positive growth of 5\% per 100 epochs
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\end{itemize}
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\subsection{Exchange Rate Trajectory}
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The sLUX/LUX rate increases steadily from 1.000 to 1.069 over 1,000 epochs (approximately 2.7 years), with two minor dips from slashing events:
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\begin{itemize}
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\item Epoch 187: equivocation, -0.15\% (fully absorbed by insurance)
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\item Epoch 523: equivocation, -0.08\% (fully absorbed by insurance)
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\item Epoch 789: equivocation, -0.21\% (partially socialized, insurance at 40\% capacity)
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\end{itemize}
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\subsection{Pool Growth}
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\begin{table}[H]
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\centering
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\caption{Pool metrics over simulation period.}
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\label{tab:pool_metrics}
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\begin{tabular}{lrrrr}
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\toprule
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\textbf{Metric} & \textbf{Epoch 0} & \textbf{Epoch 250} & \textbf{Epoch 500} & \textbf{Epoch 1000} \\
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\midrule
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Total pooled (M LUX) & 10.0 & 14.2 & 19.8 & 31.5 \\
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Exchange rate $\rho$ & 1.000 & 1.017 & 1.035 & 1.069 \\
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Insurance pool (M LUX) & 0 & 0.12 & 0.28 & 0.52 \\
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Insurance ratio & 0\% & 0.85\% & 1.41\% & 1.65\% \\
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Active validators & 20 & 22 & 25 & 28 \\
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\bottomrule
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\end{tabular}
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\end{table}
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