Added Bitcoin Sections

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alex 2022-10-26 21:56:30 -06:00
parent 9bc350b2b3
commit 347852b6d3
10 changed files with 212 additions and 3 deletions

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%----------------------------------------------------------------------------------------
\documentclass[aspectratio=169,xcolor=dvipsnames]{beamer} \usetheme{SimpleDarkBlue} \usepackage{hyperref}
\usepackage{graphicx} % Allows including images
\usepackage{framed}
\usepackage{amssymb}
\usepackage{booktabs} % Allows the use of \toprule, \midrule and \bottomrule in tables
\usepackage{textpos}
%{\includegraphics[width=\paperwidth,height=\paperheight,keepaspectratio]{./img/Mines_background1.pdf}}
@ -32,7 +34,12 @@
\begin{document}
%------------------------------------------------
\section{Introduction \& Overview}
\input{./Sections/Intro.tex}
\input{./Sections/Key_Questions.tex}
\input{./Sections/Bitcoin_Incentives.tex}
\input{./Sections/Mining_Structure.tex}
\input{./Sections/Mining_Model.tex}
\input{./Sections/Mining_elast.tex}
\section{Theory}
\section{History}
%\subsection{Key Events}

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%------------------------------------------------
\begin{frame}{Bitcoin Mining Rewards}
Two sources of income for Bitcoin Miners, a Block Reward and a User fee
\newline
\begin{center}
Constant Miner Reward
\begin{formal}
``The steady addition of a constant amount of new coins is analogous to gold miners expending resources to add gold to circulation. In our case, it is CPU time and electricity that is expended.''
\begin{list}{$-$}
\item{Satoshi Nakomoto}
\end{list}
\end{formal}
\end{center}
%Current reward is 6.5 Bitcoin
\begin{center}
Variable User Fees
\begin{formal}
%The incentive can also be funded with transaction fees. If the output value of a transaction is less than its input value, the difference is a transaction fee that is added to the incentive value of the block containing the transaction. Once a predetermined number of coins have entered circulation, the incentive can transition entirely to transaction fees and be completely inflation free.
``The incentive can also be funded with transaction fees\ldots Once a predetermined number of coins have entered circulation, the incentive can transition entirely to transaction fees''
\begin{list}{$-$}
\item{Satoshi Nakomoto}
\end{list}
\end{formal}
\end{center}
%Currently ranges from 1\% to 2\% of reward, but has spiked to 25\%
\end{frame}

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%------------------------------------------------
\begin{frame}{Questions}
\begin{frame}{Key Questions}
\textbf{What are the long run regional welfare changes that can be expected as Bitcoin mining becomes a co-product of oil?}
\pause
\begin{itemize}
\item What type of incentives are created?
\subitem{test}
\item What is the regional distribution of these incentives?
\item How might producers respond in each region?
\item How will consumer and producer welfare change?
\begin{itemize}
\item{Micro model of Bitcoin mining \& oil production choices}
\end{itemize}
\pause
\item What is the regional distribution of these incentives?
\begin{itemize}
\item{Collection of well attribute data}
\end{itemize}
\pause
\item How might producers respond in each region?
\begin{itemize}
\item{Econometric estimates state-basin level elasticty of supply}
\end{itemize}
\pause
\item How will consumer and producer welfare change?
\begin{itemize}
\item{Model revenue changes}
\item{Engineering based pollution estimates}
\item{Local externality counterfactual}
\end{itemize}
\end{itemize}
\pause
\textbf{Results in counterfactual oil production by geologic basin and state, in key metrics.}
\end{frame}

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\begin{frame}{Bitcoin Mining Market Structure}
\begin{center}
\includegraphics[width=\textwidth,height=0.8\textheight,keepaspectratio]{./img/SDMining.png}
\end{center}
\end{frame}

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%------------------------------------------------
\begin{frame}{Bitcoin Mining}
\begin{columns}[t] % The "c" option specifies centered vertical alignment while the "t" option is used for top vertical alignment
\column{.45\textwidth} % Left column and width
\textbf{Rewards and Fees}
\begin{enumerate}
\item{Awarded by ``lottery''}
\item{Lottery completes \(\approx \) every 10 minutes}
\item{Risk pools smooth returns}
\end{enumerate}
\column{.5\textwidth} % Right column and width
\textbf{Costs}
\begin{enumerate}
\item{Fixed cost: Specialized computers }
\item{Marginal cost: Electricity}
\end{enumerate}
\end{columns}
\mbox{}
\newline
\newline
\textbf{Model of single period returns}
\newline
\(Revenue=\text{Total Reward}\cdot \frac{\text{Tickets Owned}}{\text{All Tickets}}\)
\newline
\(Costs=\text{Electricty used}\cdot\text{Price of Elctricty}\)
\newline
\(\text{Tickets Owned}=f(\text{Computer Output},\text{Electricty Used})\)
\newline
\(\text{Total Reward}=\text{Mining Reward} + \text{User Fees}\)
\end{frame}

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\begin{frame}{Bitcoin Mining Market Structure}
\begin{block}{Revenue}
\begin{equation}
R_{i,t}=\eta_{t}\cdot\frac{q_{i}}{Q^{-i}_{t}}
\end{equation}
\end{block}
Where \(R_{i,t}\) is the revenue of miner \(i\in I\), at time t. \(q_{i}\) is the hash power of a miner i, and \(Q^{-i}_{t}\) is the hash of all other miners. The miner reward is \(\eta\)
\begin{block}{Revenue change from t to t+1}
\begin{align*}
% R_{i,t+1}-R_{i,t}=\eta \cdot\frac{q_{i}}{Q^{-i}_{t+1}-Q^{-i}_{t}}
% \\
\%\Delta R=\%\Delta P_{btc}(1-\epsilon)
\end{align*}
\end{block}
If the bitcoin price elasticity of hash \(\epsilon\) is elastic, than a decrease in price will \textbf{\emph{increase}} revenue, for low marginal cost producers.
\end{frame}

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\mode<presentation>
% Settings
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% \useoutertheme{simpleinfo}
% \useoutertheme{miniframes} % Alternatively: miniframes, infolines, split
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% \setbeamertemplate{footline} % To remove the footer line in all slides uncomment this line
\setbeamertemplate{footline}[frame number] % To replace the footer line in all slides with a simple slide count uncomment this line
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