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1% Stand-alone wrapper to compile the theory of WP18 on its own:2%   cd paper && latexmk -pdf appendix_proofs_standalone.tex3% It inputs the model section, the statements (sections/equilibrium.tex) and the4% proofs (appendix_proofs.tex). Cross-references to the numerical sections and5% figures of the full paper are undefined here (warnings only, no errors).6\documentclass[12pt,letterpaper]{article}7\usepackage[utf8]{inputenc}8\usepackage[T1]{fontenc}9\usepackage[english]{babel}10\usepackage[letterpaper,top=1in,bottom=1in,left=1in,right=1in]{geometry}11\usepackage{mathptmx}12\usepackage{microtype}13\usepackage{setspace}14\onehalfspacing15\usepackage{amsmath,amssymb,amsthm}16\usepackage{booktabs}17\usepackage{graphicx}18\graphicspath{{figures/}}19\usepackage[dvipsnames]{xcolor}20\usepackage[colorlinks=true,linkcolor=NavyBlue,citecolor=NavyBlue,urlcolor=NavyBlue]{hyperref}21\usepackage[authoryear,round,semicolon]{natbib}22\bibliographystyle{aer}23\usepackage{enumitem}24\setlist{nosep,leftmargin=*}25\usepackage[toc,page]{appendix}2627% --- Theorem Environments (WP18) ---28\theoremstyle{plain}29\newtheorem{proposition}{Proposition}30\newtheorem{lemma}{Lemma}31\newtheorem{corollary}{Corollary}32\newtheorem{theorem}{Theorem}33\theoremstyle{definition}34\newtheorem{assumption}{Assumption}35\newtheorem{definition}{Definition}36\theoremstyle{remark}37\newtheorem{remark}{Remark}3839\input{tables/numbers}4041\title{WP18 --- Model, propositions and proofs\\ \large (stand-alone compilation of the theory sections)}42\author{Simon-Pierre Boucher}43\date{October 2026}4445\begin{document}46\maketitle47\setcounter{section}{4}48\input{sections/model}49\input{sections/equilibrium}50\bibliography{references}51\begin{appendices}52\input{appendix_proofs}53\end{appendices}54\end{document}55