% ============================================================================ % UQO Working Paper Template — Economics / Finance % ============================================================================ \documentclass[12pt,letterpaper]{article} % --- Encoding & Language --- \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[english]{babel} % --- Page Layout --- \usepackage[ letterpaper, top=1in, bottom=1in, left=1in, right=1in ]{geometry} % --- Typography --- \usepackage{mathptmx} % Times-like font (text + math) \usepackage{microtype} % Improved typographic refinements \usepackage{setspace} \onehalfspacing % 1.5 line spacing % --- Math --- \usepackage{amsmath,amssymb,amsthm} % --- Theorem Environments --- \newtheorem{proposition}{Proposition} \newtheorem{definition}{Definition} \newtheorem{hypothesis}{Hypothesis} % --- Tables --- \usepackage{booktabs} \usepackage{tabularx} \usepackage{multirow} \usepackage{threeparttable} \usepackage{siunitx} \sisetup{ input-symbols = {()}, table-format = -1.3, parse-numbers = false } % --- Figures --- \usepackage{graphicx} \usepackage{subcaption} \usepackage{float} % --- Colors & Links --- \usepackage[dvipsnames]{xcolor} \usepackage[ colorlinks = true, linkcolor = NavyBlue, citecolor = NavyBlue, urlcolor = NavyBlue, breaklinks = true ]{hyperref} % --- Bibliography --- \usepackage[authoryear,round,semicolon]{natbib} \bibliographystyle{aer} % --- Captions --- \usepackage[ font = small, labelfont = bf, labelsep = period, justification = justified, singlelinecheck = false ]{caption} % --- Headers & Footers --- \usepackage{fancyhdr} \pagestyle{fancy} \fancyhf{} \renewcommand{\headrulewidth}{0pt} \fancyfoot[C]{\thepage} % --- Section Formatting --- \usepackage{titlesec} \titleformat{\section}{\large\bfseries}{\thesection.}{0.5em}{} \titleformat{\subsection}{\normalsize\bfseries}{\thesubsection.}{0.5em}{} \titleformat{\subsubsection}{\normalsize\itshape}{\thesubsubsection.}{0.5em}{} % --- Appendix Support --- \usepackage[toc,page]{appendix} % --- Algorithm Support --- % --- Misc --- \usepackage{enumitem} \setlist{nosep,leftmargin=*} % ============================================================================ % METADATA — Edit these fields for each working paper % ============================================================================ \newcommand{\WPnumber}{8} \newcommand{\WPtitle}{Prediction Markets as Arrow--Debreu Securities: Evidence from Polymarket} \newcommand{\WPsubtitle}{State Prices, No-Arbitrage Bounds and Macroeconomic News in Blockchain-Based Contingent Claims} \newcommand{\WPdate}{October 2026} \newcommand{\WPversion}{1.1} \newcommand{\WPabstract}{% Negative-risk events on Polymarket list one binary contract for every outcome of a decision and settle exactly one of them at one dollar, so that their prices are observable analogues of Arrow--Debreu state prices. We use the five-outcome market on the June 2026 FOMC decision (146 daily closes, December 2025 to May 2026) and the seventeen-contract market on the 2024 U.S.\ presidential election (304 daily closes) to ask how the Arrow--Debreu pricing restrictions fare in a blockchain market. Because spanning is built into the contract design, the testable content is the law of one price for the complete set of claims, whose executable no-arbitrage bounds we derive from the platform's minting and conversion mechanics. The sum of state prices averages 1.017 (Fed) and 1.015 (election); the overround is statistically positive but of the order of the quoted half-spreads of the low-priced legs, declines steadily towards resolution, reverts within two days, and is bracketed by the bid- and ask-side sums of the order book. It has the wrong sign to be explained by the time value of money, which places the complete set below one. The normalised prices define a risk-neutral distribution over the FOMC decision whose mean---a Polymarket analogue of the futures-implied expected policy change---moves two to five times more, in variance terms, on FOMC and employment-report days than on other days, while weekend trading carries about one third of weekday variance. Once Polymarket closes are aligned to the U.S.\ trading calendar and lag orders are chosen by information criteria, daily changes in this measure neither lead nor lag the ten-year Treasury yield, the S\&P~500, the VIX or Bitcoin. We document how a one-day misalignment of blockchain time stamps and a minimum-$p$ lag search generated spurious lead--lag findings in an earlier version.% } \newcommand{\WPkeywords}{prediction markets, Arrow--Debreu securities, state prices, law of one price, monetary policy expectations, macroeconomic announcements, Polymarket} \newcommand{\WPjel}{G13, G14, E52, D47, C58} % --- Author --- \newcommand{\WPauthor}{Simon-Pierre Boucher} \newcommand{\WPaffiliation}{% Département des sciences administratives\\ Université du Québec en Outaouais% } \newcommand{\WPemail}{simon-pierre.boucher@uqo.ca} \newcommand{\WPaddress}{% Gatineau -- Pavillon Alexandre-Taché\\ 283, boulevard Alexandre-Taché\\ Gatineau, Québec, Canada J9A 1L8% } % ============================================================================ % DOCUMENT % ============================================================================ \begin{document} % --- Title Page --- \input{sections/titlepage} % --- Main Body --- \input{sections/introduction} \input{sections/literature} \input{sections/theoretical} \input{sections/data} \input{sections/methodology} \input{sections/results} \input{sections/robustness} \input{sections/conclusion} % --- References --- \newpage \bibliography{references} % --- Appendix --- \input{appendix/appendix} \end{document}