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Market efficiency at least requires the absence of weak arbitrage opportunities, but this is not sufficient to establish a situation where the market is sensitive, i.e., where it "fully reflects" or "rapidly adjusts to" some information…

General Finance · Quantitative Finance 2026-02-25 Gabriel Frahm

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

We study the informational efficiency of a market with a single traded asset. The price initially differs from the fundamental value, about which the agents have noisy private information (which is, on average, correct). A fraction of…

Trading and Market Microstructure · Quantitative Finance 2014-01-10 Gani Aldashev , Timoteo Carletti , Simone Righi

We study a simple model of an asset market with informed and non-informed agents. In the absence of non-informed agents, the market becomes information efficient when the number of traders with different private information is large enough.…

Trading and Market Microstructure · Quantitative Finance 2010-04-29 Fabio Caccioli , Matteo Marsili

Given a stock price process, we analyse the potential of arbitrage by insiders in a context of short-selling prohibitions. We introduce the notion of minimal supermartingale measure, and we analyse its properties in connection to the…

Mathematical Finance · Quantitative Finance 2022-01-13 Delia Coculescu , Aditi Dandapani

We undertake a study of markets from the perspective of a financial agent with limited access to information. The set of wealth processes available to the agent is structured with reasonable economic properties, instead of the usual…

General Finance · Quantitative Finance 2010-10-12 Constantinos Kardaras

We explore a nuance to 'no arbitrage' in relation to 'information efficiency': acting immediately on an arbitrage is sometimes suboptimal; in such cases optimised trading can suppress the anticipation of predictable risk-outcomes, thereby…

Mathematical Finance · Quantitative Finance 2026-05-12 Kangda Ken Wren

In this paper we investigate the local risk-minimization approach for a semimartingale financial market where there are restrictions on the available information to agents who can observe at least the asset prices. We characterize the…

Probability · Mathematics 2014-11-20 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

We consider a financial market model with a single risky asset whose price process evolves according to a general jump-diffusion with locally bounded coefficients and where market participants have only access to a partial information flow.…

Portfolio Management · Quantitative Finance 2015-08-14 Claudio Fontana , Bernt Øksendal , Agnès Sulem

The information dynamics in finance and insurance applications is usually modeled by a filtration. This paper looks at situations where information restrictions apply such that the information dynamics may become non-monotone. A fundamental…

Probability · Mathematics 2021-10-12 Marcus C. Christiansen

It has been assumed that arbitrage profits are not possible in efficient markets, because future prices are not predictable. Here we show that predictability alone is not a sufficient measure of market efficiency. We instead propose to…

Statistical Mechanics · Physics 2009-11-10 R. Rothenstein , K. Pawelzik

In markets with budget-constrained buyers, competitive equilibria need not be efficient in the utilitarian sense, or maximise the seller's revenue. We consider a setting with multiple divisible goods. Competitive equilibrium outcomes, and…

Theoretical Economics · Economics 2025-04-09 Simon Finster , Paul W. Goldberg , Edwin Lock

We show that in a financial market given by semimartingales an arbitrage opportunity, provided it exists, can only be exploited through short selling. This finding provides a theoretical basis for differences in regulation for financial…

Mathematical Finance · Quantitative Finance 2025-11-21 Eckhard Platen , Stefan Tappe

A seller sells an object over time but is uncertain how the buyer learns their willingness-to-pay. We consider informational robustness under \textit{limited commitment}, where the seller offers a price \textit{each period} to maximize…

Theoretical Economics · Economics 2025-09-10 Zihao Li , Jonathan Libgober , Xiaosheng Mu

We examine weak anticipations in discrete-time and continuous-time financial markets consisting of one risk-free asset and multiple risky assets, defining a minimal probability measure associated with the anticipation that does not depend…

Probability · Mathematics 2022-05-12 Geoff Lindsell

We study information disclosure in competitive markets with adverse selection. Sellers privately observe product quality, with higher quality entailing higher production costs, while buyers trade at the market-clearing price after observing…

Theoretical Economics · Economics 2025-10-03 Andrea Di Giovan Paolo , Jose Higueras

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

We consider the pricing of derivatives in a setting with trading restrictions, but without any probabilistic assumptions on the underlying model, in discrete and continuous time. In particular, we assume that European put or call options…

Mathematical Finance · Quantitative Finance 2015-06-09 Alexander M. G. Cox , Zhaoxu Hou , Jan Obloj

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

We model an informed agent with information about the future value of an asset trying to maximize profits when subjected to a transaction cost as well as a market maker tasked with setting fair transaction prices. In a single auction model,…

Trading and Market Microstructure · Quantitative Finance 2020-07-29 Weston Barger , Ryan Donnelly
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