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A seller with one unit of a good faces N\geq3 buyers and a single competitor who sells one other identical unit in a second-price auction with a reserve price. Buyers who do not get the seller's good will compete in the competitor's…

Theoretical Economics · Economics 2021-10-26 Kenneth Hendricks , Thomas Wiseman

Informed traders need to trade fast in order to profit from their private information before it becomes public. Fast electronic markets provide such liquidity. Slow markets provide execution in an auction based trading floor. Hybrid markets…

Trading and Market Microstructure · Quantitative Finance 2020-01-20 Vassilis Polimenis

We consider a revenue optimizing seller selling a single item to a buyer, on whose private value the seller has a noisy signal. We show that, when the signal is kept private, arbitrarily more revenue could potentially be extracted than if…

Computer Science and Game Theory · Computer Science 2017-07-20 Hu Fu , Chris Liaw , Pinyan Lu , Zhihao Gavin Tang

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

A traditionally desired goal when designing auction mechanisms is incentive compatibility, i.e., ensuring that bidders fare best by truthfully reporting their preferences. A complementary goal, which has, thus far, received significantly…

Cryptography and Security · Computer Science 2015-03-18 Marco Comi , Bhaskar DasGupta , Michael Schapira , Venkatakumar Srinivasan

We initiate the study of markets for private data, though the lens of differential privacy. Although the purchase and sale of private data has already begun on a large scale, a theory of privacy as a commodity is missing. In this paper, we…

Computer Science and Game Theory · Computer Science 2011-11-30 Arpita Ghosh , Aaron Roth

We study a continuous time economy where throughout time, insiders receive private signals regarding the risky assets' terminal payoff. We prove existence of a partial communication equilibrium where, at each private signal time, the public…

Pricing of Securities · Quantitative Finance 2024-03-21 Scott Robertson

In a very simple stock market, made by only two \emph{initially equivalent} traders, we discuss how the information can affect the performance of the traders. More in detail, we first consider how the portfolios of the traders evolve in…

Computational Finance · Quantitative Finance 2015-06-18 F. Bagarello , E. Haven

We develop from basic economic principles a continuous-time model for a large investor who trades with a finite number of market makers at their utility indifference prices. In this model, the market makers compete with their quotes for the…

Trading and Market Microstructure · Quantitative Finance 2015-09-10 Peter Bank , Dmitry Kramkov

We investigate a market with a normal-speed informed trader (IT) who may employ mixed strategy and multiple anticipatory high-frequency traders (HFTs) who are under different inventory pressures, in a three-period Kyle's model. The pure-…

Trading and Market Microstructure · Quantitative Finance 2024-03-14 Ziyi Xu , Xue Cheng

An ability to postpone one's execution without penalty provides an important strategic advantage in high-frequency trading. To elucidate competition between traders one has to formulate to a quantitative theory of formation of the execution…

Trading and Market Microstructure · Quantitative Finance 2014-06-20 Peter Lerner

In finance, the weak form of the Efficient Market Hypothesis asserts that historic stock price and volume data cannot inform predictions of future prices. In this paper we show that, to the contrary, future intra-day stock prices could be…

Trading and Market Microstructure · Quantitative Finance 2019-08-23 David Byrd , Tucker Hybinette Balch

This paper studies learning in markets with aggregate uncertainty about whether trade is efficient. A long-lived seller offers prices to buyers, who are short-lived and arrive according to a Poisson process. A hidden state determines…

Theoretical Economics · Economics 2026-01-14 Justus Preusser

Financial markets exhibit an apparent paradox: while directional price movements remain largely unpredictable--consistent with weak-form efficiency--the magnitude of price changes displays systematic structure. Here we demonstrate that…

Trading and Market Microstructure · Quantitative Finance 2025-12-19 Mainak Singha

In economics, there are many ways to describe the interaction between a "seller" and a "buyer". The most common one, with which we interact almost every day, is selling for a fixed price. This option is perfect for selling a mass product,…

General Finance · Quantitative Finance 2024-07-10 O. A. Malafeyev , I. E. Khomenko

We propose and analyze differentially private (DP) mechanisms for call auctions as an alternative to the complex and ad-hoc privacy efforts that are common in modern electronic markets. We prove that the number of shares cleared in the DP…

Computer Science and Game Theory · Computer Science 2020-02-14 Emily Diana , Hadi Elzayn , Michael Kearns , Aaron Roth , Saeed Sharifi-Malvajerdi , Juba Ziani

We consider a pair of traders in a market where the information available to the second trader is a strict subset of the information available to the first trader. The traders make prices based on the information available concerning a…

Mathematical Finance · Quantitative Finance 2024-01-24 George Bouzianis , Lane P. Hughston , Leandro Sánchez-Betancourt

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

Starting from the observation of the real trading activity, we propose a model of a stockmarket simulating all the typical phases taking place in a stock exchange. We show that there is no need of several classes of agents once one has…

Condensed Matter · Physics 2009-10-31 Lorenzo Matassini , Fabio Franci

This paper studies inference in first-price and second-price sealed-bid auctions with many bidders, using an asymptotic framework where the number of bidders increases while the number of auctions remains fixed. Our approach enables…

Econometrics · Economics 2026-04-28 Federico A. Bugni , Yulong Wang