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We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient…

Computer Science and Game Theory · Computer Science 2013-06-20 Evangelos Markakis , Orestis Telelis

We study a finite-horizon dynamic wholesale-price contract between a manufacturer and a retailer, both of whom observe only sales, rather than the true demand. When the retailer stocks out, unmet demand is unobserved, so both parties update…

Computer Science and Game Theory · Computer Science 2026-03-17 Michalis Deligiannis , Marco Scarsini , Xavier Venel

The paper presents a step forward into the development of the theory of meaning. Stock and financial markets are examined from communication-theoretical perspective on the dynamics of information and meaning. This study focuses on the link…

Statistical Finance · Quantitative Finance 2023-12-19 Inga Ivanova

This paper conducts an empirically study on the trade package composed of a sequence of consecutive purchases or sales of 23 stocks in Chinese stock market. We investigate the probability distributions of the execution time, the number of…

Trading and Market Microstructure · Quantitative Finance 2013-09-09 Fei Ren , Wei-Xing Zhou

We introduce a simple stochastic volatility model, whose novelty consists in taking into account hitting times of the asset price, and study the optimal stopping problem corresponding to a put option whose time horizon (after the asset…

Pricing of Securities · Quantitative Finance 2017-03-29 Sigurd Assing , Yufan Zhao

This paper presents a derivation of the explicit price for the perpetual American put option time-capped by the first drawdown epoch beyond a predefined level. We consider the market in which an asset price is described by geometric L\'evy…

Probability · Mathematics 2025-09-01 Zbigniew Palmowski , Paweł Stȩpniak

Repeated multi-unit auctions, where a seller allocates multiple identical items over many rounds, are common mechanisms in electricity markets and treasury auctions. We compare the two predominant formats: uniform-price and discriminatory…

Computer Science and Game Theory · Computer Science 2025-10-23 Marius Potfer , Vianney Perchet

Recent spectrum auctions in the United Kingdom, and some proposals for future auctions of spectrum in the United States, are based on preliminary price discovery rounds, followed by calculation of final prices for the winning buyers. For…

Computer Science and Game Theory · Computer Science 2012-09-12 Vineet Abhishek , Bruce Hajek

Most betting market models employ static frameworks that condition decisions on final odds. Using a unique dataset of interim odds from Japanese horse racing, this study examines the validity of such static analyses by asking whether there…

General Economics · Economics 2025-09-19 Hiroaki Hanyu , Shunsuke Ishii , Suguru Otani , Kazuhiro Teramoto

Trade prices of about 1000 New York Stock Exchange-listed stocks are studied at one-minute time resolution over the continuous five year period 2018--2022. For each stock, in dollar-volume-weighted transaction time, the discrepancy from a…

Pricing of Securities · Quantitative Finance 2023-05-16 William H. Press

Given a finite set of European call option prices on a single underlying, we want to know when there is a market model which is consistent with these prices. In contrast to previous studies, we allow models where the underlying trades at a…

Mathematical Finance · Quantitative Finance 2019-07-17 Stefan Gerhold , I. Cetin Gülüm

Auctions for perishable goods such as internet ad inventory need to make real-time allocation and pricing decisions as the supply of the good arrives in an online manner, without knowing the entire supply in advance. These allocation and…

Computer Science and Game Theory · Computer Science 2012-10-05 Gagan Goel , Vahab Mirrokni , Renato Paes Leme

In this paper, we present a multi-period trading model in the style of Kyle (1985)'s inside trading model, by assuming that there are at least two insiders in the market with long-lived private information, under the requirement that each…

Trading and Market Microstructure · Quantitative Finance 2011-03-07 Fuzhou Gong , Hong Liu

This paper develops algorithms to solve strong-substitutes product-mix auctions. That is, it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their…

Computer Science and Game Theory · Computer Science 2023-07-11 Elizabeth Baldwin , Paul W. Goldberg , Paul Klemperer , Edwin Lock

Auction is applied for trade with various mechanisms. A simple but practical question is which mechanism, typically first-price or second-price auctions, is preferred from the perspective of bidders or sellers. A celebrated answer is…

Computer Science and Game Theory · Computer Science 2026-02-20 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

Optimization and Control · Mathematics 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

Distributions of assets returns exhibit a slight skewness. In this note we show that our model of endogenous price formation \cite{Reimann2006} creates an asymmetric return distribution if the price dynamics are a process in which…

Physics and Society · Physics 2008-12-02 Stefan Reimann

Stylized facts can be regarded as constraints for any modeling attempt of price dynamics on a financial market, in that an empirically reasonable model has to reproduce these stylized facts at least qualitatively. The dynamics of market…

Computational Finance · Quantitative Finance 2010-04-12 Stefan Reimann , Andreas Tupak

This survey outlines a general and modular theory for proving approximation guarantees for equilibria of auctions in complex settings. This theory complements traditional economic techniques, which generally focus on exact and optimal…

Computer Science and Game Theory · Computer Science 2016-07-27 Tim Roughgarden , Vasilis Syrgkanis , Eva Tardos

We construct an utility-based dynamic asset pricing model for a limit order market. The price is nonlinear in volume and subject to market impact. We solve an optimal hedging problem under the market impact and derive the dynamics of the…

Pricing of Securities · Quantitative Finance 2014-10-31 Masaaki Fukasawa