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The design of revenue-maximizing combinatorial auctions, i.e. multi-item auctions over bundles of goods, is one of the most fundamental problems in computational economics, unsolved even for two bidders and two items for sale. In the…

机器学习 · 计算机科学 2016-06-15 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

Projection-free block-coordinate methods avoid high computational cost per iteration and at the same time exploit the particular problem structure of product domains. Frank-Wolfe-like approaches rank among the most popular ones of this…

最优化与控制 · 数学 2023-12-07 Immanuel Bomze , Francesco Rinaldi , Damiano Zeffiro

We consider derivatives written on multiple underlyings in a one-period financial market, and we are interested in the computation of model-free upper and lower bounds for their arbitrage-free prices. We work in a completely realistic…

最优化与控制 · 数学 2022-01-13 Ariel Neufeld , Antonis Papapantoleon , Qikun Xiang

Online optimization has been a successful framework for solving large-scale problems under computational constraints and partial information. Current methods for online convex optimization require either a projection or exact gradient…

机器学习 · 统计学 2018-06-15 Lin Chen , Christopher Harshaw , Hamed Hassani , Amin Karbasi

The Artificial Prediction Market is a recent machine learning technique for multi-class classification, inspired from the financial markets. It involves a number of trained market participants that bet on the possible outcomes and are…

机器学习 · 统计学 2014-08-18 Nathan Lay , Adrian Barbu

We provide a Fundamental Theorem of Asset Pricing and a Superhedging Theorem for a model independent discrete time financial market with proportional transaction costs. We consider a probability-free version of the Robust No Arbitrage…

数理金融 · 定量金融 2016-08-26 Matteo Burzoni

While decentralized prediction markets like Polymarket have gained significant traction, their market microstructure and high-frequency pricing efficiency remain underexplored. This paper conducts a systematic empirical analysis of…

交易与市场微观结构 · 定量金融 2026-05-05 Guang Cheng , Jiaxin Yang , Haoxuan Zou

We construct a binary market model with memory that approximates a continuous-time market model driven by a Gaussian process equivalent to Brownian motion. We give a sufficient conditions for the binary market to be arbitrage-free. In a…

概率论 · 数学 2007-05-23 Akihiko Inoue , Yumiharu Nakano , Vo Anh

Iterative combinatorial auctions are widely used in high stakes settings such as spectrum auctions. Such auctions can be hard to analyze, making it difficult for bidders to determine how to behave and for designers to optimize auction rules…

计算机科学与博弈论 · 计算机科学 2024-07-25 Greg d'Eon , Neil Newman , Kevin Leyton-Brown

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

最优化与控制 · 数学 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

Prediction markets elicit and aggregate beliefs by paying agents based on how close their predictions are to a verifiable future outcome. However, outcomes of many important questions are difficult to verify or unverifiable, in that the…

计算机科学与博弈论 · 计算机科学 2025-02-19 Siddarth Srinivasan , Ezra Karger , Yiling Chen

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

数理金融 · 定量金融 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

We develop a simple yet efficient Lagrangian method for computing equilibrium prices in a mean-field game price-formation model. We prove that equilibrium prices are optimal in terms of a suitable criterion and derive a primal-dual…

最优化与控制 · 数学 2025-09-18 Xu Wang , Samy Wu Fung , Levon Nurbekyan

A market with asymmetric information can be viewed as a repeated exchange game between the informed sector and the uninformed one. In a market with risk-neutral agents, De Meyer [2010] proves that the price process should be a particular…

最优化与控制 · 数学 2017-01-13 Bernard De Meyer , Gaëtan Fournier

Maximum likelihood estimators are often of limited practical use due to the intensive computation they require. We propose a family of alternative estimators that maximize a stochastic variation of the composite likelihood function. Each of…

机器学习 · 计算机科学 2010-03-04 Joshua V Dillon , Guy Lebanon

Augmenting the input of algorithms with predictions is an algorithm design paradigm that suggests leveraging a (possibly erroneous) prediction to improve worst-case performance guarantees when the prediction is perfect (consistency), while…

Prediction markets are well-studied in the case where predictions are probabilities or expectations of future random variables. In 2008, Lambert, et al. proposed a generalization, which we call "scoring rule markets" (SRMs), in which…

计算机科学与博弈论 · 计算机科学 2017-09-29 Rafael Frongillo , Bo Waggoner

We develop an arbitrage-free random field LIBOR market model to price cross-currency derivatives. The uncertainty of the forward LIBOR rates of our cross-currency model is driven by a two time parameter random field instead of a finite…

证券定价 · 定量金融 2021-04-02 Rajinda Wickrama

We use valid inequalities (cuts) of the binary integer program for winner determination in a combinatorial auction (CA) as "artificial items" that can be interpreted intuitively and priced to generate Artificial Walrasian Equilibria. We…

理论经济学 · 经济学 2026-03-20 Robert Day , Benjamin Lubin

This paper initiates a study into the century-old issue of market predictability from the perspective of computational complexity. We develop a simple agent-based model for a stock market where the agents are traders equipped with simple…

计算工程、金融与科学 · 计算机科学 2007-05-23 James Aspnes , David F. Fischer , Michael J. Fischer , Ming-Yang Kao , Alok Kumar