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We study the fundamental communication limits of information-theoretic secure aggregation in a hierarchical network consisting of a server, multiple relays, and multiple users per relay. Communication proceeds over two rounds and two hops,…

Information Theory · Computer Science 2026-03-23 Zhou Li , Yizhou Zhao , Xiang Zhang , Giuseppe Caire

The increasing richness in volume, and especially types of data in the financial domain provides unprecedented opportunities to understand the stock market more comprehensively and makes the price prediction more accurate than before.…

Computational Finance · Quantitative Finance 2018-05-16 Huiwen Wang , Shan Lu , Jichang Zhao

An agent acquires a costly flexible signal before making a decision. We explore to what degree knowledge of the agent's information costs helps predict her behavior. We establish an impossibility result: learning costs alone generate no…

Theoretical Economics · Economics 2023-04-05 Elliot Lipnowski , Doron Ravid

We examine receiver-optimal mechanisms for aggregating information divided across many biased senders. Each sender privately observes an unconditionally independent signal about an unknown state, so no sender can verify another's report. A…

Theoretical Economics · Economics 2025-08-05 James Best , Daniel Quigley , Maryam Saeedi , Ali Shourideh

Data is the central commodity of the digital economy. Unlike physical goods, it is non-rival, replicable at near-zero cost, and traded under heterogeneous licensing rules. These properties defy standard supply--demand theory and call for…

Physics and Society · Physics 2025-10-13 Pasquale Casaburi , Giovanni Piccioli , Pierpaolo Vivo

We consider a continuous-time financial market that consists of securities available for dynamic trading, and securities only available for static trading. We work in a robust framework where a set of non-dominated models is given. The…

Probability · Mathematics 2016-09-22 Beatrice Acciaio , Martin Larsson

Two information structures are said to be close if, with high probability, there is approximate common knowledge that interim beliefs are close under the two information structures. We define an "almost common knowledge topology" reflecting…

Theoretical Economics · Economics 2024-11-15 Dirk Bergemann , Stephen Morris , Rafael Veiel

In many scenarios, networks emerge endogenously as cognitive agents establish links in order to exchange information. Network formation has been widely studied in economics, but only on the basis of simplistic models that assume that the…

Social and Information Networks · Computer Science 2015-08-13 Ahmed M. Alaa , Kartik Ahuja , Mihaela Van der Schaar

We present an information-theoretic cost function for co-clustering, i.e., for simultaneous clustering of two sets based on similarities between their elements. By constructing a simple random walk on the corresponding bipartite graph, our…

Machine Learning · Computer Science 2018-06-18 Clemens Bloechl , Rana Ali Amjad , Bernhard C. Geiger

Will people eventually learn the value of an asset through observable information? This paper studies observational learning in a market with competitive prices. Comparing a market with public signals and a market with private signals in a…

Theoretical Economics · Economics 2022-05-27 Zikai Xu

In an illiquid stock, traders can collude and place orders on a predetermined price and quantity at a fixed schedule. This is usually done to manipulate the price of the stock or to create artificial liquidity in the stock, which may…

Trading and Market Microstructure · Quantitative Finance 2016-10-18 Suneel Sarswat , Kandathil Mathew Abraham , Subir Kumar Ghosh

Federated Learning enables mobile devices to collaboratively learn a shared inference model while keeping all the training data on a user's device, decoupling the ability to do machine learning from the need to store the data in the cloud.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Keith Bonawitz , Fariborz Salehi , Jakub Konečný , Brendan McMahan , Marco Gruteser

We consider a model of a data broker selling information to a single agent to maximize his revenue. The agent has a private valuation of the additional information, and upon receiving the signal from the data broker, the agent can conduct…

Theoretical Economics · Economics 2023-08-08 Yingkai Li

Stablecoins have historically depegged due from par to large sales, possibly of speculative nature, or poor reserve asset quality. Using a global game which addresses both concerns, we show that the selling pressure on stablecoin holders…

Trading and Market Microstructure · Quantitative Finance 2026-03-09 Brian Zhu

A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

Statistical Finance · Quantitative Finance 2018-08-01 Linda Ponta , Anna Carbone

Consider a network design application where we wish to lay down a minimum-cost spanning tree in a given graph; however, we only have stochastic information about the edge costs. To learn the precise cost of any edge, we have to conduct a…

Data Structures and Algorithms · Computer Science 2017-11-02 Sahil Singla

Motivated by the increasing demand for data security in decentralized federated learning (FL) and stochastic optimization, we formulate and investigate the problem of information-theoretic \emph{decentralized secure aggregation} (DSA).…

Information Theory · Computer Science 2026-03-24 Xiang Zhang , Zhou Li , Shuangyang Li , Kai Wan , Derrick Wing Kwan Ng , Giuseppe Caire

No-arbitrage asset pricing characterizes valuation through the existence of equivalent martingale measures relative to a filtration and a class of admissible trading strategies. In practice, pricing is performed across multiple asset…

Mathematical Finance · Quantitative Finance 2026-01-21 Alejandro Rodriguez Dominguez

We introduce a heterogeneous connection model for network formation to capture the effect of cost heterogeneity on the structure of efficient networks. In the proposed model, connection costs are assumed to be separable, which means the…

Economics · Quantitative Finance 2015-12-14 Babak Heydari , Mohsen Mosleh , Kia Dalili

Information-theoretic topological secure aggregation (TSA)\cite{zhang2026information_regular} enables distributed users to compute neighborhood sums over arbitrary networks without revealing individual inputs, while remaining…

Information Theory · Computer Science 2026-05-06 Xiang Zhang , Han Yu , Zhou Li , Yizhou Zhao , Giuseppe Caire
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