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The present paper shows that it can be advantageous for traders to publish their information on the true value of an asset even if they (i) cannot build a position in the asset prior to the publication of their information and (ii) cannot…

General Economics · Economics 2024-11-05 Wolfgang Kuhle

A sender flexibly acquires evidence--which she may pay a third party to certify--to disclose to a receiver. When evidence acquisition is overt, the receiver observes the evidence gathering process irrespective of whether its outcome is…

Theoretical Economics · Economics 2022-08-10 Mark Whitmeyer , Kun Zhang

This paper presents an overview of information-based asset pricing. In this approach, an asset is defined by its cash-flow structure. The market is assumed to have access to "partial" information about future cash flows. Each cash flow is…

Pricing of Securities · Quantitative Finance 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

We consider the problem of purchasing data for machine learning or statistical estimation. The data analyst has a budget to purchase datasets from multiple data providers. She does not have any test data that can be used to evaluate the…

Computer Science and Game Theory · Computer Science 2020-10-30 Yiling Chen , Yiheng Shen , Shuran Zheng

In this paper, we consider active information acquisition when the prediction model is meant to be applied on a targeted subset of the population. The goal is to label a pre-specified fraction of customers in the target or test set by…

Artificial Intelligence · Computer Science 2014-03-17 Sneha Chaudhari , Pankaj Dayama , Vinayaka Pandit , Indrajit Bhattacharya

In this paper, we investigate cost-aware joint learning and optimization for multi-channel opportunistic spectrum access in a cognitive radio system. We investigate a discrete time model where the time axis is partitioned into frames. Each…

Networking and Internet Architecture · Computer Science 2018-04-12 Chao Gan , Ruida Zhou , Jing Yang , Cong Shen

We consider stopping problems in which a decision maker (DM) faces an unknown state of nature and decides sequentially whether to stop and take an irreversible action; pay a fee and obtain additional information; or wait without acquiring…

Theoretical Economics · Economics 2022-05-16 Ehud Lehrer , Tao Wang

This paper introduces a comprehensive framework for Financial Information Theory by applying information-theoretic concepts such as entropy, Kullback-Leibler divergence, mutual information, normalized mutual information, and transfer…

Portfolio Management · Quantitative Finance 2025-11-21 Miquel Noguer i Alonso

Learning systems acquire structured internal representations from data, yet classical information-theoretic results state that deterministic transformations do not increase information. This raises a fundamental question: how can learning…

Machine Learning · Computer Science 2026-01-29 Daisuke Okanohara

Prediction markets are often described as mechanisms that ``aggregate information'' into prices, yet the mapping from dispersed private information to observed market histories is typically noisy, endogenous, and shaped by heterogeneous and…

Mathematical Finance · Quantitative Finance 2026-01-28 Juan Pablo Madrigal-Cianci , Camilo Monsalve Maya , Lachlan Breakey

This paper studies a durable goods monopoly with multiple provision levels, free disposability, and zero marginal cost. We establish a Folk-Theorem-type result: as parties become sufficiently patient, equilibrium seller payoffs contains an…

Theoretical Economics · Economics 2026-03-03 Zihao Li

The budgeted information gathering problem - where a robot with a fixed fuel budget is required to maximize the amount of information gathered from the world - appears in practice across a wide range of applications in autonomous…

Robotics · Computer Science 2016-11-15 Sanjiban Choudhury , Ashish Kapoor , Gireeja Ranade , Debadeepta Dey

We consider a monopoly information holder selling information to a budget-constrained decision maker, who may benefit from the seller's information. The decision maker has a utility function that depends on his action and an uncertain state…

Computer Science and Game Theory · Computer Science 2020-02-18 Yiling Chen , Haifeng Xu , Shuran Zheng

We study a class of two-player repeated games with incomplete information and informational externalities. In these games, two states are chosen at the outset, and players get private information on the pair, before engaging in repeated…

Probability · Mathematics 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

We consider a model where an agent has a repeated decision to make and wishes to maximize their total payoff. Payoffs are influenced by an action taken by the agent, but also an unknown state of the world that evolves over time. Before…

Computer Science and Game Theory · Computer Science 2021-01-20 Nicole Immorlica , Ian Kash , Brendan Lucier

This paper consists of two parts. In the first part, we develop a new information theory, in which it is not a coincidence that information and physical entropy share the same mathematical formula. It is an adaptation of mind to help search…

Information Theory · Computer Science 2007-07-13 Jing Chen

This work presents an asset pricing model that under rational expectation equilibrium perspective shows how, depending on risk aversion and noise volatility, a risky-asset has one equilibrium price that differs in term of efficiency: an…

General Finance · Quantitative Finance 2014-09-18 Matteo Formenti

We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small…

Portfolio Management · Quantitative Finance 2014-09-12 Bruno Bouchard , Ludovic Moreau , Mete H. Soner

Lateral predictive coding is a recurrent neural network which creates energy-efficient internal representations by exploiting statistical regularity in sensory inputs. Here we investigate the trade-off between information robustness and…

Neurons and Cognition · Quantitative Biology 2024-06-17 Zhen-Ye Huang , Ruyi Zhou , Miao Huang , Hai-Jun Zhou

Frequently, acquiring training data has an associated cost. We consider the situation where the learner may purchase data during training, subject TO a budget. IN particular, we examine the CASE WHERE each feature label has an associated…

Machine Learning · Computer Science 2012-12-12 Daniel J. Lizotte , Omid Madani , Russell Greiner
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