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The global dynamics is investigated for a duopoly game where the perfect foresight hypothesis is relaxed and firms are worst-case maximizers. Overlooking the degree of product substitutability as well as the sensitivity of price to…

Theoretical Economics · Economics 2023-11-21 Davide Radi , Laura Gardini

Despite a substantial body of theoretical and empirical research in the fields of conjoint and discrete choice analysis as well as product line optimization, relatively few papers focused on the simulation of subsequent competitive dynamics…

Econometrics · Economics 2025-12-30 Jan H. R. Dressler , Peter Kurz , Winfried J. Steiner

We consider a private hypothesis testing scenario, including both symmetric and asymmetric testing, based on classical data samples. The utility is measured by the error exponents, namely the Chernoff information and the relative entropy,…

Quantum Physics · Physics 2025-09-01 Seung-Hyun Nam , Hyun-Young Park , Si-Hyeon Lee , Joonwoo Bae

We study a large economy in which firms cannot compute exact solutions to the non-linear equations that characterize the equilibrium price at which they can sell future output. Instead, firms use polynomial expansions to approximate prices.…

Economics · Quantitative Finance 2016-11-08 Wolfgang Kuhle

This paper introduces an information-based model for the pricing of storable commodities such as crude oil and natural gas. The model uses the concept of market information about future supply and demand as a basis for valuation. Physical…

Pricing of Securities · Quantitative Finance 2021-12-01 Dorje C. Brody , Lane P. Hughston , Xun Yang

We consider the problem of designing a survey to aggregate non-verifiable information from a privacy-sensitive population: an analyst wants to compute some aggregate statistic from the private bits held by each member of a population, but…

Computer Science and Game Theory · Computer Science 2014-04-25 Arpita Ghosh , Katrina Ligett , Aaron Roth , Grant Schoenebeck

Online offerings such as web search, news portals, and e-commerce applications face the challenge of providing high-quality service to a large, heterogeneous user base. Recent efforts have highlighted the potential to improve performance by…

Artificial Intelligence · Computer Science 2014-01-17 Andreas Krause , Eric Horvitz

We introduce a novel framework for individual-level welfare analysis. It builds on a parametric model for continuous demand with a quasilinear utility function, allowing for heterogeneous coefficients and unobserved individual-good-level…

Econometrics · Economics 2024-11-25 Junlong Feng , Sokbae Lee

The paper analyzes the probability distribution of the occupancy numbers and the entropy of a system at the equilibrium composed by an arbitrary number of non-interacting bosons. The probability distribution is derived both by tracing out…

Quantum Physics · Physics 2024-01-01 Arnaldo Spalvieri

We investigate the impact of coalition formation on the efficiency of Cournot games where producers face uncertainties. In particular, we study a market model where firms must determine their output before an uncertain production capacity…

Computer Science and Game Theory · Computer Science 2017-08-15 Baosen Zhang , Ramesh Johari , Ram Rajagopal

This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

Mathematical Finance · Quantitative Finance 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

Ensuring the usefulness of electronic data sources while providing necessary privacy guarantees is an important unsolved problem. This problem drives the need for an analytical framework that can quantify the safety of personally…

Information Theory · Computer Science 2016-11-18 Lalitha Sankar , S. Raj Rajagopalan , H. Vincent Poor

In this work, we propose differentially private methods for hypothesis testing, model averaging, and model selection for normal linear models. We consider Bayesian methods based on mixtures of $g$-priors and non-Bayesian methods based on…

Methodology · Statistics 2023-08-30 Víctor Peña , Andrés F. Barrientos

We investigate a spectrum oligopoly market where primaries lease their channels to secondaries in lieu of financial remuneration. Transmission quality of a channel evolves randomly. Each primary has to select the price it would quote…

Computer Science and Game Theory · Computer Science 2015-05-22 Arnob Ghosh , Saswati Sarkar

Social-media platforms are one of the most prevalent communication media today. In such systems, a large amount of content is generated and available to the platform. However, not all content can be transmitted to every possible user at all…

Computer Science and Game Theory · Computer Science 2024-10-02 Marcos M. Vasconcelos , Odilon Câmara

How to query a dataset in the way of preserving the privacy of individuals whose data is included in the dataset is an important problem. The information privacy model, a variant of Shannon's information theoretic model to the encryption…

Cryptography and Security · Computer Science 2021-01-06 Genqiang Wu

This article introduces a model-agnostic approach to study statistical synergy, a form of emergence in which patterns at large scales are not traceable from lower scales. Our framework leverages various multivariate extensions of Shannon's…

Information Theory · Computer Science 2019-09-18 Fernando Rosas , Pedro A. M. Mediano , Michael Gastpar , Henrik J. Jensen

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities that…

Cryptography and Security · Computer Science 2014-06-18 Mário S. Alvim , Miguel E. Andrés , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

We develop a market model in which products generate state-dependent potential hidden charges. Firms differ in their ability to realize this potential. Unlike firms, consumers do not observe the state. They try to infer hidden charges from…

Theoretical Economics · Economics 2024-09-24 Yair Antler ad Ran Spiegler

With the growing collection of sales and marketing data and depth of detailed knowledge of consumer habits and trends, firms are gaining the capability to discern customers of other firms from the potential market of uncommitted consumers.…

Optimization and Control · Mathematics 2015-10-28 Chloe A. Fletcher , Jason S. Howell