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We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

Portfolio Management · Quantitative Finance 2021-11-04 Jörn Sass , Dorothee Westphal

Market efficiency at least requires the absence of weak arbitrage opportunities, but this is not sufficient to establish a situation where the market is sensitive, i.e., where it "fully reflects" or "rapidly adjusts to" some information…

General Finance · Quantitative Finance 2026-02-25 Gabriel Frahm

We relate the strategy sets that a player ends up with after refining his own strategies according to two very different models of rationality: namely, utility maximization and regret minimization.

Computer Science and Game Theory · Computer Science 2014-03-26 Alessandro Chiesa , Silvio Micali , Zeyuan Allen Zhu

Ramsey (1926) sketches a proposal for measuring the subjective probabilities of an agent by their observable preferences, assuming that the agent is an expected utility maximizer. I show how to extend the spirit of Ramsey's method to a…

Computer Science and Game Theory · Computer Science 2019-07-23 Sven Neth

We study the problem of option pricing and hedging strategies within the frame-work of risk-return arguments. An economic agent is described by a utility function that depends on profit (an expected value) and risk (a variance). In the…

Statistical Mechanics · Physics 2008-12-02 Erik Aurell , Karol Życzkowski

This exercise proposes a learning mechanism to model economic agent's decision-making process using an actor-critic structure in the literature of artificial intelligence. It is motivated by the psychology literature of learning through…

Theoretical Economics · Economics 2022-02-21 Rui , Shi

In this correspondence, a novel framework is proposed for analyzing data offloading in a multi-access edge computing system. Specifically, a two-phase algorithm, is proposed, including two key phases: 1) user association phase and 2) task…

Information Theory · Computer Science 2023-04-24 Do Hyeon Kim , Aunas Manzoor , Madyan Alsenwi , Yan Kyaw Tun , Walid Saad , Choong Seon Hong

We consider a hidden-action principal-agent model, in which actions require different amounts of effort, and the agent privately knows his ability that determines his cost of effort. We show that linear contracts admit approximation…

Computer Science and Game Theory · Computer Science 2025-03-05 Tal Alon , Paul Dütting , Yingkai Li , Inbal Talgam-Cohen

This paper studies an optimal consumption problem for a loss-averse agent with reference to past consumption maximum. To account for loss aversion on relative consumption, an S-shaped utility is adopted that measures the difference between…

Optimization and Control · Mathematics 2024-03-11 Xun Li , Xiang Yu , Qinyi Zhang

Automated recommendations can nowadays be found on many e-commerce platforms, and such recommendations can create substantial value for consumers and providers. Often, however, not all recommendable items have the same profit margin, and…

Social and Information Networks · Computer Science 2022-09-12 Nada Ghanem , Stephan Leitner , Dietmar Jannach

We study information elicitation in cost-function-based combinatorial prediction markets when the market maker's utility for information decreases over time. In the sudden revelation setting, it is known that some piece of information will…

Computer Science and Game Theory · Computer Science 2014-07-31 Miroslav Dudík , Rafael Frongillo , Jennifer Wortman Vaughan

Human dynamics is known to be inhomogeneous and bursty but the detailed understanding of the role of human factors in bursty dynamics is still lacking. In order to investigate their role we devise an agent-based model, where an agent in an…

Physics and Society · Physics 2012-01-06 Hang-Hyun Jo , Eunyoung Moon , Kimmo Kaski

We consider the problem of rate and power allocation in a fading multiple-access channel. Our objective is to obtain rate and power allocation policies that maximize a utility function defined over average transmission rates. In contrast…

Information Theory · Computer Science 2008-10-08 Ali ParandehGheibi , Atilla Eryilmaz , Asuman Ozdaglar , Muriel Medard

The aim of this paper is to compare two asset allocation methods for a pension scheme during the decumulation phase in the simplified portfolio selection between a risky asset following a geometric Brownian motion and a riskless asset. The…

Portfolio Management · Quantitative Finance 2010-01-13 Frédéric Planchet , Pierre-Emanuel Thérond

This paper proposes two mixed models to study a consumer's optimal saving in the presence of two types of risk.

General Finance · Quantitative Finance 2017-06-26 Irina Georgescu , Adolfo Cristóbal Campoamor , Ana Maria Lucia Casademunt

We propose a minimal model of the secured interbank network able to shed light on recent money markets puzzles. We find that excess liquidity emerges due to the interactions between the reserves and liquidity ratio constraints; the…

General Economics · Economics 2024-10-25 Victor Le Coz , Michael Benzaquen , Damien Challet

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use…

Risk Management · Quantitative Finance 2015-06-19 B. Podobnik , D. Horvatic , M. Bertella , L. Feng , X. Huang , B. Li

We show that in a financial market given by semimartingales an arbitrage opportunity, provided it exists, can only be exploited through short selling. This finding provides a theoretical basis for differences in regulation for financial…

Mathematical Finance · Quantitative Finance 2025-11-21 Eckhard Platen , Stefan Tappe

In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic…

Portfolio Management · Quantitative Finance 2014-10-21 Oleksii Mostovyi

The impact of rising consumption on wealth inequality remains an open question. Here we revisit and extend the Social Architecture of Capitalism agent-based model proposed by Ian Wright, which reproduces stylized facts of wealth and income…

Physics and Society · Physics 2026-05-22 Jhordan Silveira de Borba , Celia Anteneodo , Sebastian Gonçalves