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Users consume their favorite content in temporal proximity of consumption bundles according to their preferences and tastes. Thus, the underlying attributes of items implicitly match user preferences, however, current recommender systems…

Information Retrieval · Computer Science 2018-10-23 Arun Kumar , Karan Aggarwal , Paul Schrater

A method is presented for imputing a topology for any chronological set, i.e., a set with a chronology relation, such as a spacetime or a spacetime with some sort of boundary. This topology is shown to have several good properties, such as…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Steven G. Harris

A possibly immortal agent tries to maximise its summed discounted rewards over time, where discounting is used to avoid infinite utilities and encourage the agent to value current rewards more than future ones. Some commonly used discount…

Artificial Intelligence · Computer Science 2014-07-15 Tor Lattimore , Marcus Hutter

We investigate optimal consumption policies in the liquidity risk model introduced in Pham and Tankov (2007). Our main result is to derive smoothness results for the value functions of the portfolio/consumption choice problem. As an…

Probability · Mathematics 2008-07-03 Alessandra Cretarola , Fausto Gozzi , Huyên Pham , Peter Tankov

Neural networks (NNs) hold great promise for advancing inverse design via topology optimization (TO), yet misconceptions about their application persist. This article focuses on neural topology optimization (neural TO), which leverages NNs…

Machine Learning · Computer Science 2025-12-01 Suryanarayanan Manoj Sanu , Alejandro M. Aragon , Miguel A. Bessa

Morris (1996, 1997) introduced preference-based definitions of knowledge and belief in standard state-space structures. This paper extends this preference-based approach to unawareness structures (Heifetz, Meier, and Schipper, 2006, 2008).…

Computer Science and Game Theory · Computer Science 2013-02-20 Burkhard C. Schipper

This paper investigates an infinite horizon, discounted, consumption-portfolio problem in a market with one bond, one liquid risky asset, and one illiquid risky asset with proportional transaction costs. We consider an agent with liquidity…

Portfolio Management · Quantitative Finance 2025-03-05 Guohui Guan , Jiaqi Hu , Zongxia Liang

We study decision-making with rational inattention in settings where agents have perception constraints. In such settings, inaccurate prior beliefs or models of others may lead to inattention blindness, where an agent is unaware of its…

Computer Science and Game Theory · Computer Science 2025-10-06 Mustafa O. Karabag , Jesse Milzman , Ufuk Topcu

An unconventional approach for optimal stopping under model ambiguity is introduced. Besides ambiguity itself, we take into account how ambiguity-averse an agent is. This inclusion of ambiguity attitude, via an $\alpha$-maxmin nonlinear…

Mathematical Finance · Quantitative Finance 2021-07-15 Yu-Jui Huang , Xiang Yu

Consumers discover their preferences through experience, yet the sequence and composition of those experiences are often designed by firms, digital platforms, or policymakers. We introduce a ``data-design'' framework for preference…

Theoretical Economics · Economics 2026-04-17 Sebastiano Della Lena , Alessio Muscillo , Paolo Pin

It is known that the decision to purchase an annuity may be associated to an optimal stopping problem. However, little is known about optimal strategies, if the mortality force is a generic function of time and if the `subjective' life…

Mathematical Finance · Quantitative Finance 2018-07-13 Tiziano De Angelis , Gabriele Stabile

For optimal stopping problems with time-inconsistent preference, we measure the inherent level of time-inconsistency by taking the time needed to turn the naive strategies into the sophisticated ones. In particular, when in a repeated…

General Economics · Economics 2024-08-22 Sang Hu , Zihan Zhou

Under non-exponential discounting, we develop a dynamic theory for stopping problems in continuous time. Our framework covers discount functions that induce decreasing impatience. Due to the inherent time inconsistency, we look for…

Optimization and Control · Mathematics 2017-03-13 Yu-Jui Huang , Adrien Nguyen-Huu

The consumption function maps current wealth and the exogenous state to current consumption. We prove the existence and uniqueness of a consumption function when the agent has a preference for wealth. When the period utility functions are…

Theoretical Economics · Economics 2025-09-30 Qingyin Ma , Alexis Akira Toda

This paper introduces a class of objects called decision rules that map infinite sequences of alternatives to a decision space. These objects can be used to model situations where a decision maker encounters alternatives in a sequence such…

Theoretical Economics · Economics 2022-09-12 Bhavook Bhardwaj , Siddharth Chatterjee

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper…

Theoretical Economics · Economics 2023-05-01 Mogens Fosgerau , John Rehbeck

We study the impact of learning on the optimal policy and the time-to-decision in an infinite-horizon Bayesian sequential decision model with two irreversible alternatives, exit and expansion. In our model, a firm undertakes a small-scale…

Optimization and Control · Mathematics 2019-01-15 H. Dharma Kwon , Steven A. Lippman

Present treatments of eternal inflation regulate infinities by imposing a geometric cutoff. We point out that some matter systems reach the cutoff in finite time. This implies a nonzero probability for a novel type of catastrophe. According…

High Energy Physics - Theory · Physics 2011-02-28 Raphael Bousso , Ben Freivogel , Stefan Leichenauer , Vladimir Rosenhaus

In this paper we focus our efforts on studying how a preorder and topology can be made compatible. Thus we provide a characterization of those that are continuous-compatible. Such a characterization states that such topologies must be finer…

Theoretical Economics · Economics 2024-02-06 Asier Estevan , Roberto Maura , Oscar Valero

Plausible findings about futures are inherently difficult to obtain as they require critical, well-informed speculations backed with data. HCI scholars tackle this challenge via user studies wherein futuristic prototypes and other props…

Human-Computer Interaction · Computer Science 2025-02-25 Antti Salovaara , Leevi Vahvelainen