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To make decisions organisms often accumulate information across multiple timescales. However, most experimental and modeling studies of decision-making focus on sequences of independent trials. On the other hand, natural environments are…

Neurons and Cognition · Quantitative Biology 2018-06-12 Khanh P Nguyen , Kresimir Josic , Zachary P Kilpatrick

In a constantly changing world, animals must account for environmental volatility when making decisions. To appropriately discount older, irrelevant information, they need to learn the rate at which the environment changes. We develop an…

Neurons and Cognition · Quantitative Biology 2017-01-12 Adrian E Radillo , Alan Veliz-Cuba , Kresimir Josic , Zachary P Kilpatrick

How choices are made within noisy environments is a central question in the neuroscience of decision making. Previous work has characterized temporal accumulation of evidence for decision-making in static environments. However, real-world…

Neurons and Cognition · Quantitative Biology 2017-10-18 Alex Piet , Ahmed El Hady , Carlos D Brody

Decision-making in dynamic environments typically requires adaptive evidence accumulation that weights new evidence more heavily than old observations. Recent experimental studies of dynamic decision tasks require subjects to make decisions…

Neurons and Cognition · Quantitative Biology 2019-03-26 Nicholas W. Barendregt , Krešimir Josić , Zachary P. Kilpatrick

Nature is in constant flux, so animals must account for changes in their environment when making decisions. How animals learn the timescale of such changes and adapt their decision strategies accordingly is not well understood. Recent…

Neurons and Cognition · Quantitative Biology 2018-12-24 Zachary P. Kilpatrick , William R. Holmes , Tahra L. Eissa , Krešimir Josić

To make decisions we are guided by the evidence we collect, as well as the opinions of friends and neighbors. How do we integrate our private beliefs with information we obtain from our social network? To understand the strategies humans…

Physics and Society · Physics 2020-03-04 Bhargav Karamched , Simon Stolarczyk , Zachary Kilpatrick , Krešimir Josić

To make informed decisions in natural environments that change over time, humans must update their beliefs as new observations are gathered. Studies exploring human inference as a dynamical process that unfolds in time have focused on…

Neurons and Cognition · Quantitative Biology 2022-03-03 Arthur Prat-Carrabin , Robert C. Wilson , Jonathan D. Cohen , Rava Azeredo da Silveira

How do decisions change with the economic environment and with time? This paper studies general nonstationary stopping problems and provides the methodological tools to answer these questions. First, we identify conditions that ensure a…

Theoretical Economics · Economics 2024-08-01 Théo Durandard , Matteo Camboni

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

Physics and Society · Physics 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

A canonical foraging task is the patch-leaving problem, in which a forager must decide to leave a current resource in search for another. Theoretical work has derived optimal strategies for when to leave a patch, and experiments have tested…

Neurons and Cognition · Quantitative Biology 2019-12-03 Jacob D. Davidson , Ahmed El Hady

This work proposes to model the space environment as a stochastic dynamic network where each node is a group of objects of a given class, or species, and their relationship is represented by stochastic links. A set of stochastic dynamic…

Dynamical Systems · Mathematics 2025-05-23 Yirui Wang , Pietro De Marchi , Massimiliano Vasile

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

A new stochastic control problem of population dynamics under partial observation is formulated and analyzed both mathematically and numerically, with an emphasis on environmental and ecological problems. The decision-maker can only…

Optimization and Control · Mathematics 2020-04-13 Hidekazu Yoshioka , Yuta Yaegashi , Motoh Tsujimura

Bias in perceptual decisions comes to pass when the advance knowledge colludes with the current sensory evidence in support of the final choice. The literature on decision making suggests two main hypotheses to account for this kind of…

Neurons and Cognition · Quantitative Biology 2017-10-17 Farzaneh Olianezhad , Maryam Tohidi-Moghaddam , Sajjad Zabbah , Reza Ebrahimpour

Economists often estimate economic models on data and use the point estimates as a stand-in for the truth when studying the model's implications for optimal decision-making. This practice ignores model ambiguity, exposes the decision…

Econometrics · Economics 2021-10-07 Maximilian Blesch , Philipp Eisenhauer

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time,…

Statistical Mechanics · Physics 2009-10-31 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

We examine the switching dynamics of a stochastic population subjected to a deterministically time-varying environment. Our approach is demonstrated in the realm of ecology on a problem of population establishment. Here, by assuming a…

Statistical Mechanics · Physics 2020-02-19 Tom Israeli , Michael Assaf

Distribution shifts have long been regarded as troublesome external forces that a decision-maker should either counteract or conform to. An intriguing feedback phenomenon termed decision dependence arises when the deployed decision affects…

Optimization and Control · Mathematics 2025-03-11 Zhiyu He , Saverio Bolognani , Florian Dörfler , Michael Muehlebach
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