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We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

Analysis of PDEs · Mathematics 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

Quantifying uncertainties in collective human behavior and decision making is crucial for ensuring public health and safety, enabling effective disaster response, informing the design of transportation and communication networks, and…

Physics and Society · Physics 2016-12-02 Kimberly J. Schlesinger , Chantal Nguyen , Imtiaz Ali , Jean M. Carlson

Experimentalists have observed phenotypic variability in isogenic bacteria populations. We explore the hypothesis that in fluctuating environments this variability is tuned to maximize a bacterium's expected log growth rate, potentially…

Populations and Evolution · Quantitative Biology 2018-07-25 Sarah E. Marzen , James P. Crutchfield

To survive in dynamic and uncertain environments, individuals must develop effective decision strategies that balance information gathering and decision commitment. Models of such strategies often prioritize either optimizing tangible…

Artificial Intelligence · Computer Science 2025-03-26 Nicholas W. Barendregt , Joshua I. Gold , Krešimir Josić , Zachary P. Kilpatrick

Decision-makers abhor uncertainty, and it is certainly true that the less there is of it the better. However, recognizing that uncertainty is part of the equation, particularly for deciding on environmental policy, is a prerequisite for…

Methodology · Statistics 2022-09-28 Noel Cressie

Individual choices are either based on personal experience or on information provided by peers. The latter case, causes individuals to conform to the majority in their neighborhood. Such herding behavior may be very efficient in aggregating…

Physics and Society · Physics 2009-11-11 Philippe Curty , Matteo Marsili

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

Populations and Evolution · Quantitative Biology 2021-05-18 Feng Huang , Ming Cao , Long Wang

A perfectly rational decision-maker chooses the best action with the highest utility gain from a set of possible actions. The optimality principles that describe such decision processes do not take into account the computational costs of…

Artificial Intelligence · Computer Science 2013-12-25 Jordi Grau-Moya , Daniel A. Braun

A robot operating in isolation needs to reason over the uncertainty in its model of the world and adapt its own actions to account for this uncertainty. Similarly, a robot interacting with people needs to reason over its uncertainty over…

Robotics · Computer Science 2017-08-07 Stefanos Nikolaidis , Jodi Forlizzi , David Hsu , Julie Shah , Siddhartha Srinivasa

General criterion for best efficiency of the interaction of a complex system with an ever-changing environment is derived. Its exclusive property, set by boundedness, is that the highly non-trivial interplay between parameters that…

Adaptation and Self-Organizing Systems · Physics 2014-03-12 Maria K. Koleva

As artificial agents become increasingly capable, what internal structure is *necessary* for an agent to act competently under uncertainty? Classical results show that optimal control can be *implemented* using belief states or world…

Machine Learning · Computer Science 2026-04-03 Aran Nayebi

Learning and adaptation play great role in emergent socio-economic phenomena. Complex dynamics has been previously found in the systems of multiple learning agents interacting via a simple game. Meanwhile, the single agent adaptation is…

Physics and Society · Physics 2020-05-18 Arkady Zgonnikov , Ihor Lubashevsky

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

Self-adaptive systems continuously adapt to changes in their execution environment. Capturing all possible changes to define suitable behaviour beforehand is unfeasible, or even impossible in the case of unknown changes, hence human…

Artificial Intelligence · Computer Science 2021-03-15 Ivana Dusparic , Nicolas Cardozo

A cognitive radio system has the ability to observe and learn from the environment, adapt to the environmental conditions, and use the radio spectrum more efficiently. However, due to multipath fading, shadowing, or varying channel…

Information Theory · Computer Science 2017-01-20 Fatima Salahdine , Naima Kaabouch , Hassan Ghazi

Models of adaptive bet-hedging commonly adopt insights from Kelly's famous work on optimal gambling strategies and the financial value of information. In particular, such models seek evolutionary solutions that maximize long term average…

Populations and Evolution · Quantitative Biology 2020-03-18 Omri Tal , Tat Dat Tran

Heterogeneous systems of active matter exhibit a range of complex emergent dynamical patterns. In particular, it is difficult to predict the properties of the mixed system based on its constituents. These considerations are particularly…

Soft Condensed Matter · Physics 2021-04-07 Shlomit Peled , Shawn D. Ryan , Sebastian Heidenreich , Markus Bar , Gil Ariel , Avraham Be'er

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their…

Theoretical Economics · Economics 2024-12-04 Promit K. Chaudhuri , Matthew O. Jackson , Sudipta Sarangi , Hector Tzavellas

Unambiguous identification of the rewards driving behaviours of entities operating in complex open-ended real-world environments is difficult, partly because goals and associated behaviours emerge endogenously and are dynamically updated as…

Machine Learning · Computer Science 2024-05-03 Richard M. Bailey

We study strategic interactions between firms with heterogeneous beliefs about future climate impacts. To that end, we propose a Cournot-type equilibrium model where firms choose mitigation efforts and production quantities such as to…

Optimization and Control · Mathematics 2022-02-22 Marcel Nutz , Florian Stebegg