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Self-organization of complex morphological patterns from local interactions is a fascinating phenomenon in many natural and artificial systems. In the artificial world, typical examples of such morphogenetic systems are cellular automata.…

Machine Learning · Computer Science 2021-09-06 Mayalen Etcheverry , Clement Moulin-Frier , Pierre-Yves Oudeyer

Providing users with alternatives to choose from is an essential component in many online platforms, making the accurate prediction of choice vital to their success. A renewed interest in learning choice models has led to significant…

Machine Learning · Computer Science 2020-01-22 Nir Rosenfeld , Kojin Oshiba , Yaron Singer

We analyze multivariate ordered discrete response models with a lattice structure, modeling decision makers who narrowly bracket choices across multiple dimensions. These models map latent continuous processes into discrete responses using…

Econometrics · Economics 2025-11-06 Tatiana Komarova , William Matcham

Most comparisons of preferences are instances of single-crossing dominance. We examine the lattice structure of single-crossing dominance, proving characterisation, existence and uniqueness results for minimum upper bounds of arbitrary sets…

Theoretical Economics · Economics 2025-12-16 Gregorio Curello , Ludvig Sinander

Preferences, fundamental in all forms of strategic behavior and collective decision-making, in their raw form, are an abstract ordering on a set of alternatives. Agents, we assume, revise their preferences as they gain more information…

Multiagent Systems · Computer Science 2024-07-12 Hans Riess , Gregory Henselman-Petrusek , Michael C. Munger , Robert Ghrist , Zachary I. Bell , Michael M. Zavlanos

We model stochastic choices with categorization. The agent preliminarly groups alternatives in homogenous disjoint classes, then randomly chooses one class and randomly picks an item within the selected class. We give a formal definition of…

Theoretical Economics · Economics 2026-01-06 Ester Sudano

In consumer theory, ranking available objects by means of preference relations yields the most common description of individual choices. However, preference-based models assume that individuals: (1) give their preferences only between pairs…

Machine Learning · Computer Science 2023-02-02 Alessio Benavoli , Dario Azzimonti , Dario Piga

The process of evolutionary emergence of purposeful adaptive behavior is investigated by means of computer simulations. The model proposed implies that there is an evolving population of simple agents, which have two natural needs: energy…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mikhail S. Burtsev , Vladimir G. Redko , Roman V. Gusarev

A broad range of on-line behaviors are mediated by interfaces in which people make choices among sets of options. A rich and growing line of work in the behavioral sciences indicate that human choices follow not only from the utility of…

Data Structures and Algorithms · Computer Science 2017-05-17 Jon Kleinberg , Sendhil Mullainathan , Johan Ugander

Based on the observation that many existing discrete choice models admit a welfare function of utilities whose gradient gives the choice probability vector, we propose a new representation of discrete choice model which we call the…

Optimization and Control · Mathematics 2015-03-09 Guiyun Feng , Xiaobo Li , Zizhuo Wang

We study individual decision-making behavioral on generic view. Using a formal mathematical model, we investigate the action mechanism of decision behavioral under subjective perception changing of task attributes. Our model is built on…

General Economics · Economics 2018-09-14 Xingguang Chen

A population of heterogenous agents compeeting through a minority rule is investigated. Agents which frequently loose are selected for evolution by changing their strategies. The stationary composition of the population resulting for this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexei Vazquez

Choice functions constitute a simple, direct and very general mathematical framework for modelling choice under uncertainty. In particular, they are able to represent the set-valued choices that appear in imprecise-probabilistic decision…

Artificial Intelligence · Computer Science 2019-05-22 Jasper De Bock , Gert de Cooman

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

Deeply-learned planning methods are often based on learning representations that are optimized for unrelated tasks. For example, they might be trained on reconstructing the environment. These representations are then combined with predictor…

Machine Learning · Computer Science 2021-03-18 Hlynur Davíð Hlynsson , Merlin Schüler , Robin Schiewer , Tobias Glasmachers , Laurenz Wiskott

Self-organization is frequently observed in active collectives, from ant rafts to molecular motor assemblies. General principles describing self-organization away from equilibrium have been challenging to identify. We offer a unifying…

In economic theory, an agent chooses from available alternatives -- modeled as a set. In decisions in the field or in the lab, however, agents do not have access to the set of alternatives at once. Instead, alternatives are represented by…

Computer Science and Game Theory · Computer Science 2021-11-09 Paulo Oliva , Philipp Zahn

We consider a model where an agent is must choose between alternatives that each provide only an imprecise description of the world (e.g. linguistic expressions). The set of alternatives is closed under logical conjunction and disjunction,…

Theoretical Economics · Economics 2024-09-11 Evan Piermont , Marcus Pivato

We present an individual-based model for two interacting populations diffusing on lattices in which a strong natural selection develops spontaneously. The models combine traditional local predator-prey dynamics with random walks.…

Populations and Evolution · Quantitative Biology 2007-05-23 Monica F. B. Moreira , Marcio P. Dantas , A. T. Costa

How to promote the innovative activities is an important problem for modern society. In this paper, combining with the evolutionary games and information spreading, we propose a lattice model to investigate dynamics of human innovative…

Physics and Society · Physics 2013-03-05 Ying-Ting Lin , Xiao-Pu Han , Bing-Hong Wang
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