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We investigate the spatial Public Goods Game in the presence of fitness-driven and conformity-driven agents. This framework usually considers only the former type of agents, i.e., agents that tend to imitate the strategy of their fittest…

Physics and Society · Physics 2017-08-30 Marco Alberto Javarone , Alberto Antonioni , Francesco Caravelli

Predicting future trajectories of nearby objects, especially under occlusion, is a crucial task in autonomous driving and safe robot navigation. Prior works typically neglect to maintain uncertainty about occluded objects and only predict…

We study analytically and by computer simulations a complex system of adaptive agents with finite memory. Borrowing the framework of the Minority Game and using the replica formalism we show the existence of an equilibrium phase transition…

Statistical Mechanics · Physics 2009-11-07 M. Marsili , R. Mulet , F. Ricci-Tersenghi , R. Zecchina

Contingency planning, wherein an agent generates a set of possible plans conditioned on the outcome of an uncertain event, is an increasingly popular way for robots to act under uncertainty. In this work we take a game-theoretic perspective…

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

We discuss model and forecast combination in time series forecasting. A foundational Bayesian perspective based on agent opinion analysis theory defines a new framework for density forecast combination, and encompasses several existing…

Methodology · Statistics 2022-06-07 Kenichiro McAlinn , Mike West

Selective Prediction is the task of rejecting inputs a model would predict incorrectly on. This involves a trade-off between input space coverage (how many data points are accepted) and model utility (how good is the performance on accepted…

Life on earth is distinguished by long-lived correlations in time. The patterns of material organization that characterize living organisms today are contingent on events that occurred billions of years ago. This contingency is a necessary…

Soft Condensed Matter · Physics 2021-01-06 Peter M. Tzelios , Kyle J. M. Bishop

Observational learning often involves congestion: an agent gets lower payoff from an action when more predecessors have taken that action. This preference to act differently from previous agents may paradoxically increase all but one…

Theoretical Economics · Economics 2019-04-02 Sander Heinsalu

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

Populations and Evolution · Quantitative Biology 2023-10-02 Jeferson J. Arenzon , Luca Peliti

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Modern predictive analytics underpinned by machine learning techniques has become a key enabler to the automation of data-driven decision making. In the context of business process management, predictive analytics has been applied to making…

Machine Learning · Computer Science 2020-06-09 Renuka Sindhgatta , Chun Ouyang , Catarina Moreira

Ensuring the frequency stability of electric grids with increasing renewable resources is a key problem in power system operations. In recent years, a number of advanced controllers have been designed to optimize frequency control. These…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Wenqi Cui , Guanya Shi , Yuanyuan Shi , Baosen Zhang

We propose a prediction model based on the minority game in which traders continuously evaluate a complete set of trading strategies with different memory lengths using the strategies' past performance. Based on the chosen trading strategy…

Portfolio Management · Quantitative Finance 2009-01-06 Andreas Krause

Resource allocation takes place in various types of real-world complex systems such as urban traf- fic, social services institutions, economical and ecosystems. Mathematically, the dynamical process of complex resource allocation can be…

Physics and Society · Physics 2015-11-05 Ji-Qiang Zhang , Zi-Gang Huang , Zhi-Xi Wu , Riqi Su , Ying-Cheng Lai

Physical dynamical systems can be viewed as natural information processors: their systems preserve, transform, and disperse input information. This perspective motivates learning not only from data generated by such systems, but also how to…

Machine Learning · Computer Science 2026-03-05 Felix Köster , Atsushi Uchida

Every adapted absolutely continuous process has a predictable density. The set of adapted absolutely continuous processes equals the set of time integrals of progressive or predictable pathwise locally integrable processes.

Probability · Mathematics 2019-01-17 Lars Tyge Nielsen

We consider the dynamics of player's strategies in repeated market games, where the selection of strategies is determined by a learning model. Prior theoretical analysis and experimental data show that after large number of plays the…

Analysis of PDEs · Mathematics 2015-09-21 Misha Perepelitsa