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The inherent trade-off in on-line learning is between exploration and exploitation. A good balance between these two (conflicting) goals can achieve a better long-term performance. Can we define an optimal balance? We propose to study this…

Information Theory · Computer Science 2024-11-06 Ram Zamir , Kenneth Rose

We consider the model of spatially distributed population consisting of two species with "\textsl{predator\,--\,prey}" interaction; each of the species occupies two stations. Transfer of individuals between the stations (migration) is not…

Populations and Evolution · Quantitative Biology 2014-05-13 Michael G. Sadovsky , Maria Yu. Senashova

A biological competition model where the individuals of the same species perform a two-dimensional Markovian continuous-time random walk and undergo reproduction and death is studied. The competition is introduced through the assumption…

Biological Physics · Physics 2011-08-31 E. Heinsalu , E. Hernandez-Garcia , C. Lopez

McCall (1970) examines the search behaviour of an infinitely-lived and risk-neutral job seeker maximizing her lifetime earnings by accepting or rejecting real-valued scalar wage offers. In practice, job offers have multiple attributes, and…

Theoretical Economics · Economics 2020-06-26 Veli Safak

The universal prevalence of cooperation is puzzling, as defection typically yields higher payoffs than cooperation, motivating searches for hidden pathways to cooperation. Here we study a game-theoretic model on a lattice structured…

Physics and Society · Physics 2026-03-12 Hyun Gyu Lee , Hyeong-Chai Jeong , Deok-Sun Lee

Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of non revisitable targets, we propose an alternative model of bidimensional search processes, which explicitly…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , C. Loverdo , M. Moreau , R. Voituriez

Theory purports that animal foraging choices evolve to maximize returns, such as net energy intake. Empirical research in both human and nonhuman animals reveals that individuals often attend to the foraging choices of their competitors…

Populations and Evolution · Quantitative Biology 2013-01-31 Serguei Saavedra , R. Dean Malmgren , Nicholas Switanek , Brian Uzzi

Animals foraging alone are hypothesized to optimize the encounter rates with resources through L\'evy walks. However, the issue of how the interactions between multiple foragers influence their search efficiency is still not completely…

Biological Physics · Physics 2013-11-12 Kunal Bhattacharya , Tamás Vicsek

Lurking is a complex user-behavioral phenomenon that occurs in all large-scale online communities and social networks. It generally refers to the behavior characterizing users that benefit from the information produced by others in the…

Social and Information Networks · Computer Science 2016-05-23 Marco Alberto Javarone , Roberto Interdonato , Andrea Tagarelli

We consider a discrete-time dynamic search game in which a number of players compete to find an invisible object that is moving according to a time-varying Markov chain. We examine the subgame perfect equilibria of these games. The main…

Optimization and Control · Mathematics 2020-08-26 Benoit Duvocelle , János Flesch , Hui Min Shi , Dries Vermeulen

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

Physics and Society · Physics 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

Sequential decision tasks with incomplete information are characterized by the exploration problem; namely the trade-off between further exploration for learning more about the environment and immediate exploitation of the accrued…

Artificial Intelligence · Computer Science 2013-02-21 Grigoris I. Karakoulas

According to Thomas Hobbes' Leviathan [1651; 2008 (Touchstone, New York), English Ed], "the life of man [is] solitary, poor, nasty, brutish, and short," and it would need powerful social institutions to establish social order. In reality,…

Physics and Society · Physics 2009-12-05 Dirk Helbing , Wenjian Yu

Some scientists are more likely to explore unfamiliar research topics while others tend to exploit existing ones. In previous work, correlations have been found between scientists' topic choices and their career performances. However,…

Digital Libraries · Computer Science 2023-07-03 Xingsheng Yang , Zhaoru Ke , Qing Ke , Haipeng Zhang , Fengnan Gao

While microscopic organisms can use gradient-based search to locate resources, this strategy can be poorly suited to the sensory signals available to macroscopic organisms. We propose a framework that models search-decision making in cases…

Populations and Evolution · Quantitative Biology 2015-06-04 Andrew M. Hein , Scott A. McKinley

There is substantial interest in the effect of human mobility patterns on opportunistic communications. Inspired by recent work revisiting some of the early evidence for a L\'evy flight foraging strategy in animals, we analyse datasets on…

Data Analysis, Statistics and Probability · Physics 2010-10-01 Mervyn P. Freeman , Nicholas W. Watkins , Eiko Yoneki , Jon Crowcroft

We have studied an evolutionary game with spatially arranged players who can choose one of the two strategies (named cooperation and defection for social dilemmas) when playing with their neighbors. In addition to the application of the…

Physics and Society · Physics 2013-01-03 Gyorgy Szabo , Attila Szolnoki , Lilla Czako

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Yiheng Fu , Pouria Ramazi

A well-balanced exploration-exploitation trade-off is crucial for successful acquisition functions in Bayesian optimization. However, there is a lack of quantitative measures for exploration, making it difficult to analyze and compare…

Machine Learning · Computer Science 2026-05-15 Leonard Papenmeier , Nuojin Cheng , Stephen Becker , Luigi Nardi

We introduce a formalism based on a continuous time approximation, to study the characteristics of Page Rank random walks. We find that the diffusion of the occupancy probability has a dynamics that exponentially "forgets" the initial…

Statistical Mechanics · Physics 2020-07-17 Emilio Aced Fuentes , Simone Santini