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We investigate a no-boarding policy in a system of $N$ buses serving $M$ bus stops in a loop, which is an entrainment mechanism to keep buses synchronised in a reasonably staggered configuration. Buses always allow alighting, but would…

Physics and Society · Physics 2020-04-30 Vee-Liem Saw , Lock Yue Chew

We study how $N$ intelligent buses serving a loop of $M$ bus stops learn a \emph{no-boarding strategy} and a \emph{holding strategy} by reinforcement learning. The high level no-boarding and holding strategies emerge from the low level…

Physics and Society · Physics 2019-11-11 Vee-Liem Saw , Luca Vismara , Lock Yue Chew

The influence of a fixed number of agents with the same fixed behavior on the dynamics of the minority game is studied. Alternatively, the system studied can be considered the minority game with a change in the comfort threshold away from…

Statistical Mechanics · Physics 2009-11-10 M. A. R. de Cara , F. Guinea

We study the learning dynamics of agents who adapt to heterogeneous comfort levels in the context of an El-Farol type game, and show that even an infinitesimal degree of heterogeneity in the resource levels leads to a significant reduction…

Physics and Society · Physics 2009-11-13 Luca De Sanctis , Tobias Galla

We study a model of a competing population of N adaptive agents, with similar capabilities, repeatedly deciding whether to attend a bar with an arbitrary cutoff L. Decisions are based upon past outcomes. The agents are only told whether the…

Condensed Matter · Physics 2009-10-31 N. F. Johnson , P. M. Hui , Dafang Zheng , C. W. Tai

The El Farol Bar Problem is a classic computational economics problem in which agents attempt to attend a weekly event at a bar only if it is not too crowded. Each agent has access to multiple competing strategies that may be used to…

Adaptation and Self-Organizing Systems · Physics 2023-06-14 Rebecca E. Cohen , Juan G. Restrepo

We mathematize El Farol bar problem and transform it into a workable model. In general, the average convergence to optimality at the collective level is trivial and does not even require any intelligence on the side of agents. Secondly,…

Statistical Mechanics · Physics 2015-06-24 Damien Challet , Matteo Marsili , Gabriele Ottino

We study a system in which N agents have to decide between two strategies \theta_i (i \in 1... N), for defection or cooperation, when interacting with other n agents (either spatial neighbors or randomly chosen ones). After each round, they…

Physics and Society · Physics 2012-11-07 Frank Schweitzer , Pavlin Mavrodiev , Claudio J. Tessone

We use symbolic dynamics to study discrete adaptive games, such as the minority game and the El Farol Bar problem. We show that no such game can have deterministic chaos. We put upper bounds on the statistical complexity and period of these…

Statistical Mechanics · Physics 2007-05-23 Cosma Rohilla Shalizi , David J. Albers

We explore the minimal conditions for sustainable cooperation on a spatially distributed population of memoryless, unconditional strategies (cooperators and defectors) in presence of unbiased, non contingent mobility in the context of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Mendeli H. Vainstein , Ana Tereza Costa Silva , Jeferson J. Arenzon

Empty buses are standing at a bus station. $n$ passengers arrive, and they each board a bus completely at random (meaning that they choose uniformly and independently). Then all buses depart. We show that the more buses there are, the more…

Probability · Mathematics 2025-01-13 Imre Péter Tóth

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

Physics and Society · Physics 2017-07-12 Liudmila Rozanova , Marian Boguna

We study a variation of the minority game. There are N agents. Each has to choose between one of two alternatives everyday, and there is reward to each member of the smaller group. The agents cannot communicate with each other, but try to…

Trading and Market Microstructure · Quantitative Finance 2015-05-27 Deepak Dhar , V. Sasidevan , Bikas K. Chakrabarti

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

Bus systems involve complex bus-bus and bus-passengers interactions. We study the problem of assigning buses to bus stops to minimise the average waiting time of passengers, W. An analytical theory for two specific cases of interactions is…

Physics and Society · Physics 2021-08-25 Luca Vismara , Lock Yue Chew , Vee-Liem Saw

We study a model of traffic where drivers adopt different behavioral strategies. These can be cooperative or defective according to a driver abiding or not by a traffic rule. Drivers can change their strategy by imitating the majority, with…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 Gabriel H. Paissan , Guillermo Abramson

Under non-exponential discounting, we develop a dynamic theory for stopping problems in continuous time. Our framework covers discount functions that induce decreasing impatience. Due to the inherent time inconsistency, we look for…

Optimization and Control · Mathematics 2017-03-13 Yu-Jui Huang , Adrien Nguyen-Huu

We investigate an evolutionary prisoner's dilemma game among self-driven agents, where collective motion of biological flocks is imitated through averaging directions of neighbors. Depending on the temptation to defect and the velocity at…

Physics and Society · Physics 2015-03-13 Zhuo Chen , Jian-Xi Gao , Yun-Ze Cai , Xiao-Ming Xu

Delegation allows an agent to request that another agent completes a task. In many situations the task may be delegated onwards, and this process can repeat until it is eventually, successfully or unsuccessfully, performed. We consider…

Artificial Intelligence · Computer Science 2018-04-23 Juan Afanador , Nir Oren , Murilo S. Baptista

We explore the effect of discounting and experimentation in a simple model of interacting adaptive agents. Agents belong to either of two types and each has to decide whether to participate a game or not, the game being profitable when…

Physics and Society · Physics 2009-11-13 Damien Challet , Andrea De Martino , Matteo Marsili
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