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We find a simple, partially altruistic mechanism that can increase global gain for a community of selfish agents. The mechanism is implied in the phenomena found in the minority game. We apply the mechanism to a two-road traffic system to…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Sy-Sang Liaw

Random shifting typically appears in credibility models whereas random scaling is often encountered in stochastic models for claim sizes reflecting the time-value property of money. In this article we discuss some aspects of random shifting…

Methodology · Statistics 2014-10-08 Enkelejd Hashorva , Lanpeng Ji

As we show by using notions of equilibrium in infinite sequential games, crashes or financial escalations are rational for economic or environmental agents, who have a vision of an infinite world. This contradicts a picture of a…

Computer Science and Game Theory · Computer Science 2012-04-27 Pierre Lescanne

We identify a robust structural signature of stock markets during exogenous shock events by analyzing collective return dynamics across G5 countries. Using Random Matrix Theory, we introduce the complexity gap, defined as the difference…

Statistical Finance · Quantitative Finance 2026-04-22 Kundan Mukhia , Imran Ansari , Md. Nurujjaman

Any quasi-probability representation of a no-signaling system -- including quantum systems -- can be simulated via a purely classical scheme by allowing signed events and a cancellation procedure. This raises a fundamental question: What…

Quantum Physics · Physics 2025-08-11 Adam Brandenburger , Pierfrancesco La Mura

Grey system theory is an important mathematical tool for describing uncertain information in the real world. It has been used to solve the uncertainty problems specially caused by lack of information. As a novel theory, the theory can deal…

Other Statistics · Statistics 2021-07-15 Wanli Xie , Mingyong Pang , Wen-Ze Wu , Chong Liu , Caixia Liu

There has been an increasing demand for formal methods in the design process of safety-critical synthetic genetic circuits. Probabilistic model checking techniques have demonstrated significant potential in analyzing the intrinsic…

Emerging Technologies · Computer Science 2019-01-24 Thakur Neupane , Zhen Zhang , Curtis Madsen , Hao Zheng , Chris J. Myers

We comment on some conceptual and and technical problems related to computational mechanics, point out some errors in several papers, and straighten out some wrong priority claims. We present explicitly the correct algorithm for…

Data Analysis, Statistics and Probability · Physics 2018-04-09 Peter Grassberger

Merging is, in general, a challenging task for both human drivers and autonomous vehicles, especially in dense traffic, because the merging vehicle typically needs to interact with other vehicles to identify or create a gap and safely merge…

Systems and Control · Electrical Eng. & Systems 2021-12-15 Kaiwen Liu , Nan Li , H. Eric Tseng , Ilya Kolmanovsky , Anouck Girard

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

Over fifty years ago, Robert May applied random matrix theory to show that as ecological systems grow in size, stability decreases. What emerged from this and the critique that followed was decades of what has been called the…

Populations and Evolution · Quantitative Biology 2026-04-14 Michael Thorne

To study the interplay between global market choice and local peer pressure, we construct a minority-game-like econophysical model. In this so-called networked minority game model, every selfish player uses both the historical minority…

Statistical Mechanics · Physics 2015-06-24 H. F. Chau , F. K. Chow , K. H. Ho

Since 2008, the network analysis of financial systems is one of the most important subjects in economics. In this paper, we have used the complexity approach and Random Matrix Theory (RMT) for analyzing the global banking network. By…

Statistical Finance · Quantitative Finance 2020-07-30 Ali Namaki , Jamshid Ardalankia , Reza Raei , Leila Hedayatifar , Ali Hosseiny , Emmanuel Haven , G. Reza Jafari

This paper proposes a modification to Minority Game (MG) by adding some agents who play majority game into MG. So it is referred to as mix-game. The highlight of this model is that the two groups of agents in mix-game have different bounded…

Physics and Society · Physics 2015-06-26 Chengling Gou

We report the occurrence of quenching and annealing in a version of the Minority Game (MG) in which the winning option is to join a given fraction of the population that is a free, external parameter. We compare this to the different…

Condensed Matter · Physics 2009-10-31 E. Burgos , Horacio Ceva , R. P. J. Perazzo

The optimization of facility-based systems is considered. First, the congestion game is converted into a matrix form, so that the matrix approach is applicable. Then, a facility-based system with a system performance criterion is…

Optimization and Control · Mathematics 2017-12-08 Yaqi Hao , Sisi Pan , Yupeng Qiao , Daizhan Cheng

Given entropy's central role in multiple areas of physics and science, one important task is to develop a systematic and unifying approach to defining entropy. Games of chance become a natural candidate for characterising the uncertainty of…

Quantum Physics · Physics 2022-02-23 Sarah Brandsen , Isabelle Jianing Geng , Gilad Gour

In this paper, we introduce a reversible version of a genetically modified mode jumping Markov chain Monte Carlo algorithm (GMJMCMC) for inference on posterior model probabilities in complex model spaces, where the number of explanatory…

Methodology · Statistics 2021-10-18 Aliaksandr Hubin , Florian Frommlet , Geir Storvik

The generalization of the problem of adaptive competition, known as the minority game, to the case of $K$ possible choices for each player is addressed, and applied to a system of interacting perceptrons with input and output units of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Liat Ein-Dor , Richard Metzler , Ido Kanter , Wolfgang Kinzel

The existence of a phase transition with diverging susceptibility in batch Minority Games (MGs) is the mark of informationally efficient regimes and is linked to the specifics of the agents' learning rules. Here we study how the standard…

Physics and Society · Physics 2009-11-13 Tobias Galla , Andrea De Martino