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In the area of urban transportation networks, a growing number of day-to-day (DTD) traffic dynamic theories have been proposed to describe the network flow evolution, and an increasing amount of laboratory experiments have been conducted to…

Physics and Society · Physics 2023-03-08 Hang Qi , Ning Jia , Xiaobo Qu , Zhengbing He

Segregation is widespread in all realms of human society. Several influential studies have argued that intolerance is not a prerequisite for a segregated society, and that segregation can arise even when people generally prefer diversity.…

Social and Information Networks · Computer Science 2016-10-27 Milena Tsvetkova , Olof Nilsson , Camilla Öhman , Lovisa Sumpter , David Sumpter

\textit{Non-statistical dynamics} are those for which a set of points with positive measure (w.r.t. a reference probability measure which is in most examples the Lebesgue on a manifold) do not have a convergent sequence of empirical…

Dynamical Systems · Mathematics 2025-01-28 Amin Talebi

We adapt the method used by Jaynes to derive the equilibria of statistical physics to instead derive equilibria of bounded rational game theory. We analyze the dependence of these equilibria on the parameters of the underlying game,…

Computer Science and Game Theory · Computer Science 2010-10-28 David H. Wolpert , Michael Harre , Eckehard Olbrich , Nils Bertschinger , Juergen Jost

This paper presents a simple agent-based model of an economic system, populated by agents playing different games according to their different view about social cohesion and tax payment. After a first set of simulations, correctly…

General Finance · Quantitative Finance 2018-09-24 L. S. Di Mauro , A. Pluchino , A. E. Biondo

In order to increase their robustness against environmental fluctuations, many biological populations have developed bet-hedging mechanisms in which the population `bets' against the presence of prolonged favorable environmental conditions…

Populations and Evolution · Quantitative Biology 2017-02-01 Masaki Ogura , Masashi Wakaiki , Victor M. Preciado

Vaccination is widely recognised as one of the most effective forms of public health interventions. Individuals decisions regarding vaccination creates a complex social dilemma between individual and collective interests, where each…

Dynamical Systems · Mathematics 2024-11-28 Nataliya A. Balabanova , Manh Hong Duong

In repeated-game applications where both the collusive and non-collusive outcomes can be supported as equilibria, researchers must resolve underlying selection questions if theory will be used to understand counterfactual policies. One…

General Economics · Economics 2021-01-18 Emanuel Vespa , Taylor Weidman , Alistair J. Wilson

We review some recent developments which make use of the concept of `superstatistics', an effective description for nonequilibrium systems with a varying intensive parameter such as the inverse temperature. We describe how the asymptotic…

Statistical Mechanics · Physics 2017-08-23 Christian Beck

This paper discusses the role of opportunistic punisher who may act selfishly to free-ride cooperators or not to be exploited by defectors. To consider opportunistic punisher, we make a change to the sequence of one-shot public good game;…

Populations and Evolution · Quantitative Biology 2010-08-10 Jun-Sok Huhh

Branching and weak probabilistic bisimilarities are two well-known notions capturing behavioral equivalence between nondeterministic probabilistic systems. For probabilistic systems, divergence is of major concern. Recently several…

Logic in Computer Science · Computer Science 2024-12-31 Hao Wu , Yuxi Fu , Huan Long , Xian Xu , Wenbo Zhang

In this paper, we present a study of a mobility game with uncertainty in the decision-making of travelers and incorporate prospect theory to model travel behavior. We formulate a mobility game that models how travelers distribute their…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Ioannis Vasileios Chremos , Heeseung Bang , Aditya Dave , Viet-Anh Le , Andreas A. Malikopoulos

We study a model in which two players with opposing interests try to alter a status quo through instability-generating actions. We show that instability can be used to secure longer-term durable changes, even if it is costly to generate and…

Theoretical Economics · Economics 2023-03-14 César Barilla , Duarte Gonçalves

We consider a simple dice game, which leads to an intriguing study of multinomial walks, with surprising and seemingly paradoxical properties. The winning and losing probabilities of a general version of the game are investigated via…

Probability · Mathematics 2026-05-21 Gunther Leobacher , Alexander Steinicke

There are two reasons why uncertainty may not be adequately described by Probability Theory. The first one is due to unique or nearly-unique events, that either never realized or occurred too seldom for frequencies to be reliably measured.…

Artificial Intelligence · Computer Science 2023-03-17 Florian Ellsaesser , Guido Fioretti , Gail E. James

We propose a new dynamics for equilibrium selection of finite player discrete strategy games. The dynamics is motivated by optimal transportation, and models individual players' myopicity, greedy and uncertainty when making decisions. The…

Optimization and Control · Mathematics 2017-07-26 Shui-Nee Chow , Wuchen Li , Jun Lu , Haomin Zhou

We use martingale and stochastic analysis techniques to study a continuous-time optimal stopping problem, in which the decision maker uses a dynamic convex risk measure to evaluate future rewards. We also find a saddle point for an…

Probability · Mathematics 2009-11-23 Erhan Bayraktar , Ioannis Karatzas , Song Yao

From the standpoint of game theory, dominoes is a game that has not received much attention (specially the variety known as draw). It is usually thought that this game is already solved, given general results in game theory. However, the…

Computer Science and Game Theory · Computer Science 2013-10-28 Eduardo Espinosa-Avila , Francisco Hernandez-Quiroz

Game theory has traditionally had a relatively limited view of risk based on how a player's expected reward is impacted by the uncertainty of the actions of other players. Recently, a new game-theoretic approach provides a more holistic…

Computer Science and Game Theory · Computer Science 2025-10-07 Oliver Slumbers , Benjamin Patrick Evans , Sumitra Ganesh , Leo Ardon

We consider the common setting where one observes probability estimates for a large number of events, such as default risks for numerous bonds. Unfortunately, even with unbiased estimates, selecting events corresponding to the most extreme…

Methodology · Statistics 2021-10-14 Gareth M. James , Peter Radchenko , Bradley Rava