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In lowest unique bid auctions, $N$ players bid for an item. The winner is whoever places the \emph{lowest} bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium…

计算机科学与博弈论 · 计算机科学 2015-05-28 Simone Pigolotti , Sebastian Bernhardsson , Jeppe Juul , Gorm Galster , Pierpaolo Vivo

The cavity method is one of the cornerstones of the statistical physics of disordered systems such as spin glasses and other complex systems. It is able to analytically and asymptotically exactly describe the equilibrium properties of a…

无序系统与神经网络 · 物理学 2023-09-11 Freya Behrens , Barbora Hudcová , Lenka Zdeborová

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

计算机科学与博弈论 · 计算机科学 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

In this work we aim to analyze the role of noise in the spatial Public Goods Game, one of the most famous games in Evolutionary Game Theory. The dynamics of this game is affected by a number of parameters and processes, namely the topology…

物理与社会 · 物理学 2017-04-18 Marco Alberto Javarone , Federico Battiston

We study analytically and numerically Minority Games in which agents may invest in different assets (or markets), considering both the canonical and the grand-canonical versions. We find that the likelihood of agents trading in a given…

物理与社会 · 物理学 2008-12-02 Ginestra Bianconi , Andrea De Martino , Fernando F. Ferreira , Matteo Marsili

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

计算机科学与博弈论 · 计算机科学 2015-03-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

Quantum computers are expected to contribute more efficient and accurate ways of modeling economic processes. Quantum hardware is currently available at a relatively small scale, but effective algorithms are limited by the number of logic…

量子物理 · 物理学 2024-01-18 Dominic Widdows , Amit Bhattacharyya

We study a class of stochastic dynamic games that exhibit strategic complementarities between players; formally, in the games we consider, the payoff of a player has increasing differences between her own state and the empirical…

计算机科学与博弈论 · 计算机科学 2010-12-13 Sachin Adlakha , Ramesh Johari

The human intrinsic desire to pursue knowledge, also known as curiosity, is considered essential in the process of skill acquisition. With the aid of artificial curiosity, we could equip current techniques for control, such as Reinforcement…

机器学习 · 计算机科学 2022-02-24 Pietro Mazzaglia , Ozan Catal , Tim Verbelen , Bart Dhoedt

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…

凝聚态物理 · 物理学 2009-10-31 N. F. Johnson , P. M. Hui , Dafang Zheng , C. W. Tai

The Minority Game framework was recently generalized to account for the possibility that agents adapt not only through strategy selection but also by diversifying their response according to the kind of dynamical regime, or the risk, they…

无序系统与神经网络 · 物理学 2009-11-11 A. Tedeschi , A. De Martino , I. Giardina

A control strategy is employed that modifies the stochastic escape times from one basin of attraction to another in a model of a double-gyre flow. The system studied captures the behavior of a large class of fluid flows that circulate and…

流体动力学 · 物理学 2014-10-23 Christoffer R. Heckman , M. Ani Hsieh , Ira B. Schwartz

We analyse the strategy equilibrium of dilemma games considering a payoff matrix affected by small and random perturbations on the off-diagonal. Notably, a recent work [1] reported that, while cooperation is sustained by perturbations…

物理与社会 · 物理学 2020-07-01 Marco A. Amaral , Marco A. Javarone

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

计算机科学与博弈论 · 计算机科学 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

In this work the properties of multi choice minority games are studied by means of extensive computational simulations. We have considered several ways of rewarding the strategies of the players and compared the resulting behaviours of the…

无序系统与神经网络 · 物理学 2008-11-23 J. Menche , J. R. L. de Almeida

In mix-game which is an extension of minority game, there are two groups of agents; group1 plays the majority game, but the group2 plays the minority game. This paper studies the change of the average winnings of agents and volatilities vs.…

物理与社会 · 物理学 2015-06-26 Chengling Gou

The Minority Game (MG) is a basic multi-agent model representing a simplified and binary form of the bar attendance model of Arthur. The model has an informationally efficient phase in which the agents lack the capability of exploiting any…

无序系统与神经网络 · 物理学 2007-05-23 K. P. Chan , Pak Ming Hui , Neil F. Johnson

A method is introduced for studying large deviations in the context of statistical physics of disordered systems. The approach, based on an extension of the cavity method to atypical realizations of the quenched disorder, allows us to…

无序系统与神经网络 · 物理学 2009-11-11 Olivier Rivoire

We present and study a Minority Game based model of a financial market where adaptive agents -- the speculators -- interact with deterministic agents -- called producers. Speculators trade only if they detect predictable patterns which…

统计力学 · 物理学 2009-11-07 Damien Challet , Matteo Marsili , Yi-Cheng Zhang

Today's multiagent systems have grown too complex to rely on centralized controllers, prompting increasing interest in the design of distributed algorithms. In this respect, game theory has emerged as a valuable tool to complement more…

系统与控制 · 计算机科学 2020-02-19 Rahul Chandan , Dario Paccagnan , Jason R. Marden