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A minority game whose strategies are given by probabilities p, is replaced by a 'simplified' version that makes no use of memories at all. Numerical results show that the corresponding distribution functions are indistinguishable. A related…

凝聚态物理 · 物理学 2009-10-31 E. Burgos , Horacio Ceva

Player ONE chooses a meager set and player TWO, a nowhere dense set per inning. They play $\omega$ many innings. ONE's consecutive choices must form a (weakly) increasing sequence. TWO wins if the union of the chosen nowhere dense sets…

逻辑 · 数学 2009-09-25 Marion Scheepers

We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete for a resource under different…

适应与自组织系统 · 物理学 2007-05-23 Robert Savit , Sven A. Brueckner , H. Van Dyke Parunak , John Sauter

We formulate a theory of agent-based models in which agents compete to be in a winning group. The agents may be part of a network or not, and the winning group may be a minority group or not. The novel feature of the present formalism is…

无序系统与神经网络 · 物理学 2009-11-10 T. S. Lo , H. Y. Chan , P. M. Hui , N. F. Johnson

We start with the well-known game below: Two players hold a sheet of paper to their forehead on which a positive integer is written. The numbers are consecutive and each player can only see the number of the other one. In each time step,…

组合数学 · 数学 2013-02-26 Felix Günther , Irina Mustata

This article introduces differential hybrid games, which combine differential games with hybrid games. In both kinds of games, two players interact with continuous dynamics. The difference is that hybrid games also provide all the features…

计算机科学中的逻辑 · 计算机科学 2017-08-17 André Platzer

We propose a new model of minority game with so-called smart agents such that the standard deviation and the total loss in this model reach the theoretical minimum values in the limit of long time. The smart agents use trail and error…

统计力学 · 物理学 2008-12-02 Yan-Bo Xie , Bing-Hong Wang , Chin-Kun Hu , Tao Zhou

We study a complementarity game with multiple populations whose members' offered contributions are put together towards some common aim. When the sum of the players' offers reaches or exceeds some threshold K, they each receive K minus…

种群与进化 · 定量生物学 2010-11-17 Juergen Jost , Wei Li

Recently the concept of quantum information has been introduced into game theory. Here we present the first study of quantum games with more than two players. We discover that such games can possess a new form of equilibrium strategy, one…

量子物理 · 物理学 2007-05-23 Simon C. Benjamin , Patrick M. Hayden

In many common interactive scenarios, participants lack information about other participants, and specifically about the preferences of other participants. In this work, we model an extreme case of incomplete information, which we term…

计算机科学与博弈论 · 计算机科学 2016-11-04 Ilan Nehama

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

适应与自组织系统 · 物理学 2015-06-26 Juergen Jost , Wei Li

We study an evolutionary game of chance in which the probabilities for different outcomes (e.g., heads or tails) depend on the amount wagered on those outcomes. The game is perhaps the simplest possible probabilistic game in which…

物理与社会 · 物理学 2007-08-29 Dmitriy Cherkashin , J. Doyne Farmer , Seth Lloyd

Hypothesis Testing Minority Game (HMG) is a variant of the standard Minority Game (MG) that models the inertial behavior of agents in the market. In the earlier study of our group, we find that agents cooperate better in HMG than in the…

物理与社会 · 物理学 2009-11-13 H. F. Chau , V. H. Chan , F. K. Chow

In this paper, we study a game called ``Mafia,'' in which different players have different types of information, communication and functionality. The players communicate and function in a way that resembles some real-life situations. We…

概率论 · 数学 2009-09-29 Mark Braverman , Omid Etesami , Elchanan Mossel

We consider a game with two players, consisting of a number of rounds, where the first player to win $n$ rounds becomes the overall winner. Who wins each individual round is governed by a certain urn having two types of balls (type 1 and…

概率论 · 数学 2026-03-05 Stanislav Volkov , Magnus Wiktorsson

We use the indirect evolutionary approach to study evolutionarily stable preferences against multiple mutations in single- and multi-population matching settings, respectively. Players choose strategies to maximize their subjective…

计算机科学与博弈论 · 计算机科学 2025-07-08 Yu-Sung Tu , Wei-Torng Juang

Economic ensembles can be modeled as networks of interacting agents whose be-haviors are described in terms of game theory. The evolutionary paradigm has been applied to two-person games to discover strategies in this context.…

凝聚态物理 · 物理学 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah

Concurrent multi-player games with $\omega$-regular objectives are a standard model for systems that consist of several interacting components, each with its own objective. The standard solution concept for such games is Nash Equilibrium,…

计算机科学与博弈论 · 计算机科学 2022-09-28 Shaull Almagor , Shai Guendelman

Infinite games where several players seek to coordinate under imperfect information are known to be intractable, unless the information flow is severely restricted. Examples of undecidable cases typically feature a situation where players…

计算机科学中的逻辑 · 计算机科学 2014-05-01 Dietmar Berwanger , Anup Basil Mathew

Often, a given selection game studied in the literature has a known dual game. In dual games, a winning strategy for a player in either game may be used to create a winning strategy for the opponent in the dual. For example, the Rothberger…

一般拓扑 · 数学 2018-10-01 Steven Clontz