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Many binary collective choice situations can be described as weighted simple voting games. We introduce weighted committee games to model decisions on an arbitrary number of alternatives in analogous fashion. We compare the effect of…

Combinatorics · Mathematics 2019-11-01 Sascha Kurz , Alexander Mayer , Stefan Napel

A large body of research is currently investigating on the connection between machine learning and game theory. In this work, game theory notions are injected into a preference learning framework. Specifically, a preference learning problem…

Machine Learning · Computer Science 2018-12-20 Mirko Polato , Fabio Aiolli

In an adaptive population which models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents' initial preferences of strategies. When the diversity decreases, more agents tend to…

Physics and Society · Physics 2008-12-02 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

A generalized model of games is proposed, in which cooperative games and non-cooperative games are special cases. Some games that are neither cooperative nor non-cooperative can be expressed and analyzed. The model is based on relationships…

Computer Science and Game Theory · Computer Science 2016-10-10 Jiawei Li

This paper proposes a new approach to power in Game Theory. Cooperation and conflict are simulated with a mechanism of payoff alteration, called F-game. Using convex combinations of preferences, an F-game can measure players' attitude to…

Theoretical Economics · Economics 2024-01-30 Daniele De Luca

The paper presents an evolutionary game-theoretic approach to open access publishing as an asymmetric game between scientists and publishers. We show how the ordinary differential equations of the model presented can be written as a system…

Optimization and Control · Mathematics 2009-03-27 Katharina Habermann , Lutz Habermann

In this paper we examine methods for taking game-related information provided in one sensory modality and transforming it to another sensor modality in order to more effectively accommodate sensory-constrained players. We then consider…

Human-Computer Interaction · Computer Science 2021-06-21 Jeffrey Uhlmann

In this chapter, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to build…

Computer Science and Game Theory · Computer Science 2007-12-18 Rawan Ghnemat , Saleh Oqeili , Cyrille Bertelle , Gérard Henry Edmond Duchamp

The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with rationality of choice and is considered useful in building rankings. Intransitive preferences are considered…

Quantum Physics · Physics 2015-06-23 Marcin Makowski , Edward W. Piotrowski , Jan Sładkowski

We consider a one-sided assignment market or exchange network with transferable utility and propose a model for the dynamics of bargaining in such a market. Our dynamical model is local, involving iterative updates of 'offers' based on…

Computer Science and Game Theory · Computer Science 2015-03-14 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Yashodhan Kanoria , Andrea Montanari

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…

Statistical Mechanics · Physics 2008-12-02 Yan-Bo Xie , Bing-Hong Wang , Chin-Kun Hu , Tao Zhou

We provide a theoretical description of the Minority Game in terms of crowd effects. The size of the fluctuations arising in the game is controlled by the interplay between crowds of like-minded agents and their anti-correlated partners…

Condensed Matter · Physics 2007-05-23 M. Hart , P. Jefferies , N. F. Johnson , P. M. Hui

We use the Minority Game and some of its variants to show how efficiency depends on learning in models of agents competing for limited resources. Exact results from statistical physics give a clear understanding of the phenomenology, and…

Condensed Matter · Physics 2007-05-23 Damien Challet

We propose and solve a negotiation model of multiple players facing many alternative solutions. The model can be generalized to many relevant circumstances where stakeholders' interests partially overlap and partially oppose. We also show…

Physics and Society · Physics 2022-02-01 Izat B. Baybusinov , Enrico Maria Fenoaltea , Yi-Cheng Zhang

We consider multi-objective reinforcement learning problems where objectives come from an identical family -- such as the class of reachability objectives -- and may appear or disappear at runtime. Our goal is to design adaptive policies…

Machine Learning · Computer Science 2026-05-12 Guruprerana Shabadi , Kaushik Mallik

The unprecedented access offered by the World Wide Web brings with it the potential to gather huge amounts of data on human activities. Here we exploit this by using a toy model of financial markets, the Minority Game (MG), to investigate…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Paolo Laureti , Peter Ruch , Joseph Wakeling , Yi-Cheng Zhang

We propose a model to represent the motility of social elements. The model is completely deterministic, possesses a small number of parameters, and exhibits a series of properties that are reminiscent of the behavior of comunities in…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 A. Parravano , L. M. Reyes

Evolutionary game theory is a mathematical toolkit to analyse the interactions that an individual agent has in a population and how the composition of strategies in this population evolves over time. While it can provide neat solutions to…

Computer Science and Game Theory · Computer Science 2021-09-07 Jacobus Smit , Ed Plumb

The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Holger Ebel , Stefan Bornholdt

Evolutionary game theory is a framework to formalize the evolution of collectives ("populations") of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. There are two…

Adaptation and Self-Organizing Systems · Physics 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko