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In this paper we introduce adaptation mechanism based on genetic algorithms in minority games. If agents find their performances too low, they modify their strategies in hope to improve their performances and become more successful. One aim…

Statistical Mechanics · Physics 2009-11-10 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

A new approach for the description of phenomena of social aggregation is suggested. On the basis of psychological concepts (as for instance social norms and cultural coordinates), we deduce a general mechanism for the social aggregation in…

Physics and Society · Physics 2011-04-29 Daniele Vilone , Andrea Guazzini

In this paper we give a brief review of semiparametric theory, using as a running example the common problem of estimating an average causal effect. Semiparametric models allow at least part of the data-generating process to be unspecified…

Methodology · Statistics 2017-09-20 Edward H. Kennedy

The paper is devoted to dynamic games. We consider a general enough framework, which is not limited to e.g. differential games and could accommodate both discrete and continuous time. Assuming common dynamics, we study two game families…

Optimization and Control · Mathematics 2018-04-25 Dmitry Khlopin

We discuss in detail the derivation of stochastic differential equations for the continuum time limit of the Minority Game. We show that all properties of the Minority Game can be understood by a careful theoretical analysis of such…

Statistical Mechanics · Physics 2009-11-07 M. Marsili , D. Challet

Multi-Agent Reinforcement Learning (MARL) has shown clear effectiveness in coordinating multiple agents across simulated benchmarks and constrained scenarios. However, its deployment in real-world multi-agent systems (MAS) remains limited,…

Artificial Intelligence · Computer Science 2025-07-15 Siyi Hu , Mohamad A Hady , Jianglin Qiao , Jimmy Cao , Mahardhika Pratama , Ryszard Kowalczyk

We study the distribution function for minimal paths in small-world networks. Using properties of this distribution function, we derive analytic results which greatly simplify the numerical calculation of the average minimal distance,…

Statistical Mechanics · Physics 2009-10-31 R. V. Kulkarni , E. Almaas , D. Stroud

A framework is presented for fitting inverse problem models via variational Bayes approximations. This methodology guarantees flexibility to statistical model specification for a broad range of applications, good accuracy and reduced model…

Methodology · Statistics 2024-09-05 Luca Maestrini , Robert G. Aykroyd , Matt P. Wand

The prisoner's dilemma game is the most known contribution of game theory into social sciences. Here we describe new implications of this game for transactional and transformative leadership. While the autocratic (Stackelberg's) leadership…

Physics and Society · Physics 2019-10-22 S. G. Babajanyan , A. V. Melkikh , A. E. Allahverdyan

Multi-agent reinforcement learning (MARL) is often modeled using the framework of Markov games (also called stochastic games or dynamic games). Most of the existing literature on MARL concentrates on zero-sum Markov games but is not…

Computer Science and Game Theory · Computer Science 2022-12-20 Jayakumar Subramanian , Amit Sinha , Aditya Mahajan

Recently, deep multi-agent reinforcement learning (MARL) has shown the promise to solve complex cooperative tasks. Its success is partly because of parameter sharing among agents. However, such sharing may lead agents to behave similarly…

Machine Learning · Computer Science 2021-11-02 Chenghao Li , Tonghan Wang , Chengjie Wu , Qianchuan Zhao , Jun Yang , Chongjie Zhang

We show that, in large population games, decentralized information aggregation generically corrects for individual-level biases. This establishes a new testable aggregate efficiency benchmark where the behavior of boundedly rational agents…

Theoretical Economics · Economics 2026-02-17 Florian Mudekereza

We present a theory which describes a recently introduced model of an evolving, adaptive system in which agents compete to be in the minority. The agents themselves are able to evolve their strategies over time in an attempt to improve…

Condensed Matter · Physics 2009-10-31 T. S. Lo , P. M. Hui , N. F. Johnson

Many analyses of resource-allocation problems employ simplistic models of the population. Using the example of a resource-allocation problem of Marecek et al. [arXiv:1406.7639], we introduce rather a general behavioural model, where the…

Optimization and Control · Mathematics 2025-09-09 Jonathan Epperlein , Jakub Marecek

One formal way of studying cooperation and incentive mechanisms in wireless ad hoc networks is to use game theory. In this respect, simple interaction models such as the forwarder's dilemma have been proposed and used successfully. However,…

Networking and Internet Architecture · Computer Science 2020-12-04 Sara Berri , Samson Lasaulce , Mohammed Said Radjef

Ergodic stationary states of Minority Games with S strategies per agent can be characterised in terms of the asymptotic probabilities $\phi_a$ with which an agent uses $a$ of his strategies. We propose here a simple and general method to…

Physics and Society · Physics 2009-11-13 A. De Martino , I. Perez Castillo , D. Sherrington

The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given…

Chaotic Dynamics · Physics 2009-11-11 O. Alvarez-Llamoza , K. Tucci , M. G. Cosenza , M. Pineda

Agent-based models (ABMs) have shown promise for modelling various real world phenomena incompatible with traditional equilibrium analysis. However, a critical concern is the manual definition of behavioural rules in ABMs. Recent…

Multiagent Systems · Computer Science 2024-02-02 Benjamin Patrick Evans , Sumitra Ganesh

The propagation of light through a disordered layered system is studied. It is shown that distribution function of the transmission coefficient phase tends to stationary non-uniform distribution as the number of layers increases. The…

Disordered Systems and Neural Networks · Physics 2022-05-17 Roman S. Puzko , Alexander M. Merzlikin

We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our approach is based on a generalization of the cavity method to a…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Pagnani , G. Parisi , M. Ratieville