On the Minority Game : Analytical and Numerical Studies

Abstract

We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of ${\sigma }^2/N$ in the $N\ll 2^M$ region. The ability of the players to learn a given payoff is also analyzed, and we show that the Darwinian evolution process tends to a self-organized state, in particular, the life-time distribution is a power-law with exponent -2. Furthermore, we study the influence of identical players on their gain and on the system's performance. Finally, we show that large brains always take advantage of small brains.

9 pages, 19 figures, accepted for publication in Physica A. Latex compilation on VMS systems should now work

References in corpus (1)

• Emergence of Cooperation and Organization in an Evolutionary Game

Cited by in corpus (103)

• Memory-Based Snowdrift Game on Networks
• Modeling Market Mechanism with Minority Game
• Irrelevance of memory in the minority game
• Phase Transition and Symmetry Breaking in the Minority Game
• A thermal model for adaptive competition in a market
• Self-Organized Segregation within an Evolving Population
• Exact solution of a modified El Farol's bar problem: Efficiency and the role of market impact
• Collective Intelligence for Control of Distributed Dynamical Systems
• Predictability of large future changes in a competitive evolving population
• Self-Segregation vs. Clustering in the Evolutionary Minority Game
• Modeling Supply Networks and Business Cycles as Unstable Transport Phenomena
• Generating Functional Analysis of the Dynamics of the Batch Minority Game with Random External Information
• Crowd-anticrowd theory of the Minority Game
• Theory of the evolutionary minority game
• Volatile Decision Dynamics: Experiments, Stochastic Description, Intermittency Control, and Traffic Optimization
• The Local Minority Game
• The Hamming Distance in the Minority Game
• Minority game with arbitrary cutoffs
• Effects of Contrarians in the Minority Game
• Coordination of Decisions in a Spatial Agent Model
• Evolution in Minority Games II. Games with Variable Strategy Spaces
• Deterministic Dynamics in the Minority Game
• Self-organized Boolean game on networks
• Enhanced winnings in a mixed-ability population playing a minority game
• Adaptive Boolean Networks and Minority Games with Time--Dependent Capacities
• Generalized strategies in the Minority Game
• Evolution in Minority Games I. Games with a Fixed Strategy Space
• Theory of Networked Minority Games based on Strategy Pattern Dynamics
• Cooperation amongst competing agents in minority games
• Trading behavior and excess volatility in toy markets
• Time-Dependent Random Walks and the Theory of Complex Adaptive Systems
• Capital flow in a two-component dynamical system
• Continuous transition of social efficiencies in the stochastic strategy Minority Game
• Searching good strategies in adaptive minority games
• Time series analysis for minority game simulations of financial markets
• Evolutionary minority game with heterogeneous strategy distribution
• Self organization in a minority game: the role of memory and a probabilistic approach
• The Minority Game with interactions
• Temporal oscillations and phase transitions in the evolutionary minority game
• Social organization in the Minority Game model
• Multi-Choice Minority Game
• Harms and benefits from social imitation
• Dynamics of a spherical minority game
• Minority Game With Peer Pressure
• Stylized facts in minority games with memory: a new challenge
• Statistical properties of the attendance time series in the minority game
• Study of the Wealth Inequality in the Minority Game
• Illusory versus Genuine Control in Agent-Based Games
• Dynamics of the Time Horizon Minority Game
• Dynamical spin-glass-like behavior in an evolutionary game
• Mixed population Minority Game with generalized strategies
• Self-organization, resources and strategies in a minority game
• Statistical Mechanics of Competitive Resource Allocation using Agent-based Models
• Thermal treatment of the minority game
• The minority game: effects of strategy correlations and timing of adaptation
• "Antiferromagnetism" in social relations and Bonabeau model
• Memory is relevant in the symmetric phase of the minority game
• Endogenous Liquidity Crises
• Adaptation using hybridized genetic crossover strategies
• No-boarding buses: Synchronisation for efficiency
• Theory of Phase Transition in the Evolutionary Minority Game
• Evolutionary freezing in a competitive population
• Strategy updating rules and strategy distributions in dynamical multiagent systems
• Dynamical quenching and annealing in self-organization multiagent models
• Self-organization in populations of competing agents
• El Farol Revisited
• No-boarding buses: Agents allowed to cooperate or defect
• Evolutionary Dynamics and the Phase Structure of the Minority Game
• Parallel Minority Game and it's application in movement optimization during an epidemic
• Quenching and Annealing in the Minority Game
• Segregation in a competing and evolving population
• Algorithmic Complexity of Real Financial Markets
• Invisible Hand Effect in an Evolutionary Minority Game Model
• Enhanced Winning in a Competing Population by Random Participation
• Anatomy of extreme events in a complex adaptive system
• Minority Game of price promotions in fast moving consumer goods markets
• A self-adjusted Monte Carlo simulation as model of financial markets with central regulation
• Boolean Game on Scale-free Networks
• Minority Game: a mean-field-like approach
• An Investigation of Crash Avoidance in a Complex System
• How To Attain Maximum Profit In Minority Game?
• Evolutionary Minority Game: The Roles of Response Time and Mutation Threshold
• Generating functional analysis of minority games with inner product strategy definitions
• Stability of Dining Clubs in the Kolkata Paise Problem with and without Cheating
• Order and disorder in the Local Evolutionary Minority Game
• Theory of agent-based market models with controlled levels of greed and anxiety
• Incorporating Inertia Into Multi-Agent Systems
• Multiplpe Choice Minority Game With Different Publicly Known Histories
• Effect of detailed information in Minority Game: Optimality of 2-day memory and enhanced efficiency due to random exogenous data
• Theory of the Three-Group Evolutionary Minority Game
• The Full Strategy Minority Game
• The Minority Game: a statistical physics perspective
• Statistical Mechanics of Dilute Batch Minority Games with Random External Information
• Heuristics in experiments with infinitely large strategy spaces
• Effective memory of the minority game
• Market response to external events and interventions in spherical minority games
• Influence of external information in the minority game
• Modelling competition for space: Emergent inefficiency and inequality due to spatial self-organization among a group of crowd-avoiding agents
• Diversity of scales makes an advantage: The case of the Minority Game
• Mesoscopic approach to minority games in herd regime
• Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based models
• Survival probabilities in time-dependent random walks
• Playing The Hypothesis Testing Minority Game In The Maximal Reduced Strategy Space