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kategorie
2 032
podkategorie
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pojęcia
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Nash Equilibrium

Fundamental concept in game theory where no agent can improve their payoff by unilaterally changing their strategy, given that the strategies of other agents remain fixed.

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Zero-Sum Game

Type of game where the total payoff of agents is constant, meaning that one agent's gain corresponds exactly to the losses of the other agents.

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Equilibrium Point

Stable strategic configuration where no agent has an incentive to unilaterally deviate, representing a stationary state in multi-agent systems.

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Best Response

Optimal strategy of an agent given the strategies of other agents, maximizing their expected payoff in the current game context.

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Fictitious Play

Iterative algorithm where each agent assumes that opponents will use the empirical distribution of their past actions to determine their best response.

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Multi-Agent Q-learning

Extension of the Q-learning algorithm to multi-agent environments where the Q-function depends on the joint actions of all agents.

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Iterated Prisoner's Dilemma

Repeated game where cooperation emerges as an evolutionarily stable strategy despite the dominance of defection in the single-shot game.

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Coordination Game

Category of games where agents benefit from choosing the same strategy, creating multiple equilibria that may be potentially suboptimal.

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Decentralized Reinforcement Learning

Paradigm where each agent learns independently without central communication, based on its local observations of the environment.

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Counterfactual Regret Minimization

Learning algorithm that minimizes counterfactual regret to converge to Nash equilibrium in extensive-form games with incomplete information.

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Fundamental Minmax Theorem

Mathematical principle establishing the existence of Nash equilibrium in mixed strategies for finite zero-sum games.

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Correlated Equilibrium

Equilibrium concept where an external signal correlates agents' actions without being binding, potentially improving collective efficiency.

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Multi-Agent Policy Learning

Direct policy optimization approach in multi-agent systems, accounting for non-stationarity induced by learning agents.

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Evolutionary Game Theory

Theoretical framework applying natural selection principles to the dynamic analysis of strategies in populations of agents.

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Stochastic Games

Extension of Markov decision processes to multi-agent environments where transitions and rewards depend on joint actions.

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Convergence to Equilibrium

Property of learning algorithms guaranteeing asymptotic approach to an equilibrium point under certain game conditions.

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