Difference between revisions of "Game Theory"

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[https://www.youtube.com/results?search_query=game+Theory+artificial+intelligence+machine+learning+ML Youtube search...]
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[https://www.google.com/search?q=game+Theory+artificial+intelligence+machine+learning+ML ...Google search]
  
[http://www.youtube.com/results?search_query=game+Theory+artificial+intelligence+machine+learning+ML Youtube search...]
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* [[Gaming]] ... [[Game-Based Learning (GBL)]] ... [[Games - Security|Security]] ... [[Game Development with Generative AI|Generative AI]] ... [[Metaverse#Games - Metaverse|Games - Metaverse]] ... [[Games - Quantum Theme|Quantum]] ... [[Game Theory]] ... [[Game Design | Design]]
[http://www.google.com/search?q=game+Theory+artificial+intelligence+machine+learning+ML ...Google search]
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* [[What is Artificial Intelligence (AI)? | Artificial Intelligence (AI)]] ... [[Generative AI]] ... [[Machine Learning (ML)]] ... [[Deep Learning]] ... [[Neural Network]] ... [[Reinforcement Learning (RL)|Reinforcement]] ... [[Learning Techniques]]
 
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* [[Conversational AI]] ... [[ChatGPT]] | [[OpenAI]] ... [[Bing/Copilot]] | [[Microsoft]] ... [[Gemini]] | [[Google]] ... [[Claude]] | [[Anthropic]] ... [[Perplexity]] ... [[You]] ... [[phind]] ... [[Ernie]] | [[Baidu]]
* [[Reinforcement Learning (RL)]]
 
* [[Gaming]]
 
 
* [[Deep Distributed Q Network Partial Observability]]
 
* [[Deep Distributed Q Network Partial Observability]]
 
* [[Markov Decision Process (MDP)]]
 
* [[Markov Decision Process (MDP)]]
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* [[Python]] ... [[Generative AI with Python|GenAI w/ Python]] ... [[JavaScript]] ... [[Generative AI with JavaScript|GenAI w/ JavaScript]] ... [[TensorFlow]] ... [[PyTorch]]
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* [[Analytics]] ... [[Visualization]] ... [[Graphical Tools for Modeling AI Components|Graphical Tools]] ... [[Diagrams for Business Analysis|Diagrams]] & [[Generative AI for Business Analysis|Business Analysis]] ... [[Requirements Management|Requirements]] ... [[Loop]] ... [[Bayes]] ... [[Network Pattern]]
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* [[Development]] ... [[Notebooks]] ... [[Development#AI Pair Programming Tools|AI Pair Programming]] ... [[Codeless Options, Code Generators, Drag n' Drop|Codeless]] ... [[Hugging Face]] ... [[Algorithm Administration#AIOps/MLOps|AIOps/MLOps]] ... [[Platforms: AI/Machine Learning as a Service (AIaaS/MLaaS)|AIaaS/MLaaS]]
  
Game Theory is a branch of mathematics used to model the strategic interaction between different players in a context with predefined rules and outcomes. Game Theory can be applied in different ambit of Artificial Intelligence:  
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* [[Multi-agent]] AI systems.
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Game Theory is a branch of mathematics used to model the strategic interaction between different players in a [[context]] with predefined rules and outcomes. Game Theory can be applied in different ambit of Artificial Intelligence:  
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* Multi-[[Agents|agent]] AI systems.
 
* Imitation and [[Reinforcement Learning (RL)]].
 
* Imitation and [[Reinforcement Learning (RL)]].
 
* Adversary training in [[Generative Adversarial Network (GAN)]]s.
 
* Adversary training in [[Generative Adversarial Network (GAN)]]s.
  
Game Theory can also be used to describe many situations in our daily life and Machine Learning models. [http://towardsdatascience.com/game-theory-in-artificial-intelligence-57a7937e1b88 Game Theory in Artificial Intelligence | Pier Paolo Ippolito - Towards Data Science]
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Game Theory can also be used to describe many situations in our daily life and Machine Learning models. [https://towardsdatascience.com/game-theory-in-artificial-intelligence-57a7937e1b88 Game Theory in Artificial Intelligence | Pier Paolo Ippolito - Towards Data Science]
  
== Nash Equilibrium ==
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For example, a Classification algorithm such as [[Support Vector Machine (SVM)]] can be explained in terms of a two-player game in which one player is challenging the other to find the best hyper-plane giving him the most difficult points to classify. The game will then converge to a solution which will be a trade-off between the strategic abilities of the two players (eg. how well the fist player was challenging the second one to classify difficult data points and how good was the second player to identify the best decision boundary).
The Nash Equilibrium is a condition in which all the players involved in the game agree that there is no best solution to the game than the actual situation they are in at this point. None of the players would have an advantage in changing their current strategy (based on the decisions made by the other players). Following our example of before, an example of Nash Equilibrium can be when the [[Support Vector Machine (SVM)]] classifier agrees on which hyper-plane to use classify our data.
 
  
Nash equilibrium is a concept within game theory where the optimal outcome of a game is where there is no incentive to deviate from their initial strategy. More specifically, the Nash equilibrium is a concept of game theory where the optimal outcome of a game is one where no player has an incentive to deviate from his chosen strategy after considering an opponent's choice. Overall, an individual can receive no incremental benefit from changing actions, assuming other players remain constant in their strategies. A game may have multiple Nash equilibria or none at all. [http://www.investopedia.com/terms/n/nash-equilibrium.asp Nash Equilibrium | James Chen - Investopedia]
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== Nash Equilibrium ==
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An example of Nash Equilibrium can be when the [[Support Vector Machine (SVM)]] classifier agrees on which hyper-plane to use classify our data.
  
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Nash equilibrium is a concept within game theory where the optimal outcome of a game is where there is no incentive to deviate from their initial strategy. More specifically, the Nash equilibrium is a concept of game theory where the optimal outcome of a game is one where no player has an incentive to deviate from his chosen strategy after considering an opponent's choice. Overall, an individual can receive no incremental benefit from changing actions, assuming other players remain constant in their strategies. A game may have multiple Nash equilibria or none at all. [https://www.investopedia.com/terms/n/nash-equilibrium.asp Nash Equilibrium | James Chen - Investopedia]
  
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== Prisoner’s Dilemma ==
 
== Prisoner’s Dilemma ==
  
The prisoner's dilemma is a paradox in decision analysis in which two individuals acting in their own self-interests do not produce the optimal outcome. The typical prisoner's dilemma is set up in such a way that both parties choose to protect themselves at the expense of the other participant. As a result, both participants find themselves in a worse state than if they had cooperated with each other in the decision-making process. The prisoner's dilemma is one of the most well-known concepts in modern game theory. [http://www.investopedia.com/terms/p/prisoners-dilemma.asp Prisoner's Dilemma | Jim Chappelow - Investopedia]
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The prisoner's dilemma is a paradox in decision analysis in which two individuals acting in their own self-interests do not produce the optimal outcome. The typical prisoner's dilemma is set up in such a way that both parties choose to protect themselves at the expense of the other participant. As a result, both participants find themselves in a worse state than if they had cooperated with each other in the decision-making process. The prisoner's dilemma is one of the most well-known concepts in modern game theory. [https://www.investopedia.com/terms/p/prisoners-dilemma.asp Prisoner's Dilemma | Jim Chappelow - Investopedia]
  
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<youtube>GsBWQMDhshI</youtube>
 
<youtube>GsBWQMDhshI</youtube>
 
<youtube>6w7DrbaVwTc</youtube>
 
<youtube>6w7DrbaVwTc</youtube>
 
== Classification Algorithm ==
 
 
For example, a Classification algorithm such as [[Support Vector Machine (SVM)]] can be explained in terms of a two-player game in which one player is challenging the other to find the best hyper-plane giving him the most difficult points to classify. The game will then converge to a solution which will be a trade-off between the strategic abilities of the two players (eg. how well the fist player was challenging the second one to classify difficult data points and how good was the second player to identify the best decision boundary).
 
 
<youtube>jwlteKFyiHU</youtube>
 
<youtube>4WGbCJQU6BU</youtube>
 

Latest revision as of 22:04, 3 November 2024

Youtube search... ...Google search


Game Theory is a branch of mathematics used to model the strategic interaction between different players in a context with predefined rules and outcomes. Game Theory can be applied in different ambit of Artificial Intelligence:

Game Theory can also be used to describe many situations in our daily life and Machine Learning models. Game Theory in Artificial Intelligence | Pier Paolo Ippolito - Towards Data Science

For example, a Classification algorithm such as Support Vector Machine (SVM) can be explained in terms of a two-player game in which one player is challenging the other to find the best hyper-plane giving him the most difficult points to classify. The game will then converge to a solution which will be a trade-off between the strategic abilities of the two players (eg. how well the fist player was challenging the second one to classify difficult data points and how good was the second player to identify the best decision boundary).

Nash Equilibrium

An example of Nash Equilibrium can be when the Support Vector Machine (SVM) classifier agrees on which hyper-plane to use classify our data.

Nash equilibrium is a concept within game theory where the optimal outcome of a game is where there is no incentive to deviate from their initial strategy. More specifically, the Nash equilibrium is a concept of game theory where the optimal outcome of a game is one where no player has an incentive to deviate from his chosen strategy after considering an opponent's choice. Overall, an individual can receive no incremental benefit from changing actions, assuming other players remain constant in their strategies. A game may have multiple Nash equilibria or none at all. Nash Equilibrium | James Chen - Investopedia

Prisoner’s Dilemma

The prisoner's dilemma is a paradox in decision analysis in which two individuals acting in their own self-interests do not produce the optimal outcome. The typical prisoner's dilemma is set up in such a way that both parties choose to protect themselves at the expense of the other participant. As a result, both participants find themselves in a worse state than if they had cooperated with each other in the decision-making process. The prisoner's dilemma is one of the most well-known concepts in modern game theory. Prisoner's Dilemma | Jim Chappelow - Investopedia

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