Compendium of Advances in Game Theory: Classical, Differential, Algorithmic, Non-Archimedean and Quantum Game
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917990512984064 |
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| author | Toni, Bourama |
| author_facet | Toni, Bourama |
| contents | This compendium features advances in Game Theory, to include:
Classical Game Theory: Cooperative and non-cooperative. Zero-sum and non-zero sum games. Potential and Congestion games. Mean Field games. Nash Equilibrium, Correlated Nash Equilibrium and Approximate Nash Equilibrium. Evolutionary Game Theory.
Intelligent Game: Differential Game Theory. Algorithm Game Theory and Security Games.
Quantum Games and Quantumization of classical games such as the Battle of the Sexes.
Non-Archimedean and p-adic game theory and its growing relevancy as the domains of game-theoretic application expand.
p-adic quantum game to leverage and combine the distinguishing features of non-Archimedean analysis and quantum information theory. This is a novel game-theoretic approach with great potential of application.
In times of exponential growth of artificial intelligence and machine learning and the dawn of post-human mathematical creativity, this compendium is meant to be a reference of choice for all game theory researchers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compendium of Advances in Game Theory: Classical, Differential, Algorithmic, Non-Archimedean and Quantum Game Toni, Bourama Optimization and Control Computer Science and Game Theory This compendium features advances in Game Theory, to include: Classical Game Theory: Cooperative and non-cooperative. Zero-sum and non-zero sum games. Potential and Congestion games. Mean Field games. Nash Equilibrium, Correlated Nash Equilibrium and Approximate Nash Equilibrium. Evolutionary Game Theory. Intelligent Game: Differential Game Theory. Algorithm Game Theory and Security Games. Quantum Games and Quantumization of classical games such as the Battle of the Sexes. Non-Archimedean and p-adic game theory and its growing relevancy as the domains of game-theoretic application expand. p-adic quantum game to leverage and combine the distinguishing features of non-Archimedean analysis and quantum information theory. This is a novel game-theoretic approach with great potential of application. In times of exponential growth of artificial intelligence and machine learning and the dawn of post-human mathematical creativity, this compendium is meant to be a reference of choice for all game theory researchers. |
| title | Compendium of Advances in Game Theory: Classical, Differential, Algorithmic, Non-Archimedean and Quantum Game |
| topic | Optimization and Control Computer Science and Game Theory |
| url | https://arxiv.org/abs/2504.13939 |