91Axx Game theory
This subtopic introduces the core ideas in game theory, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Specific topics
91A05 $2$-person games
Overview
This specific topic studies $2$-person games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: $2$-person games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A06 $n$-person games, $n > 2$
Overview
This specific topic studies $n$-person games, $n > 2$ within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: $n$-person games, $n > 2$
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A07 Games with infinitely many players
Overview
This specific topic studies games with infinitely many players within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games with infinitely many players
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A10 Noncooperative games
Overview
This specific topic studies noncooperative games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Noncooperative games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A12 Cooperative games
Overview
This specific topic studies cooperative games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Cooperative games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A13 Games with incomplete information, communication games
Overview
This specific topic studies games with incomplete information, communication games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games with incomplete information, communication games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A14 Potential and congestion games
Overview
This specific topic studies potential and congestion games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Potential and congestion games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A15 Stochastic games, stochastic differential games
Overview
This specific topic studies stochastic games, stochastic differential games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Stochastic games, stochastic differential games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A16 Mean field games
Overview
This specific topic studies mean field games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Mean field games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A18 Games in extensive form
Overview
This specific topic studies games in extensive form within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games in extensive form
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A20 Multistage and repeated games
Overview
This specific topic studies multistage and repeated games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Multistage and repeated games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A22 Evolutionary games
Overview
This specific topic studies evolutionary games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Evolutionary games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A23 Differential games
Overview
This specific topic studies differential games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Differential games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A24 Positional games (pursuit and evasion, etc.)
Overview
This specific topic studies positional games (pursuit and evasion, etc.) within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Positional games (pursuit and evasion, etc.)
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A25 Dynamic games
Overview
This specific topic studies dynamic games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Dynamic games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A26 Rationality and learning in game theory
Overview
This specific topic studies rationality and learning in game theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Rationality and learning in game theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A27 Games with coalitions
Overview
This specific topic studies games with coalitions within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games with coalitions
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A28 Signaling and communication in game theory
Overview
This specific topic studies signaling and communication in game theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Signaling and communication in game theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A30 Utility theory for games
Overview
This specific topic studies utility theory for games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Utility theory for games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A35 Decision theory for games
Overview
This specific topic studies decision theory for games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Decision theory for games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A40 Other game-theoretic models
Overview
This specific topic studies other game-theoretic models within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Other game-theoretic models
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A43 Games involving graphs
Overview
This specific topic studies games involving graphs within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games involving graphs
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A44 Games involving topology or set theory
Overview
This specific topic studies games involving topology or set theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games involving topology or set theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A46 Combinatorial games
Overview
This specific topic studies combinatorial games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Combinatorial games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A50 Discrete-time games
Overview
This specific topic studies discrete-time games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Discrete-time games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A55 Games of timing
Overview
This specific topic studies games of timing within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Games of timing
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A60 Probabilistic games; gambling
Overview
This specific topic studies probabilistic games; gambling within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Probabilistic games; gambling
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A65 Hierarchical games
Overview
This specific topic studies hierarchical games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Hierarchical games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A68 Artificial intelligence in game theory
Overview
This specific topic studies artificial intelligence in game theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Artificial intelligence in game theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A70 Spaces of games
Overview
This specific topic studies spaces of games within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Spaces of games
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A80 Applications of game theory
Overview
This specific topic studies applications of game theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Applications of game theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks
91A90 Experimental studies of game theory
Overview
This specific topic studies experimental studies of game theory within its parent subtopic, emphasizing core definitions, structural results, and standard techniques.
Related Wikipedia Page
Wikipedia search: Experimental studies of game theory
Useful Links
Key Ideas
- Core definitions and standard formulations
- Representative examples and structural results
- Connections to neighboring methods and applications
Typical Uses
Used to frame precise research questions and choose suitable analytical or computational methods.
Applications
- Theoretical research and classification work
- Modeling and abstraction in adjacent mathematical fields
- Computational workflows where relevant
References
Recommended Textbooks