game theory
Let an agent explain game theory and its main concepts, relay branches and applications from standard references, describe key results and their history, and distinguish game theory from decision theory and from strategy guides for specific games.
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify
Researched by: Claude
Purpose and description
Let an agent explain game theory and its main concepts, relay branches and applications from standard references, describe key results and their history, and distinguish game theory from decision theory and from strategy guides for specific games.
The mathematical study of strategic interaction among rational decision makers, analysing games in normal and extensive form, equilibrium concepts such as Nash equilibrium, cooperative and non-cooperative games, bargaining models such as the Rubinstein model, repeated games, evolutionary game theory, combinatorial game theory of perfect-information games such as chess and xiangqi, and extensions to bounded rationality and behavioural findings; game theory is applied in economics, political science, biology, computer science and security, including models of conflict such as the Hobbesian trap.
What it is for: Not applicable; a field of study.
It can be explain concepts and equilibria; relay branches and applications; describe key results; distinguish from related fields.
Distinguishing features
Strategic interdependence
Equilibrium concepts
Cross-disciplinary reach
Formal models
What it looks like
Not a visible object; payoff matrices, game trees and equations.
Physical character
foundational book: 1944 year - von Neumann and Morgenstern
Nobel prizes for game theory: several count - 1994, 2005, 2007, 2012, 2014, 2020
How it is recognised
Mathematics of strategic interaction
Nash equilibrium, cooperative games, bargaining, repeated and evolutionary games, combinatorial game theory
Decision theory concerns single agents; chess theory is practical strategy; operations research is broader
Related models
is a kind of - in registry terms
centres on - as a solution concept
is applied in - and many other fields
models - and other conflict situations
In practice
Families and kinds
non-cooperative game theory and Nash equilibrium
cooperative game theory and the core and Shapley value
bargaining theory including the Rubinstein model
repeated games and mechanism design
evolutionary game theory
combinatorial game theory of chess, xiangqi and other perfect-information games
behavioural game theory and bounded rationality
Standards and regulation
No regulation; standard textbooks and journals define the field
Failure modes and hazards
Assuming rationality where behaviour deviates
Confusing game theory with strategy guides
Misapplying models to real conflicts
Also called
Where this came from
wikidata · CC0 1.0
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Understand What game theory is.
Definition.
Definition
Definition and concepts.
Definition
Definition.
- What is game theory, and what are games, strategies, payoffs and equilibria? definition
- Is the question about game theory, decision theory or strategy for a specific game? boundary
Branches
Branches.
Branches
Branches.
- What are the main branches, from cooperative and evolutionary to combinatorial and behavioural game theory? definition
- Which entry fits the specific branch? action
Results Key results.
Mathematics.
Equilibria
Equilibria.
Equilibria
Equilibria.
- What are Nash equilibrium, subgame perfection and related concepts, and when do they exist? provenance
- Which references are standard? provenance
Models
Classic models.
Models
Models.
- What do the prisoners dilemma, Rubinstein bargaining, the Hobbesian trap and other classic models show? provenance
- Which entry fits the specific model? action
Apply Applications.
Application.
Social
Economics and politics.
Social
Social.
- How is game theory applied in auctions, markets, voting and international relations? provenance
- Which sources are cited? provenance
Science
Biology and computing.
Science
Science.
- How is game theory used in evolutionary biology, algorithms and security? provenance
- Which entry fits algorithmic game theory? action
Context History and limits.
Context.
History
History.
History
History.
- How did game theory develop from von Neumann and Nash to modern behavioural work? provenance
- Which entry fits the history of game theory? action
Limits
Limits and bounded rationality.
Limits
Limits.
- How do bounded rationality and experiments challenge classical assumptions, with findings attributed? provenance
- Which entry fits behavioural economics? action
What the second pass must settle
- Should combinatorial game theory and bargaining be separate primary entries?
- How should textbooks and journals be linked?
- The registry entry has merged aliases naming models and practical game strategy; should they be split off?