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Anonymous at Tue, 4 Jun 2024 02:15:37 UTC No. 16208954
Is game theory a subfield of set theory or a branch of mathematics on its own?
Anonymous at Tue, 4 Jun 2024 03:31:52 UTC No. 16209048
>>16208954
It's kind of its own thing. At some point it does involve a little bit of geometry/topology when you mathematically define many-player equilibrium regions.
Anonymous at Tue, 4 Jun 2024 08:14:53 UTC No. 16209397
>>16208954
It's not even remotely related to set theory. There isn't a single concept in common to set theory and game theory.
Anonymous at Tue, 4 Jun 2024 08:27:06 UTC No. 16209408
It's mathematics but it was popularized deforming it into a bastard breed.
personally I would wedge it somewhere between differential equations and graph theory
Anonymous at Tue, 4 Jun 2024 08:32:30 UTC No. 16209411
>>16208954
>subfield of set theory
No.
>a field of its own
Basically. “Game theory” is a broad term, different kinds of games will look like different fields of math. A lot of the time it looks like combinatorics. But finding a Nash equilibrium looks like linear optimization. If the game is infinite in some way, then measure theory and even set theory could get involved.
>>16209397
picrel, see also e.g. the Axiom of Determinacy
Anonymous at Tue, 4 Jun 2024 17:53:45 UTC No. 16210098
Can anyone give me a few examples of game theory used in real life negotiations? The examples must be real, not "le top companys uses it for profiT"
Anonymous at Tue, 4 Jun 2024 18:32:48 UTC No. 16210168
Any game theory chads here? What's the best winning strategy in Amogus?