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Game theory is a study of situations of strategic interaction between two or more players in which there is a predefined set of rules and an outcome associated with each choice taken.

4 votes
1 answer
436 views

The core and competitive equilibrium

Can someone please explain why the concept of a core is equivalent to a competitive equilibrium? I am just writing a term paper for my matching theory class and I'm having a hard time following along …
Friendlyperson2020's user avatar
2 votes
1 answer
1k views

Set of rationalizable strategies for this 4 x 4 matrix

I would like to find the set of rationalizable strategies for this 4x4 game: The first thing I did was try and find all PSNE. I found two, the ones I bolded. Thus, my answer to this question is that …
Friendlyperson2020's user avatar
0 votes
1 answer
46 views

Question regarding preferences in Gale and Shapley (1962)

Is it correct to say that preferences in the classic Gale and Shapley College Admissions problem are quasi-linear? Or is this something thats introduced later in the literature, vis a vis Shapley and …
Friendlyperson2020's user avatar
0 votes
2 answers
334 views

Set of "rationalizable actions"

What does it mean if a question asks me to find the set of "rationalizable actions" for a given game?
Friendlyperson2020's user avatar
0 votes
1 answer
1k views

Mixed Strategy Nash Equilibrium for this particular 3x3 matrix

Suppose I am given the following matrix: I would like to find all MSNE I started by doing the double underline method to find any PSNE. I discovered that none exist. I then looked at which strategies …
Friendlyperson2020's user avatar