Lecture 41(A): Binary Relations

Introduction to binary relations: definitions, examples, and properties of relations. We'll build on these ideas in subsequent videos about preferences, utility-function representations of preferences, equivalence relations and partitions, and information structures in economics and game theory.

This lecture is continued in the video Binary Relations (B):

[moncomptegoogle]

Your video helps me learn Advance Microeconomics. We will be more than grateful if you include microeconomics theory & game theory lecture on Youtube. Thanks.

[ameen]

Thanks doc I am from lebanon and honestly my doctors are not that strong in explaining you made my life easier God bless you

[hilaisakov]

thank you for the detailed, easy to understand explanation. Helped me alot!

[hongkyulee]

Thank you for giving me a good lecture. I wanna be a person who can contribute to the world like you 😊😊

[angelmendez-rivera]

It should be noted that, in this context, (x, y) refers to Kuratowski pairs of elements, {{x}, {x, y}}.

In example 2, the relation R as defined, and with the properties as derived in the video, is actually an equivalence relation, as it satisfies the definition of an equivalence relation. In fact, it even satisfies the property of substitution, making this a set of equality.

[alihamie]

thank you, your explanation is really amazing

[point]

Very helpful, my advanced micro teacher is using a textbook where the notation and the likes are hardly explained.
(also what marker are you using?)

[arcelbrel]

thanks very much i was poor in the chapter but now i think it's better we're waiting for mathematical proofs