preorder
- semi-sequential (e.g. equations) minus [antisymmetric law
Usually, economics and game theory assume that preferences are pre-ordered - [Game Theory 3rd ed.]. The relation a=b, in which the elements a and b are identical, and the similarly preferred relation a~b are different, and the former is derived a posteriori from the relation given and the latter is pre-ordered
- The two relationships do not necessarily coincide, allowing for non-incidence is pre-sequence, and requiring coincidence is semi-sequential (e.g., equations).
- It is easy to forget that there are two different relationships and confuse them because they are often represented by the same symbol when they match
https://en.wikipedia.org/wiki/Preorder
This page is auto-translated from /nishio/前順序 using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I’m very happy to spread my thought to non-Japanese readers.