previous-order

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

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