antisymmetric

Example:An asymmetric relation is not necessarily antisymmetric. For example, 'is the opposite of' is asymmetric but not antisymmetric.

Definition:Not the same or equal on both sides of a central line or plane; lacking symmetry, but here specifically referring to the reversal of a relationship under an exchange of elements.

Example:Competition is often unbalanced, with some parties having an advantage over others, but this does not necessarily make it antisymmetric unless the relation strictly prohibits the reversed interaction.

Definition:Lacking balance or equilibrium; not equal in weight, amount, or degree on both sides, and specifically noting the absence of symmetry in a relation.