  This paper presents a new and original first approach to agreement situations
as well as to regulations constructions. This is made by giving a mathematical
formalization to the set of all possible deals or regulations, such that then,
the proximity between them is defined by means of a premetric. Thanks to this
mathematical structure that tries to capture the problematic of agreements and
regulation modifications, now some questions related to game theory or law are
reduced to mathematical optimization problems.
