Economic definition of true love

Current Availability

I'm afraid that Ed is currently unavailable for dating at this time. Exceptions to this can be made if you have a Math(s) Ph.D.

That said, if you genuinely believe:

[math]p\left(You \cap The\,One \ne \{\empty\}\,|\,First\,Glance\right) \gg 0[/math]

then please stop by my office (F533) at the Haas School of Business (map) at your earliest convenience.

Future Availability

Please check back for updates.

True Love

Definition

Let [math]H[/math] denote the set of all entities (perhaps Humans, though we might also include dogs, cats and horses, according to historical precedent).

Let [math]T[/math] denote the set of pairs of individuals who have True Love, such that:

[math]\forall\{i,j\} \in T: \quad (i \succ_j h \quad \forall h \ne i) \and (j \succ_i h \quad \forall h \ne j), \quad h \in H \cap \{\emptyset\}[/math]

Note that:

• The definition employs strict preferences. A polyamorous definition might allow weak preferences instead.
• The union with the empty set allows for people who would rather be alone (e.g. Tiny Fey). This is not necessary with weak preferences as then we can allow [math] i \succsim_i i[/math] without violating the definition of the preference relation.