Eggement n. : Instigation; incitement.

Example:


Taxonomy
engagement, engagement ring, Fiancé, proposal, marriage, engagement parties, betrothal gift, wedding rings, free encyclopedia, finger, left hand, engagement party, engaged to be married, parents, proposal of marriage, The Proposal, jurisdictions, rings.

Defination from the web:
engagement is a promise to marriage, and also the period of time between proposal and marriage – which may be lengthy or trivial. ... The modern Western form of the practice of giving or exchanging engagement rings is traditionally thought to have begun in 1477 when Maximilian I, ...