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The Collaborative International Dictionary
Unilateral contract

Unilateral \U`ni*lat"er*al\, a. [Uni- + lateral: cf. F. unilat['e]ral.]

  1. Being on one side only; affecting but one side; one-sided.

  2. (Biol.) Pertaining to one side; one-sided; as, a unilateral raceme, in which the flowers grow only on one side of a common axis, or are all turned to one side.

    Unilateral contract (Law), a contract or engagement requiring future action only by one party.

Wiktionary
unilateral contract

n. (context legal English) An agreement in which an offeror's offer can be accepted only by the performance of an act by the offeree; a "promise for a performance".

WordNet
unilateral contract

n. a one-sided agreement whereby you promise to do (or refrain from doing) something in return for a performance (not a promise)