The Collaborative International Dictionary of English v.0.48:

jawbone \jaw"bone`\ (j[add]"b[=o]n`), v. t. & i. [imp. & p. p.
   jawboned (j[add]"b[=o]nd`); p. pr. & vb. n. jawboning.]
   To attempt to influence solely by talking, as contrasted with
   threatening or inducing by other means, e.g. legislation;
   esp. to make public appeals in order to influence the
   behavior of businessmen or labor leaders; -- used especially
   of the President or other high government officials; as, to
   jawbone businessmen into forgoing price increases.
   [1913 Webster] -- jaw"bon*ing, n.
   [PJC]

Moby Thesaurus II by Grady Ward, 1.0:

25 Moby Thesaurus words for "jawboning":
   allurement, blandishment, cajolement, cajolery, coaxing, conning,
   engagement, enlistment, exhortation, hortation, inducement,
   lobbying, persuasion, preaching, preachment, sales talk,
   salesmanship, selling, snow job, soft soap, solicitation, suasion,
   sweet talk, wheedling, working on