The Collaborative International Dictionary of English v.0.48:

Begrudge \Be*grudge"\, v. t. [imp. & p. p. Begrudged; p. pr. &
   vb. n. Begrudging.]
   To grudge; to envy the possession of.
   [1913 Webster]

WordNet (r) 3.0 (2006):

begrudge
    v 1: be envious of; set one's heart on [syn: envy, begrudge]
    2: wish ill or allow unwillingly [syn: begrudge, resent]
       [ant: wish, wish well]

Moby Thesaurus II by Grady Ward, 1.0:

28 Moby Thesaurus words for "begrudge":
   balk at, be unwilling, cast envious eyes, close the hand, covet,
   deny, envy, famish, grudge, hold back, live upon nothing, mind,
   not care to, not feel like, object to, pinch, pinch pennies,
   refuse, resent, scamp, scant, screw, scrimp, skimp, starve, stint,
   withhold, would rather not