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]