The Collaborative International Dictionary of English v.0.48:

Budge \Budge\ (b[u^]j), v. i. [imp. & p. p. Budged (b[u^]jd);
   p. pr. & vb. n. Budging.] [F. bouger to stir, move (akin to
   Pr. bojar, bolegar, to stir, move, It. bulicare to boil,
   bubble), fr. L. bullire. See Boil, v. i.]
   To move off; to stir; to walk away.
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         I'll not budge an inch, boy.             --Shak.
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         The mouse ne'er shunned the cat as they did budge
         From rascals worse than they.            --Shak.
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