The Collaborative International Dictionary of English v.0.48:

Indulgent \In*dul"gent\, a. [L. indulgens, -entis, p. pr. of
   indulgere: cf. F. indulgent. See Indulge.]
   Prone to indulge; yielding to the wishes, humor, or appetites
   of those under one's care; compliant; not opposing or
   restraining; tolerant; mild; favorable; not severe; as, an
   indulgent parent. --Shak.
   [1913 Webster]

         The indulgent censure of posterity.      --Waller.
   [1913 Webster]

         The feeble old, indulgent of their ease. --Dryden.
   [1913 Webster]

WordNet (r) 3.0 (2006):

indulgent
    adj 1: characterized by or given to yielding to the wishes of
           someone ; "indulgent grandparents" [ant: nonindulgent,
           strict]
    2: tolerant or lenient; "indulgent parents risk spoiling their
       children"; "too soft on the children"; "they are soft on
       crime" [syn: indulgent, lenient, soft]
    3: being favorably inclined; "an indulgent attitude"

Moby Thesaurus II by Grady Ward, 1.0:

104 Moby Thesaurus words for "indulgent":
   Spartan, accepting, accommodating, accommodative, admissive,
   affable, agreeable, allowing, amiable, armed with patience,
   attentive, benevolent, benign, benignant, bibulous, broad-minded,
   charitable, clement, complaisant, compliant, consenting,
   considerate, cosseting, crapulent, crapulous, decent, delicate,
   disciplined, easy, easygoing, endurant, enduring, excessive,
   excusing, extravagant, extreme, forbearant, forbearing, forgiving,
   freethinking, generous, gluttonous, gracious, heedful, helpful,
   immoderate, incontinent, inordinate, intemperate, kind, kindly,
   latitudinarian, lax, lenient, liberal, libertarian, libertine,
   long-suffering, longanimous, magnanimous, merciful, mindful,
   mindful of others, nonprohibitive, obliging, open-minded,
   overindulgent, overindulging, overpermissive, pampering, patient,
   patient as Job, permissive, permitting, persevering, philosophical,
   prodigal, regardful, relaxed, self-controlled, self-indulgent,
   solicitous, stoic, suffering, swinish, tactful, thoughtful,
   tolerant, tolerating, tolerative, too much, unbigoted, unbridled,
   unconstrained, uncontrolled, understanding, undisciplined,
   unfrugal, unlimited, unmeasured, unprohibitive, unrestrained,
   unthrifty, well-disposed