The Collaborative International Dictionary of English v.0.48:

Cheapen \Cheap"en\, v. t. [imp. & p. p. Cheapened; p. pr. &
   vb. n. Cheapening.] [OE. cheapien, chepen, to trade, buy,
   sell, AS. ce['a]pian; akin to D. koopen to buy, G. kaufen,
   Icel. kaupa, Goth. kaup[=o]n to trade. Cf. Chap to
   bargain.]
   1. To ask the price of; to bid, bargain, or chaffer for.
      [Obsoles.]
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            Pretend to cheapen goods, but nothing buy. --Swift.
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   2. [Cf. Cheap, a.] To beat down the price of; to lessen the
      value of; to depreciate. --Pope.
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            My proffered love has cheapened me.   --Dryden.
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