Webster's English Dictionary

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reciprocity

rec.i.proc.i.ty \.res-*-'pra:s-*t-e-, -'pra:s-te-\ n 1: the quality or 
   state of being reciprocal  2: a mutual exchange of privileges; specif : a 
   recognition by one o f two countries or institutions of the validity of 
   licenses or privileges granted by the other