reciprocity
noun
rec·i·proc·i·ty
ˌre-sə-ˈprä-s(ə-)tē
plural reciprocities
1
: the quality or state of being reciprocal : mutual dependence, action, or influence
… says his study is the first to look at reciprocity between humans and dogs.—Shi En Kim
… there was ever a second silent conversation passing between their emotions, so perfect was the reciprocity between them.—Thomas Hardy
2
: a mutual exchange of privileges
specifically
: a recognition by one of two countries, states, or institutions of the validity of licenses or privileges granted by the other
Some areas with a lot of commuters who cross state lines have reciprocity agreements. —Michelle Singletary
There are about 37 states that grant reciprocity, though the rules are different in each one. —Paul Bedard
Love words? Need even more definitions?
Merriam-Webster unabridged



