WordNet sense 1 (have as a guest):

pay for

WordNet sense 2 (invite someone to one's house):

ask over, ask round

WordNet sense 3 (give rise to a desire by being attractive or inviting):

tempt

WordNet sense 4 (increase the likelihood of):

ask for

WordNet sense 5 (express willingness to have in one's home or environs):

receive, take in

WordNet sense 6 (ask to enter):

ask in

WordNet sense 7 (request the participation or presence of):

call for

WordNet sense 8 (ask someone in a friendly way to do something):

bid