When have means arrange for or cause a person to do something, Cambridge documents have + object + bare infinitive. A following to-infinitive can occur in other have constructions, but it is not the ordinary causative complement after the person object.
ReviewedEvidence1 sourceSectionEnglish Usage
Quick answer
For the causative meaning, use “have someone do something,” not “have someone to do something.”
Key details
Confusion Familygrammar-and-usage distinction
Rule Familyverb-complement and object pattern
TermsHave Someone Do, Have Someone To Do
Further guidance
Boundary
Do not treat every surface sequence “have someone to …” as the same construction; for example, have visitors to stay has a different structure and meaning.
Construction
Cambridge lists have + object + infinitive without “to” for causing someone to act.
Decision
Use have + person + bare infinitive when you mean arrange for or cause that person to perform the action.
Sources and evidence
Sources are shown with the role they play in this guide. Historical or style-sensitive claims are kept within the evidence boundary described above.
Oxford directly documents “argue somebody into doing something” for persuading somebody by giving reasons. The cited construction evidence directly supports into + -ing; it does not license “argue someone to do” as an equivalent complement pattern.
When ask means request an action from a person, Cambridge documents ask + person + to-infinitive. Bare “ask doing” is not the ordinary request complement for that meaning.
Cambridge directly documents both badger + object + into + -ing and badger + object + to-infinitive for repeated pressure or requests that push someone toward an action. The verb also covers repeated questioning, so context must show whether the sentence is about persistent persuasion or interrogation rather than assuming every use names a requested action.
Cambridge directly illustrates bamboozle + object + into + -ing for deceiving someone so that the person takes an action. The cited entry does not establish bamboozle + object + to-infinitive as an equally documented alternative, so this guide does not manufacture a two-way rule.
Cambridge explicitly documents beg + object + to-infinitive for an urgent request and also records beg for + noun and other request patterns. A following -ing form may appear elsewhere in a sentence, but it is not the ordinary replacement for the documented object + to-infinitive request construction.
Cambridge gives direct evidence for beguile someone into doing something in the literary persuade/attract/deceive sense. The cited entry supports the into + -ing construction; it does not establish beguile + object + to-infinitive as an equivalent pattern for this meaning.