Both Herod and Jesus:
- are confronted with a crowd of people
- have requests lodged at them
- make a promise to the people
- order something to be "brought" "here" in their response to the request
- hear about each other.
The great difference, of course, is that Herod was self-serving (didn't want to disappoint his guests, so he murdered), Jesus was other-serving. Herod was inspired by the allure of a dancing female; Jesus was inspired by the desperate need of the people. Herod brought death; Jesus brought life.