Shared ground
Jesus portrays “this generation” as hard to satisfy. The picture is of children in a public place who complain no matter which “game” is offered—celebration music or mourning scenes. The point is then applied to reactions toward two very different messengers: John the Baptist and “the Son of Man.” John’s strict way of life is treated as evidence against him (“He has a demon”), while Jesus’ ordinary meals and table company are treated as evidence against him (“glutton,” “drunkard,” “friend of tax collectors and sinners”). The text’s explicit claim is that the criticism is inconsistent and resistant rather than responsive to the message.
The closing line (“wisdom is justified by her children”) functions as a verdict that wisdom’s rightness becomes visible in what it produces—either in outcomes or in people formed by it.
Where interpretation differs (only where needed)
Who the “children” represent in the illustration. Some read the complaining children as representing the critics: they are the ones making demands and rejecting both approaches. Others read the “children” as representing the messengers (John and Jesus) calling for an appropriate response, while the “companions” represent the public refusing both.
What “wisdom is justified by her children” most directly means. Some understand “children” mainly as results/outcomes (the fruit of wise action proves it right). Others understand “children” mainly as followers/disciples (the people who align with God’s wisdom demonstrate its rightness).
Why the disagreement exists
The short illustration does not map every detail with labels, so readers must decide how tightly to align each role (children, companions, flute, mourning) with either the critics or the messengers. Also, the final proverb-like sentence uses compressed language (“wisdom,” “justified,” “children”), which can naturally point either to observable outcomes or to the community produced by wisdom.
What this passage clearly contributes
It frames rejection of John and Jesus as a pattern of stubborn criticism that can always find a pretext—strictness is attacked, openness is attacked, and the real issue is deeper than lifestyle. It also supplies a test case for evaluating competing claims: the rightness of God’s wisdom is shown in what it brings about, rather than in the shifting accusations of detractors. See also Matthew 11:2–Matthew 11:24 for the wider context of mixed responses.