Ibn Umar (Allah be pleased with them) said that Messenger of Allah ﷺ prohibited Shighar which means that a man gives his daughter in marriage on the condition that the other gives his daughter to him in marriage with- out any dower being paid by either.
أَنَّ رَسُولَ اللَّهِ ﷺ نَهَى عَنِ الشِّغَارِ وَالشِّغَارُ أَنْ يُزَوِّجَ الرَّجُلُ ابْنَتَهُ عَلَى أَنْ يُزَوِّجَهُ ابْنَتَهُ وَلَيْسَ بَيْنَهُمَا صَدَاقٌ