Gale-Shapley algorithm
https://www.nature.com/articles/nature.2012.11607
I’ve chosen article at Nature about Gale-Shapley algorithm which is used for designing markets for money free transactions. In the core one person is asked to choose most appealing money-free transaction, and if they’re rejected their next best choice, repeating iterations of this process until everyone finds accepted transaction. One example that article provides is marriage. What I also found interesting that this Algorithm is used in dating apps such as Hinge, which tries to find a best match between two people.
This relates to matching problems covered in class, as it involves finding a perfect matching. In dating apps such as hinge, or in finding best match in money-free transactions that also connects to maximizing welfare, or in some cases maximizing baseline in a perfect match.