Thank you for your interesting explanation. That reminds me of the deferred acceptance algorithm https://en.wikipedia.org/wiki/Gale%E2%80%93Shapley_algorithm ht

Thank you for your interesting explanation. That reminds me of the deferred acceptance algorithm https://en.wikipedia.org/wiki/Gale%E2%80%93Shapley_algorithm https://en.wikipedia.org/wiki/Gale%E2%80%93Shapley_algorithm