We compute the lattice operations for the (pairwise) stable set in many-to-many matching markets where only path-independence on agents' choice functions is imposed. To do this, we construct Tarski operators defined on the lattices of worker-quasi-stable and firm-quasi-stable matchings. These operators resemble lay-off and vacancy chain dynamics, respectively.

翻译：本文计算了仅施加代理人选择函数路径独立性条件下的多对多匹配市场中（成对）稳定集上的格运算。为实现这一目标，我们构建了定义在工人准稳定匹配与厂商准稳定匹配格上的Tarski算子。这些算子分别模拟了裁员动态与职位链动态。