Before revision:  We introduce a new concept of pareto optimality, and study the generalized version of the problem from the perspective of Parameterized Complexity . Here, we consider several natural parameters such as the number of layers,  number of agents,  number of items, and maximal length of a preference list ;
After revision:  We introduce a new concept of pareto optimality, and study the generalized version of the problem from the perspective of Parameterized Complexity : we consider several natural parameters such as the number of layers, number of agents, number of items, and maximal length of a preference list ;