Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the problem of allocating a set of indivisible items to agents with additive utilities to maximize the Nash social lfare. Cole and Gkatzelis   [5]   recently proved that this problem admits a constant factor approximation.  complement their result by showing that this problem is APX-hard.
['Euiwoong Lee']
I am writing a research paper on a idea APX-Hardness of Maximizing Nash Social Welfare with Indivisible Items
[{"from": "human", "value": "I am writing a research paper on a idea APX-Hardness of Maximizing Nash Social Welfare with Indivisible Items"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the problem of allocating a set of indivisible items to agents with additive utilities to maximize the Nash social lfare. Cole and Gkatzelis   [5]   recently proved that this problem admits a constant factor approximation.  complement their result by showing that this problem is APX-hard."}]