Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider problems where a solution is evaluated with a couple. Each coordinate of this couple represents the utility of an agent. Due to the possible conflicts, it is unlikely that one feasible solution is optimal for both agents. Then a natural aim is to find a tradeoff.  investigate tradeoff solutions with worst case guarantees for the agents. The focus is on discrete problems having a matroid structure and the utility of an agent is modeled with a function which is either additive or ighted labeled.  provide polynomial-time deterministic algorithms which achieve several guarantees and  prove that some guarantees are not possible to reach.
['Laurent Gourvès', 'Jérôme Monnot', 'Lydia Tlilane']
I am writing a research paper on a idea Approximate tradeoffs on weighted labeled matroids
[{"from": "human", "value": "I am writing a research paper on a idea Approximate tradeoffs on weighted labeled matroids"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider problems where a solution is evaluated with a couple. Each coordinate of this couple represents the utility of an agent. Due to the possible conflicts, it is unlikely that one feasible solution is optimal for both agents. Then a natural aim is to find a tradeoff.  investigate tradeoff solutions with worst case guarantees for the agents. The focus is on discrete problems having a matroid structure and the utility of an agent is modeled with a function which is either additive or ighted labeled.  provide polynomial-time deterministic algorithms which achieve several guarantees and  prove that some guarantees are not possible to reach."}]