Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Stable matchings are the primary solution concept for two-sided matching markets with nontransferable utility.  investigate the strategic foundations of stability in a decentralized matching market. Towards this end,  embed the standard marriage markets in a search model with random meetings.  study the limit of steady-state equilibria as exogenous frictions vanish. The main result is that convergence of equilibrium matchings to stable matchings is guaranteed if and only if there is a unique stable matching in the underlying marriage market. Whenever there are multiple stable matchings, sequences of equilibrium matchings converging to unstable, inefficient matchings can be constructed. Thus, vanishing frictions do not guarantee the stability and efficiency of decentralized marriage markets.
['Stephan Lauermann', 'George Nöldeke']
I am writing a research paper on a idea Stable marriages and search frictions
[{"from": "human", "value": "I am writing a research paper on a idea Stable marriages and search frictions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Stable matchings are the primary solution concept for two-sided matching markets with nontransferable utility.  investigate the strategic foundations of stability in a decentralized matching market. Towards this end,  embed the standard marriage markets in a search model with random meetings.  study the limit of steady-state equilibria as exogenous frictions vanish. The main result is that convergence of equilibrium matchings to stable matchings is guaranteed if and only if there is a unique stable matching in the underlying marriage market. Whenever there are multiple stable matchings, sequences of equilibrium matchings converging to unstable, inefficient matchings can be constructed. Thus, vanishing frictions do not guarantee the stability and efficiency of decentralized marriage markets."}]