Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study the eciency of allocations in large markets with a network structure where every seller owns an edge in a graph and every buyer desires a path connecting some nodes. While it is known that stable allocations in such settings can be very inecient, the exact properties of equilibria in markets with multiple sellers are not fully understood even in single-source singlesink networks. In this work,  show that for a large class of natural buyer demand functions,  are guaranteed the existence of an equilibrium with several desirable properties. The crucial insight that  gain into the equilibrium structure allows us to obtain tight bounds on eciency in terms of the various parameters governing the market, especially the number of monopolies M. All of our eciency results extend to markets without the network structure. While it is known that monopolies can cause large ineciencies in general, our main results for single-source single-sink networks indicate that for several natural demand functions the eciency only drops linearly with
['Elliot Anshelevich', 'Shreyas Sekar']
I am writing a research paper on a idea Market price competition in networks: How do monopolies impact social welfare?
[{"from": "human", "value": "I am writing a research paper on a idea Market price competition in networks: How do monopolies impact social welfare?"}, {"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 eciency of allocations in large markets with a network structure where every seller owns an edge in a graph and every buyer desires a path connecting some nodes. While it is known that stable allocations in such settings can be very inecient, the exact properties of equilibria in markets with multiple sellers are not fully understood even in single-source singlesink networks. In this work,  show that for a large class of natural buyer demand functions,  are guaranteed the existence of an equilibrium with several desirable properties. The crucial insight that  gain into the equilibrium structure allows us to obtain tight bounds on eciency in terms of the various parameters governing the market, especially the number of monopolies M. All of our eciency results extend to markets without the network structure. While it is known that monopolies can cause large ineciencies in general, our main results for single-source single-sink networks indicate that for several natural demand functions the eciency only drops linearly with"}]