Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present the first analysis of Fisher markets with buyers that have budget-additive utility functions. Budget-additive utilities are elementary concave functions with numerous applications in online adword markets and revenue optimization problems. They extend the standard case of linear utilities and have been studied in a variety of other market models. In contrast to the frequently studied CES utilities, they have a global satiation point which can imply multiple market equilibria with quite different characteristics. Our main result is an efficient combinatorial algorithm to compute a market equilibrium with a Pareto-optimal allocation of goods. It relies on a new descending-price approach and, as a special case, also implies a novel combinatorial algorithm for computing a market equilibrium in linear Fisher markets.  complement this positive result with a number of hardness results for related computational questions.  prove that it isNP-hard to compute a market equilibrium that maximizes social lfare, and it is PPAD-hard to find any market equilibrium with utility functions with separate satiation points for each buyer and each good.
['Xiaohui Bei', 'Jugal Garg', 'Martin Hoefer', 'Kurt Mehlhorn']
I am writing a research paper on a idea Computing Equilibria in Markets with Budget-Additive Utilities
[{"from": "human", "value": "I am writing a research paper on a idea Computing Equilibria in Markets with Budget-Additive Utilities"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present the first analysis of Fisher markets with buyers that have budget-additive utility functions. Budget-additive utilities are elementary concave functions with numerous applications in online adword markets and revenue optimization problems. They extend the standard case of linear utilities and have been studied in a variety of other market models. In contrast to the frequently studied CES utilities, they have a global satiation point which can imply multiple market equilibria with quite different characteristics. Our main result is an efficient combinatorial algorithm to compute a market equilibrium with a Pareto-optimal allocation of goods. It relies on a new descending-price approach and, as a special case, also implies a novel combinatorial algorithm for computing a market equilibrium in linear Fisher markets.  complement this positive result with a number of hardness results for related computational questions.  prove that it isNP-hard to compute a market equilibrium that maximizes social lfare, and it is PPAD-hard to find any market equilibrium with utility functions with separate satiation points for each buyer and each good."}]