
arXiv: 2310.03692
In markets with budget‐constrained buyers, competitive equilibria need not be efficient in the utilitarian sense or maximize the seller's revenue. We consider a setting with multiple divisible goods. Competitive equilibrium outcomes, and only those, are constrained utilitarian efficient, a notion of utilitarian efficiency that respects buyers' demands and budgets. Our main contribution establishes that when buyers have linear valuations, competitive equilibrium prices are unique and revenue‐optimal for a zero‐cost seller.
FOS: Computer and information sciences, market design, Competitive equilibrium, budget constraints, Fisher markets, product-mix auctions, FOS: Economics and business, revenue maximisation, efficiency, Computer Science - Computer Science and Game Theory, product-mix auction, [INFO.INFO-GT] Computer Science [cs]/Computer Science and Game Theory [cs.GT], Economics - Theoretical Economics, Theoretical Economics (econ.TH), arctic auction, revenue maximization, [SHS.ECO] Humanities and Social Sciences/Economics and Finance, Arctic auction, competitive equilibrium, Computer Science and Game Theory (cs.GT)
FOS: Computer and information sciences, market design, Competitive equilibrium, budget constraints, Fisher markets, product-mix auctions, FOS: Economics and business, revenue maximisation, efficiency, Computer Science - Computer Science and Game Theory, product-mix auction, [INFO.INFO-GT] Computer Science [cs]/Computer Science and Game Theory [cs.GT], Economics - Theoretical Economics, Theoretical Economics (econ.TH), arctic auction, revenue maximization, [SHS.ECO] Humanities and Social Sciences/Economics and Finance, Arctic auction, competitive equilibrium, Computer Science and Game Theory (cs.GT)
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