Budget-Feasible Mechanism¶

In mechanism design, a branch of economics, a budget-feasible mechanism is a mechanism in which the total payment made by the auctioneer is upper-bounded by a fixed pre-specified budget.

Version: v1 · 2026-09-28 · History
Domain-specific #: 8285
Domain group: Applied Sciences & Engineering
Origin domain: Computer Science & Software Engineering
Subdomain: Algorithmic Mechanism Design → Computer Science & Software Engineering

Core Idea¶

Budget-Feasible Mechanism is treated here as the recurring formal models and representations identity summarized by this source-grounded definition: In mechanism design, a branch of economics, a budget-feasible mechanism is a mechanism in which the total payment made by the auctioneer is upper-bounded by a fixed pre-specified budget. In mechanism design, a branch of economics, a budget-feasible mechanism is a mechanism in which the total payment made by the auctioneer is upper-bounded by a fixed pre-specified budget. They were first presented by Yaron Singer, and studied by several others.

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Never Spend Past Your Budget

Say you have ten dollars to hire kids to help clean up, and each kid wants a different amount. A budget-feasible mechanism is a set of rules for picking helpers and deciding how much to pay each one so that you never spend more than your ten dollars.

The Fixed-Budget Auction

In economics, a mechanism is a set of rules for deciding who wins and how much money changes hands, like in an auction. In a budget-feasible mechanism, the buyer running the auction has a fixed budget and the total paid out can never go over it. A typical example is a buyer who wants to purchase items or services from many sellers, each with one thing to sell. The rules must decide which sellers to buy from and how much to pay each one. This is harder than a normal auction, because the budget limit ties together who gets picked and how much they are paid.

Budget-Capped Procurement Mechanism

A budget-feasible mechanism is a mechanism, meaning an allocation rule plus a payment rule, in which the total payment made by the auctioneer is capped by a fixed budget set in advance. The idea was first presented by Yaron Singer and has been studied by others as part of algorithmic mechanism design. The usual setting is a procurement auction: a buyer with a strictly limited budget wants to buy from a set of sellers, each of whom owns one item or service. The mechanism has to choose which sellers to buy from and what to pay them while satisfying several desirable properties. This is much harder than designing unconstrained auctions such as those based on the VCG mechanism, because the budget constraint links the allocation rule and the payment rule together.

A budget-feasible mechanism is a mechanism in which the auctioneer's total payment is upper-bounded by a fixed, pre-specified budget. Introduced by Yaron Singer, budget-feasible mechanism design is a subfield of algorithmic mechanism design focused on procurement auctions where the buyer (auctioneer) has a strictly limited budget. In the typical setting there is a set N of sellers, each holding a single item or service, and the designer specifies an allocation rule and a payment rule that must jointly satisfy several key properties. The budget constraint couples the allocation and payment rules, which is why these mechanisms are substantially harder to design than unconstrained auctions such as those based on VCG. The defining property is the hard upper bound on total payment; a procurement auction that merely tends to spend little does not qualify.

Scope of Application¶

Model. The buyer has a valuation function v: 2^N \to \mathbb{R}{\geq 0} that assigns a value to every subset of sellers.
Foundational Developments. Singer demonstrated that for any submodular set function, i.e. valuation function where the marginal value of an item decreases as the set of items grows (the law of diminishing returns).
Foundational Developments. Subsequent work expanded these results to more complex valuation classes:Subadditive functions: Functions where the value of the union of two sets is no more than the sum of their individual.
Applications. Budget-feasible mechanisms are widely implemented in Crowdsourcing applications such as data labeling and data acquisition selecting data points to train AI models under a limited procurement budget.
Overview and Core Concepts. Budget-feasible mechanism design is a subfield of algorithmic mechanism design that focuses on procurement auctions where the auctioneer (buyer) has a strictly limited budget.

Clarity¶

A clear use of Budget-Feasible Mechanism names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is In mechanism design, a branch of economics, a budget-feasible mechanism is a mechanism in which the total payment made by the auctioneer is upper-bounded by a fixed pre-specified budget.

Manages Complexity¶

Budget-Feasible Mechanism compresses multiple formal models and representations details into a stable diagnostic relation. The source shows both the central mechanism—early results provided an O(\log^2 n) approximation, while more recent work has improved this to O(\log n) by connecting the problem to the integrality gap of linear programs and the approximate core in cooperative game theory.—and the practical consequence—budget-feasible mechanism design is a subfield.

Abstract Reasoning¶

Type the carrier. Identify the formal models and representations entities to which the claim applies.
State the relation. Use the source-grounded identity: In mechanism design, a branch of economics, a budget-feasible mechanism is a mechanism in which the total payment made by the auctioneer is upper-bounded by a fixed pre-specified budget.
Check operation and conditions. The field was initiated by Yaron Singer in 2010.
Demand recognition evidence.

Knowledge Transfer¶

Within the home domain. Knowledge about Budget-Feasible Mechanism transfers literally when a new case preserves the same carrier type, relation, and recognition test. The buyer has a valuation function v: 2^N \to \mathbb{R}{\geq 0} that assigns a value to every subset of sellers. Singer demonstrated that for any submodular set function, i.e. valuation function where the marginal value of an item decreases as the set of items grows (the law of diminishing returns), a constant-factor approximation mechanism exists and introduced the proportional share mechanism. Beyond the home.

Neighborhood in Abstraction Space¶

Budget-Feasible Mechanism sits in a moderately populated region (52^nd percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Microeconomic Theory & Welfare Criteria (13 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08