Hahn's problem¶

Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.

Version: v1 · 2026-09-28 · History
Domain-specific #: 9791
Domain group: Social Sciences
Origin domain: Economics & Finance
Subdomains: Monetary Theory, General Equilibrium Theory → Economics & Finance

Core Idea¶

Hahn's problem is treated here as the recurring social_sciences_humanities_arts identity summarized by this source-grounded definition: Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.

Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.

For Hahn's problem, the abstraction is narrower than the article's general subject matter: a positive case must preserve Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. Retaining only the name, a familiar example, or a downstream effect is insufficient. The specialist roles and tests remain anchored in social_sciences_humanities_arts, which is why this identity is domain-specific rather than prime.

Structural Signature¶

Sig role-phrases:

Defining carrier — Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Constitutive relation — Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.
Operating condition — The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.
Recognition evidence — Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Admissible variation — Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.
Characteristic consequence — The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.
Failure boundary — Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.

What It Is Not¶

Not the whole field of social_sciences_humanities_arts. The node requires the specific identity stated by Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Not an over-broad reading. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Not an over-broad reading. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.
Not an over-broad reading. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.
Not automatically Hold-up Problem. Retrieval proximity does not establish equivalence; the two identities must be compared by carrier, operation, and failure boundary.

Scope of Application¶

Hahn's problem applies literally inside social_sciences_humanities_arts wherever the source-defined carrier and relation can be established. Its documented habitats include:

Documented setting. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.
Documented setting. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.
Documented setting. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Documented setting. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.
Documented setting. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.
Documented setting. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.

Outside social_sciences_humanities_arts, the name should be retained only when these same operational conditions survive; otherwise the comparison belongs to the broader parent Theory or should be marked as analogy.

Clarity¶

A clear use of Hahn's problem names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. The strongest recognition evidence in the frozen account is: Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. A report should distinguish that evidence from a proxy, consequence, or common implementation. It should also state the qualification Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. so that a reader can reproduce the classification rather than infer it from topical resemblance.

Manages Complexity¶

Hahn's problem compresses multiple social_sciences_humanities_arts details into a stable diagnostic relation. The source shows both the central mechanism—money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.—and the practical consequence—the problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function. This compression makes cases comparable while leaving parameters, conventions, exceptions, and evidential quality explicit. It is lossy by design: local history and implementation details may be omitted only when they do not alter the defining relation.

Abstract Reasoning¶

Type the carrier. Identify the social_sciences_humanities_arts entities to which the claim applies.
State the relation. Use the source-grounded identity: Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Check operation and conditions. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.
Demand recognition evidence. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.
Test variation. Change an implementation or setting while preserving money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.
Run the collapse test. Remove the defining operation; if the label still seems equally apt, only a topic or correlate was retained.
Reduce cautiously. When the specialist conditions cannot be carried, route the residual comparison to Theory.

Knowledge Transfer¶

Within the home domain. Knowledge about Hahn's problem transfers literally when a new case preserves the same carrier type, relation, and recognition test. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function.

Beyond the home domain. No canonical parent is asserted for Hahn's problem. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.

Examples¶

Canonical¶

Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. This case is canonical because it supplies a concrete carrier and lets the defining relation be checked rather than merely named.

Mapped back: carrier → the entities in the documented case; operation → Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value; recognition evidence → Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value

Applied / In Practice¶

Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. The applied case shows how the identity is used under a second setting or qualification while keeping the same operative relation.

Mapped back: changed setting → the applied context; invariant → Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value; boundary → the case exits the class when hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value

Structural Tensions¶

T1 — Stable identity versus admissible variation. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Which changes preserve the defining relation, and which replace it?

T2 — Recognition versus proxy. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the cited evidence establish the identity or only a correlated sign?

T3 — Definition versus implementation. The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Is the observed implementation constitutive, optional, or merely common?

T4 — Scope versus overextension. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Can every claimed application fill the same typed roles without metaphor?

T5 — Transfer versus domain accent. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the receiving case instantiate Hahn's problem literally, co-instantiate Theory, or only resemble it?

T6 — Autonomy versus reduction. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: What does Hahn's problem distinguish that the broader parent Theory leaves together?

Structural–Framed Character¶

Hahn's problem is mixed or framed-leaning. Its structural side is the repeatable organization summarized by Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. Its framed side is the social_sciences_humanities_arts vocabulary that fixes the carrier, evidence, exceptions, and admissible transformations.

Evaluative weight: the identity can be stated descriptively even when applications carry practical stakes. Human-practice dependence: the source-grounded carrier determines whether the relation exists independently or is constituted by a practice. Institutional origin: disciplinary conventions stabilize the name and test. Vocabulary portability: The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function. Import versus recognition: literal transfer requires the same mechanism; shape alone is analogy.

Its portable skeleton is Theory. Its character: a recurring specialist identity whose thin organization can be abstracted, while its operational meaning remains domain-bound.

Structural Core vs. Domain Accent¶

What is skeletal. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. The stable skeleton is the typed relation expressed in that definition and the entry's recognition and collapse tests. The source identifies these operative conditions: Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. It further constrains recognition and variation through: The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function. Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value.

What is domain-bound. social sciences humanities arts supplies the operative entities, technical vocabulary, warrants, and exceptions that make Hahn's problem literal. Its documented scope includes the condition that Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good. Another bounded application condition is that The problem is named after the British economist Frank Hahn, who outlined it in his critique of Don Patinkin's placing money inside the utility function. These are not decorative examples; they determine which carrier and evidence can fill the abstraction's roles.

Why no parent is asserted. Removing those specialist details does not currently yield one live catalog node that is a necessary genus for every instance. The entry is therefore approved as unparented rather than attached by topical resemblance. Its collapse evidence remains specific—Money, since it is intrinsically worthless and is not demanded for its own sake, may not be made to enter the utility function and be present like any other good.—and future graph densification may discover a defensible relation only if it preserves that boundary.

This entry presupposes Equilibrium.

Approved unparented node. No current live node supplies a defensible necessary genus or structural prerequisite for Hahn's problem. The reviewed identity is: Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value. The accelerated suggestion was declined because topical or lexical similarity does not establish hierarchy; the node is admitted without a parent pending later graph densification.
Related reasoning operations. Evidence, representation, comparison, classification, transformation, or evaluation may participate in particular cases, but participation does not make any one of them a necessary parent of every instance.

Relationships to Other Abstractions¶

Current abstraction Hahn's problem Domain-specific

Parents (1) — more general patterns this builds on

Hahn's problem presupposes Equilibrium Prime

Hahn's problem asks how money can have positive value in a general-equilibrium model without entering preferences.

Hierarchy path (1) — routes to 1 parentless root

Hahn's problem → Equilibrium → Fixed Point

Neighborhood in Abstraction Space¶

Hahn's problem sits in a sparse region of the domain-specific corpus (74^th percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.

Family — Microeconomic Theory & Welfare Criteria (13 abstractions)

Nearest neighbors

Wicksell's theory of capital — 0.84
Elasticity of intertemporal substitution — 0.83
Merton's portfolio problem — 0.83
Control-Lyapunov function — 0.83
Composite Good — 0.83

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

Not to Be Confused With¶

Theory. The parent omits the specialist differentia. Tell: Can the case establish Hahn's problem (or Hahn's question) refers to the theoretical challenge of building general equilibrium models where money does not enter preferences, yet has a positive equilibrium value?
Hold-up Problem. Explain why parties who would both gain from a relationship-specific asset fail to build it: once the investment is sunk the counterparty can renegotiate against the exposed investor, and it is the anticipation of that squeeze — not the squeeze itself — that quietly distorts investment beforehand. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Non-convexity (economics). An economic setting in which preferences, technologies or feasible sets violate convexity, allowing indivisibilities, increasing returns and multiple or unsupported competitive outcomes. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Merton's portfolio problem. Merton's portfolio problem is a problem in continuous-time finance and in particular intertemporal portfolio choice. An investor must choose how much to consume and must allocate their wealth between stocks and a risk-free asset so as to maximize expected utility. The problem was formulated and solved by Robert C. Merton in 1969 both for finite lifetimes and for the infinite case. Research has continued to extend and generalize the model to include factors like transaction costs and bankruptcy. Tell: Which entry's carrier, operation, and failure condition are satisfied?
A measurement, proxy, or consequence. Those may provide evidence without being the identity. Tell: Would Hahn's problem remain present if the detector or downstream effect changed?
A metaphorical analogue. A similar shape outside social_sciences_humanities_arts lacks the specialist mechanism. Tell: Do the native roles transfer literally, or only the parent Theory?

References¶

Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Hahn%27s_problem (revision 1360047194).

The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.