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Monetary circulation regularity

Gresham's Law

When two monies must trade at a fixed legal ratio that misprices their market values, the overvalued money tends to circulate while the undervalued money is retained, melted, or exported.

Scientific statusConditional empirical regularity
Predictive formSelection under mispricing
DomainCommodity + multiple money
EvidenceHistorical episodes
Key limitationRequires constrained exchange
Common misuseInferior money always wins
INTERACTIVE MODEL

Legal ratio != market ratio -> selective circulation

The popular phrase "bad money drives out good" needs its missing condition: enforced exchange at par or another fixed ratio. "Good" means undervalued at the official rate, not morally superior.

Both coins are assumed to discharge the same nominal debt. The slider shows the extra market value surrendered when the undervalued coin is spent at the official one-for-one rate.

15.0Value sacrificed by spending it
(%)
0 %40 %
FORMULA IN MOTIONcirculating money -> retained money
circulating moneyretained money
CHANGE
Market premium of undervalued coin
WATCH
retained money
MEANING
Both coins are assumed to discharge the same nominal debt. The slider shows the extra market value surrendered when the undervalued coin is spent at the official one-for-one rate.
VISUAL MODEL

Spend the overvalued; keep the undervalued.

As the market premium grows, coral coins remain in the circulation channel while acid coins migrate toward reserve, export, or melting. Remove the fixed ratio and the effect can reverse.

official paritycirculationretention / export
01 / MEANING

What it actually says

Gresham's Law is often compressed beyond recognition. The classic mechanism appears when authorities require two coins or monies to settle debts at a fixed ratio while markets value them differently. Rational holders tender the officially overvalued money and preserve the officially undervalued one.

The "good" money has more value outside the compelled transaction: as metal, abroad, or in future exchange. The "bad" money is not necessarily counterfeit or useless; it is the money whose legal purchasing power exceeds its alternative market value.

Compact formLegal ratio != market ratio -> selective circulation
Best interpretationCommodity + multiple money evidence in markets.
Important cautionRequires constrained exchange.
"A useful law compresses a pattern. It does not erase the conditions that make the pattern true."
02 / ORIGIN

How the idea developed

The modern form emerged through observation, argument, and later refinement. The timeline separates the first insight from the version now used in textbooks and practice.[1]

Ancient worldAncient world

Aristophanes and later writers observe that inferior coin can dominate circulation.

1520s1520s

Nicolaus Copernicus describes how debased coinage displaces better coin.

1550s1550s

Thomas Gresham advises the English crown about debasement and the disappearance of full-bodied coin.

1857-601857-60

Henry Dunning Macleod popularizes the name "Gresham's Law," long after the principle was known.

Historical cautionEponymous laws often change after their first publication. Popular wording may be broader and cleaner than the original evidence.
03 / MECHANISM

How the pattern works

The relation becomes useful only when its mechanism, measurement process, and operating range are visible.

01Official equivalence

Law or convention lets different monies settle the same nominal obligation at a fixed rate.

02Market divergence

Metal content, convertibility, credibility, or external exchange gives one money a higher alternative value.

03Holder selection

People choose the cheaper money for payment and reserve the more valuable money.

04Exit routes

Undervalued money may be hoarded, melted, exported, or sold at a premium rather than literally vanish.

MODELLegal ratio != market ratio -> selective circulation

The popular phrase "bad money drives out good" needs its missing condition: enforced exchange at par or another fixed ratio. "Good" means undervalued at the official rate, not morally superior.

04 / APPLICATIONS

Where it earns its keep

Applications are strongest when the law changes a decision, measurement, model, or experiment rather than merely providing an analogy.

COINAGE

Understand disappearance from circulation

Application

When bullion value exceeds face value, older or higher-content coins are selectively removed.

PROFESSIONAL NOTE

Compare legal tender value, metal value, transaction cost, and enforcement.

BIMETALLISM

Trace pressure under a fixed mint ratio

Application

A gold-silver mint ratio can misprice one metal as world prices change.

PROFESSIONAL NOTE

The direction can switch when the market ratio crosses the official ratio.

CURRENCY CRISIS

Know when the reverse can occur

Application

Without effective parity enforcement, people may reject weak currency and quote prices in stronger money.

PROFESSIONAL NOTE

That "good drives out bad" pattern is often called Thiers' Law.

05 / LIMITS & MISUSE

Where it stops working

The law can fail when exchange rates float, sellers discriminate between monies, the premium is smaller than transaction costs, enforcement is weak, denominations have different usefulness, or the currencies are not close substitutes.

Historical evidence is more nuanced than the slogan. Rolnick and Weber argue that denomination and transaction costs explain important episodes better than a universal disappearance of good money.

Misuse

"Bad products always drive out good products"

Better: The monetary result depends on compelled equivalence; it is not a general quality law.
Misuse

"Fiat money automatically drives out gold"

Better: The relevant question is whether they must exchange at a mispriced fixed ratio.
Misuse

"Good money disappears completely"

Better: It may leave ordinary circulation while remaining hoarded, exported, or traded at a premium.
Misuse

"Gresham invented the law"

Better: The observation predates him by centuries; the eponym came later.
07 / REFERENCES

Sources and further reading

Original publications and serious secondary scholarship are prioritized over summaries.

  1. Rolnick and Weber - Gresham's Law or Gresham's Fallacy?Federal Reserve research challenging the slogan with historical evidence and transaction costs.https://www.minneapolisfed.org/research/staff-reports/greshams-law-or-greshams-fallacy
  2. Selgin - Gresham's LawCareful statement of the fixed-rate condition, historical lineage, and reverse cases.https://www.econlib.org/library/Enc/GreshamsLaw.html
  3. Greenfield and Rockoff - Gresham's Law in Nineteenth-Century AmericaHistorical analysis of when undervalued money can continue circulating at a premium.https://www.nber.org/papers/h0035
  4. Fetter - Some Neglected Aspects of Gresham's LawClassic scholarly treatment of conditions and ambiguities in the law.https://www.jstor.org/stable/1811663
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