Paradox & Proof Entry #0165 Classified Declassified

Why a market can be efficient and wrong at once

Efficiency means a price has absorbed the available information. It says nothing about whether that information was complete, and the two are often confused.

No visual record attached The written record below is complete.
Plate 291 — The information that was never gathered

Intuition test — answer before you read on

How can a price be efficient in the technical sense and still be a poor estimate?

A price that reflects everything currently known is described as efficient. This is a claim about the speed with which information travels, not about the accuracy of the resulting number. If what is known is thin or mistaken, the price can be simultaneously efficient in the technical sense and a poor estimate of the underlying situation.

What everyone sees

Efficiency is popularly read as correctness, so a market price is treated as a verdict. The technical definition is narrower: it says that publicly available information is already incorporated, so it cannot be used to obtain a predictable advantage. Correctness would additionally require that the available information be adequate, which is a separate question the definition does not address.

What is actually happening

Grossman and Stiglitz showed that a fully informationally efficient market is not coherent as an equilibrium, because if prices revealed everything, nobody would be paid for gathering information and the gathering would stop. Efficiency must therefore be partial, sustained by participants who are compensated for producing information not yet in the price. Shleifer and Vishny added the constraint on correction: even a participant who identifies a mispricing faces limits — finite capital, horizons and the risk that the gap widens first — so the mechanism that removes errors is bounded. Both results describe the same structure. Prices aggregate beliefs efficiently and beliefs are not facts. This is a description of an information mechanism, not guidance about any market.

Why it stays hidden

The confusion survives because the word efficient carries an ordinary meaning of working well. A term defined narrowly for information incorporation is heard as a general endorsement, and the endorsement then does argumentative work its definition cannot support. The gap only becomes visible after a revision, when it is attributed to new information rather than to information that had been absent all along.

Efficiency describes how fast information reaches a price. It makes no claim about how good that information was.

Efficiency describes how fast information reaches a price. It makes no claim about how good that information was.

The hidden part — entry #0165

Collect this card

Efficiency describes how fast information reaches a price. It makes no claim about how good that information was.

0 / 10,000 collected

Sources & further reading 2
  1. Grossman & Stiglitz — on the impossibility of informationally efficient markets
  2. Shleifer & Vishny — the limits of arbitrage

Circulate this file

Annotations are reserved for archive members.

Sign in to annotate