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Equation 17 · Part 2 · When Generation Becomes Free, Attention Becomes the Scarce Good

Symbol E

p∗  =  E[ v(q)  ∣  c(q)≤p∗ ],p^{*} \;=\; \mathbb{E}\big[\, v(q) \;\big|\; c(q) \le p^{*} \,\big],
E\mathbb{E}

What this part means

The expected value operator: the probability-weighted average of the quantity inside its brackets.

Its job in the formula

E is one factor in the product that computes the quantity on the left.

The passage around this formula

Akerlof supplied the canonical model of a market in that condition. Where sellers know quality and buyers do not, buyers can rationally offer only the expected value of what is on offer; sellers whose goods are worth more than that price withdraw; the expected quality of what remains falls; the price falls again. The equilibrium is a fixed point of the form p∗  =  E[ v(q)  ∣  c(q)≤p∗ ]p^{*} \;=\; \mathbb{E}\big[\, v(q) \;\big|\; c(q) \le p^{*} \,\big]. where v(q) is the buyer’s value of quality q and c(q) the seller’s reservation value. Only sellers whose reservation value lies below the prevailing price participate, and the price is the expectation over exactly that self-selected pool [ 2 ] .

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Learn the underlying idea

Probability assigns a number from 0 to 1 to an event under a stated model. Zero means impossible within that model; one means certain.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.