= Price quasi-equilibrium with transfers
{title2=$y\succ_a f(a)\Longrightarrow p\cdot y\geq p\cdot f(a)$}
= Price quasi-equilibrium
{synonym}
A <price quasi-equilibrium with transfers> is an exactly feasible <consumption allocation> $f$ and a nonzero price vector $p$ for which, almost everywhere, every strictly preferred bundle has cost at least $p\cdot f(a)$. The transfer-adjusted wealth is $p\cdot f(a)$; transfers $p\cdot(f(a)-\omega(a))$ sum to zero. Equal-cost strict improvements may remain, which distinguishes a quasi-equilibrium from a utility-maximizing equilibrium. Nonnegative prices need extra assumptions if goods may be undesirable.
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