Gross substitutes explained

The term gross substitutes is used in two slightly different meanings:

  1. In microeconomics, two commodities

X

and

Y

are called gross substitutes, if
\Deltademand(X)
\Deltaprice(Y)

>0

. I.e., an increase in the price of one commodity causes people to want strictly more of the other commodity, since the commodities can substitute each other (bus and taxi are a common example).
  1. In auction theory and competitive equilibrium theory, a valuation function is said to have the gross substitutes (GS) property if for all pairs of commodities:
\Deltademand(X)
\Deltaprice(Y)

\geq0

. I.e., the definition includes both substitute goods and independent goods, and only rules out complementary goods. See Gross substitutes (indivisible items)