Mostly summarized from Gregory Mankiw’s Principles of Economics, 5th Ed.
PART 7 Topics for Further Study
Chapter 21 of 36 The Theory of Consumer Choice
Section 8 of 26

Figure 4 – Bowed Indifference Curves
Indifference curves are bowed inward.
This shape shows the marginal rate of substitution (MRS) depends on the quantity of the two goods the consumer is currently consuming.

Here we consider four properties of most indifference curves.
Property 1 – higher (further right) indifference curves are preferred to lower ones
Property 2 - indifference curves are downward sloping
Property 3 - indifference curves do not cross
Property 4 - indifference curves are bowed inward

Property 4 - indifference curves are bowed inward
The slope of an indifference curve is the marginal rate of substitution (MRS).
This is the rate at which the consumer is willing to trade one good for the other.
The MRS depends on the amount of each good the consumer is currently consuming.

On Figure 4 at point A the consumer has much Pepsi and little pizza.
He is very hungry but not very thirsty.
To induce him to give up 1 pizza, he has to be given 6 pints of Pepsi.
Here the MRS is 6 pints of Pepsi per pizza.

At point B the consumer has little Pepsi and much pizza
He is very thirsty but not very hungry.
To induce him to give up 1 pizza, he has to be given 1 pint of Pepsi.
Here the MRS is 1 pint of Pepsi per 1 pizza.

The inward-bowed shape of the indifference curve reflects the consumer’s
· greater willingness to give up a good he now has in large quantity
· lesser willingness to give up a good he now has in small quantity
… …
he is very thirsty but not very hungry
kare wa totemo nodo ga kawaite iru ga amari onaka wa suite inai
after all, for Google Translate to pronounce correctly need the kanji-kana version…
彼はとても喉が渇いているが、あまりお腹が空いていない

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