Mathematics for Economists

InÖnite cake eating problem

A+Blnw = ln



w βB

1 +Bβ

w



+β



A+Bln βB

1 +Bβ

w



A+Blnw = ln



w

1 +Bβ



+β



A+Bln

βB

1 +Bβw



A+Blnw = lnwln( 1 +Bβ)+βA+βBln βB

1 +Bβ

+βBlnw

A+Blnw = ln( 1 +Bβ)+βA+βBln

βB

1 +Bβ+(^1 +βB)lnw