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Cell[CellGroupData[{
Cell["Deriving the leisure demand curve: the backward-bending case", "Section"],

Cell[TextData[{
  "This animation shows the derivation of the leisure demand curve for a \
person in a two-good world. The person gets satisfaction from two composite \
goods: leisure (R) and consumption (C). Assuming the price of consumption is \
p = 1.0 and the endowment of income is M, the consumer has an initial \
endowment of consumption of ",
  Cell[BoxData[
      \(TraditionalForm\`C\&_\)]],
  " = M/p . The endowment of leisure is ",
  Cell[BoxData[
      \(TraditionalForm\`R\&_\)]],
  ".  Since it is always possible for the consumer to just consume at the \
endowment point, the budget line pivots through the endowment point, (",
  Cell[BoxData[
      \(TraditionalForm\`R\&_\)]],
  ",",
  Cell[BoxData[
      \(TraditionalForm\`\(\ C\&_\)\)]],
  "). Since it is impossible to consume more than the initial endowment of \
leisure, this is a problem of consumer choice with a rationing constraitnt; \
that is, the portion of the budget line to the right of R = ",
  Cell[BoxData[
      \(TraditionalForm\`R\&_\)]],
  " is unavailable to the consumer. As the wage rate increases the buget \
line, which has a slope of  -(w+1), becomes steeper.  The leisure demand \
curve is obtained in the lower quadrant by combining the optimal leisure \
choice wage rate.\n\nIt is natural to assume leisure is a normal good. Since \
the rationing constraint inplicit in the leisure-consumption choice problem \
forces the consumer to be a net seller of leisure, the income effect will \
always be the opposite sign of the substitution effect. The case depicted in \
this animation is the one in which the income effect eventually dominates the \
substitution effect, with the result that the leisure demand curve bends back \
on itself."
}], "Text"],

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