(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1960655, 49399]*) (*NotebookOutlinePosition[ 1961512, 49428]*) (* CellTagsIndexPosition[ 1961468, 49424]*) (*WindowFrame->Normal*) Notebook[{ Cell["Indiffence Curves of the CES Utility Function", "Section"], Cell[TextData[{ "The CES utility function has the form: u(x,y) = ", Cell[BoxData[ \(TraditionalForm \`\((\[Alpha]\ x\^\(-\[Rho]\) + y\^\(-\[Rho]\)\ \((1 - \[Alpha])\)) \)\^\(\(-1\)/\[Rho]\)\)]], "; where 0 < \[Alpha] < 1 and -1 < \[Rho] . This animation shows what \ happens to the indifference map when \[Alpha] = 0.65 and \[Rho] varies \ between -1 and 10. 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