AbstractThis paper studies geometric properties of semi-algebraic economies with (eventually nonconvex) production - a class which includes linear or Cobb-Douglas preferences, polyhedric production sets and indivisible commodities as well. The main departure with the textbook differentiable viewpoint is that, here, preferences and production sets need not be smooth, even not continuous. Instead, they are semi-algebraic. The obtained results are analogous to those proven in the usual smooth case. Some consequences are also derived for strategic market games.
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Bibliographic InfoPaper provided by UniversitÃ© PanthÃ©on-Sorbonne (Paris 1) in its series Papiers d'Economie MathÃ©matique et Applications with number 97.84.
Length: 19 pages
Date of creation: 1997
Date of revision:
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- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
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