Convex Programming for The New Palgrave Dictionary of Economics, 2nd ed

نویسنده

  • Lawrence E. Blume
چکیده

Firms maximize profits and consumers maximize preferences. This is the core of microeconomics, and under conventional assumptions about decreasing returns it is an application of convex programming. The paradigm of convex optimization, however, runs even deeper through economic analysis. The idea that competitive markets perform well, which dates back at least to Adam Smith, has been interpreted since the neoclassical revolution as a variety of conjugate duality for the primal optimization problem of finding Pareto-optimal allocations. The purpose of this entry and the companion entry on DUALITY is (in part) to explain this sentence. This entry surveys without proof the basic mathematics of convex sets and convex optimization with an eye towards their application to microeconomic and general equilibrium theory, some of which can be found under DUALITY.

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تاریخ انتشار 2007