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Algorithmic
mathematics in its alternate forms, considered
to be the basis of the digital and information
technology revolutions have a noble pedigree
even in economics. In fact, constructive
mathematics of any variety, computability
theory and non-standard analysis are intrinsically
algorithmic at their foundations. Recent
advances in mathematical economics, game
theory, probability theory and statistics
suggest that an algorithmic revolution
in the social sciences is in the making.
The author tries to trace the origins
of the emergence of this revolution and
suggests, via examples in mathematical
economics, game theory and the foundations
of statistics, where the common elements
are and how they may define new frontiers
of research and visions.
August
18,
2009. |