The Algorithmic Revolution in the Social Sciences: Mathematical economics, game theory and statistics K. Vela Velupillai

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.

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