Interdisciplinarity in Socio-economics, mathematical analysis and predictability of complex systems

Abstract

In this essay, I attempt to provide supporting evidence as well as some balance for the thesis on `Transforming socio-economics with a new epistemology' presented by Hollingworth and Mueller (2008). First, I review a personal highlight of my own scientific path that illustrates the power of interdisciplinarity as well as unity of the mathematical description of natural and social processes. I also argue against the claim that complex systems are in general `not susceptible to mathematical analysis, but must be understood by letting them evolve over time or with simulation analysis'. Moreover, I present evidence of the limits of the claim that scientists working within Science II do not make predictions about the future because it is too complex. I stress the potentials for a third `Quantum Science' and its associated conceptual and philosophical revolutions, and finally point out some limits of the `new' theory of networks.

15 pages, reflections on the nature of interdisciplinarity and the contribution of physics to socio-economics

References in corpus (18)

• Robust dynamic classes revealed by measuring the response function of a social system
• A multifractal random walk
• Foreshocks Explained by Cascades of Triggered Seismicity
• Mainshocks are aftershocks of conditional foreshocks: How do foreshock statistical properties emerge from aftershock laws
• Endogenous Versus Exogenous Shocks in Complex Networks: an Empirical Test Using Book Sale Ranking
• Large Stock Market Price Drawdowns Are Outliers
• Predictability of large future changes in major financial indices
• Multifractal stationary random measures and multifractal random walks with log-infinitely divisible scaling laws
• The Dynamics of Book Sales: Endogenous versus Exogenous Shocks in Complex Networks
• Predictability of large future changes in a competitive evolving population
• On computational irreducibility and the predictability of complex physical systems
• Multifractal Scaling of Thermally-Activated Rupture Processes
• Coarse-graining of cellular automata, emergence, and the predictability of complex systems
• Magnitude-Dependent Omori Law: Empirical Study and Theory
• Download relaxation dynamics on the WWW following newspaper publication of URL
• Response Functions to Critical Shocks in Social Sciences: An Empirical and Numerical Study
• Statistical Physics Approaches to Seismicity
• Volatility fingerprints of large shocks: Endogeneous versus exogeneous