Stochastic Lotka-Volterra equations: A model of lagged diffusion of technology in an interconnected world

25/08/2015

Stochastic Lotka-Volterra equations: A model of lagged diffusion of technology in an interconnected world

Anindya S. Chakrabarti

Working Papers

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We present a model of technological evolution due to interaction between multiple countries and the resultant effects on the corresponding
macro variables. The world consists of a set of economies where some countries are leaders and some are followers in the technology ladder. All of them potentially gains from technological breakthroughs. Applying the famous Lotka-Volterra equations to model the evolution of technology frontier, we show that the way technology diffuses creates
repercussions in the partner economies. This process captures the spill-over effects on major macro variables seen in the current highly globalized world due to trickle-down effects of technology.

IIMA