  We extend the opinion formation approach to probe the world influence of
economical organizations. Our opinion formation model mimics a battle between
currencies within the international trade network. Based on the United Nations
Comtrade database, we construct the world trade network for the years of the
last decade from 2010 to 2020. We consider different core groups constituted by
countries preferring to trade in a specific currency. We will consider
principally two core groups, namely, 5 Anglo-Saxon countries which prefer to
trade in US dollar and the 11 BRICS+ which prefer to trade in a hypothetical
currency, hereafter called BRI, pegged to their economies. We determine the
trade currency preference of the other countries via a Monte Carlo process
depending on the direct transactions between the countries. The results
obtained in the frame of this mathematical model show that starting from year
2014 the majority of the world countries would have preferred to trade in BRI
than USD. The Monte Carlo process reaches a steady state with 3 distinct
groups: two groups of countries preferring, whatever is the initial
distribution of the trade currency preferences, to trade, one in BRI and the
other in USD, and a third group of countries swinging as a whole between USD
and BRI depending on the initial distribution of the trade currency
preferences. We also analyze the battle between USD, EUR and BRI, and present
the reduced Google matrix description of the trade relations between the
Anglo-Saxon countries and the BRICS+.
