The research aims to identify the relationship between the innovative environment and economic growth in some advanced industrial countries for each of (Switzerland, the United States of America, Russia, and China), as innovation is one of the most important elements in economic growth and acquires varying importance among the study sample countries, and the research hypothesis lies That there is a shortterm and long-term relationship between the indicators of innovation and economic growth and according to the mechanisms and determinants of economic growth, and for the purpose of verifying the goal, some standard methods were used and based on the
Evews12 program and the joint integration model, and based on some selected indicators of innovation as independent variables. As for the gross domestic product, it is The dependent variable and expressed in economic growth and the level of performance of economic activities, and the research found after testing the static variables that all variables and some others are not static, and after taking the first difference at the individual secant and direction, and therefore the rank of stability is a mixture of (0)1 as well as (1), from which the (PANEL ARDL) can be applied, which includes the short and long term, and when testing the co-integration, it turned out that there are A long-term relationship between the research variables at a significant level (5%) at the individual segment and the trend, and when estimating the relationship (PMG), it was found that there is a long-term positive relationship between the value of advanced technology exports, trademarks and patents that led to an increase in GDP at
An increase of (1%) for each of them led to an increase in GDP by (0.238%, 0.653%, 0.77%), respectively. As for the short-term relationship, the estimated relationship showed that the unconstrained error correction coefficient (ECM) amounted to (-0.086) is negative and at a significant level (8%), and this reflects the existence of a short-term
equilibrium relationship between the research variables, and the value of the error correction coefficient means that (31%) of the equilibrium imbalance, that is, the imbalance in the short-term in the previous period (t-1) can be Correcting it in the current period ((t) towards the long-term equilibrium relationship due to any shock (shock) or change in the independent variables (innovation index). Economic For countries with a low innovation index.