According to economic theory, if there is a compensatory equilibrium in the economy, there will be a competitive equilibrium on condition of positive income for all households. The condition of positive income also will be established when households have resource links with each other. According to a theory of Islamic economics, this relationship of resources (In the economic literature must have certain conditions) can be derived from sources such as Zakat. The present study intends to use a vector error correction model to answer the question that how much the actual amount of Zakat payment will be effective on income inequality in comparison with the amount of potential Zakat. Results after estimating three different models and applying control variables show that using the policy potentials available in Islamic economics, assuming other conditions are fixed, a simultaneous competitive and compensatory equilibrium in the Iranian economy can be established implicitly. In other words, if a policymaker can minimize the gap between actual and potential Zakat by applying some policies, Positive income establishment for all households will be possible.