International Economic Integration entails collaborative efforts among nations to overcome barriers and achieve shared benefits. The development of analytical models is crucial for comprehending the interaction of countries as a collective entity. In South America, MERCOSUR stands out, comprising Argentina, Brazil, Paraguay, and Uruguay. In this study, Economic Complexity metrics were applied to analyze productive capacities within MERCOSUR. The results underscore integration's significance by forming economic blocs, capabilities are expanded, enriching diversity and the scope of production. Economic complexity serves as a pivotal tool for assessing interdependence and enhancing countries' global positioning. In summary, this work highlights how economic integration, exemplified by MERCOSUR, enhances productive capacity, propelling development, and competitiveness in an interconnected world. Leveraging a novel computational mathematical model, this study offers insights into the complex dynamics of international economic integration, shedding light on strategies to foster growth and collaboration in a rapidly evolving global landscape.

In a group of individuals that come together to produce a good or provide a service the cooperators who pay to produce the good, are often exploited by those who receive the benefit without paying the cost. Models were developed over time using incentives (rewards or punishment) and the option of leaving the initiative to promote and stabilize the cooperation. In this paper we analyze several models that use as a framework the evolutionary game theory and public goods games. We compare them and systematized their characteristics in a table to select the most suitable for a specific problem. To apply the models we chose the problem of cooperation in community projects of water supply. The comparative results demonstrate that the level of cooperation obtained depends on the mechanisms used, how they are applied and the initial composition of the population.