Mathematical modeling of game economics

• Autor(a) principal: Valente, Ana Catarina Tavares Cirne
• Data de Publicação: 2023
• Tipo de documento: Dissertação
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10773/40975
• topic: Game economics; Gold-farmers; Dynamical systems; Equilibrium points; Stability analysis; Phase portrait

The gaming industry is in a trajectory of growth, having already established a market with capitalization in the order of billion of dollars [7]. One notable development within this industry was the emergence of "play-to-earn" games. Besides the entertainment, an attractiveness factor in this type of game is the possibility of profit. Such games, leveraged on blockchain technology, allow players to earn and own digital assets, that can be sold outside of the game at their own discretion. Thereby, "play-to-earn" games create a virtual economy. Although, these economies may differ in complexity from real ones, economic agents behave similarly [10]. Consequently, there has been an extensive discussion on this topic, as the modeling of those game economies can provide insights on the their dynamics, supporting processes, such as decision-making processes in real economies, and prediction of price or players function. However, they can be quite difficult to balance and so it is essential to apply mathematical frameworks and techniques. In this work, a dynamical system that reflects the dynamics present in a game economy is proposed. In order to do so, it was taken into consideration the Axie Infinity’s economy. Through the analysis performed on the model and the simulations carried out, it was possible to infer the robustness of the developed model, outlining future research directions that can enhance this area of study.