Here's a ChatGPT summary of infinite vs finite players. It certainly deserves a longer thread, as merf has said, but this is a good introduction to the idea:

"In game theory, an infinite player and a finite player represent different approaches and strategies that individuals can adopt when participating in a game or contest. The main difference between these two concepts lies in their objectives and mindset during gameplay.

Finite Player: A finite player operates within the boundaries of a specific game. They focus on winning the game and achieving short-term goals. Their primary concern is to outperform opponents within the defined rules and constraints of the game. Finite players aim to maximize their gains and minimize their losses within the limited scope of the game they are playing. Their mindset revolves around immediate outcomes and often involves strategies based on tactical calculations and reactive decision-making.

Infinite Player: An infinite player transcends individual games and instead focuses on a broader perspective. They are not driven by winning or losing a particular game but rather by staying in the game for as long as possible. Their objective is to extend their play, maintain flexibility, and adapt to changing circumstances. Infinite players are more concerned with long-term sustainability, continuous improvement, and the evolution of the game itself. They adopt strategies that prioritize resilience, innovation, and the ability to navigate complex and unpredictable situations.

In summary, finite players concentrate on winning within the boundaries of a specific game, whereas infinite players are more interested in continuous participation, adaptation, and long-term strategies that extend beyond individual games. The concept of infinite players is often associated with a more forward-thinking and open-ended approach, while finite players focus on immediate results and maximizing their success within a confined context."