Explain Power Laws and Memory Effects in Game Data

Explain the mechanisms producing power laws and memory effects in game-history databases and in the training and inference datasets of game-playing models.

Background

The paper identifies the emergence of power-law behavior and memory effects as an open question across several types of data: databases of game histories and datasets used to train and run game-playing models.

This problem is connected to the paper's interest in generating and analyzing very large collections of battle records through the Turn-Based Combat Arena framework.

References

Although neural networks, in conjunction with classical methods, currently represent the state of the art in gameplaying AI, achieving victory is not the only goal. There are many other open questions in game theory, such as the relation between player performance and complexity of his/her behavior and underlying decision-making processes , the effects of diversity of playing strategies in multiagent gaming environments , , , or the mechanisms of appearance of power laws and memory effects in game-history databases , and in models' training and inference datasets .

— Turn-Based Combat Arena: A New Framework for Multiagent Training and Game Balancing  (2609.03122 - Vasyuta et al., 2 Sep 2026) in Introduction