MetaOthello: A Controlled Study of Multiple World Models in Transformers

Aviral Chawla1,*   Galen Hall2,*   Juniper Lovato1

1Vermont Complex Systems Institute, University of Vermont  ·  2University of Michigan

*Equal contribution

ICML 2026  ·  Seoul, South Korea

MetaOthello overview: an ambiguous move sequence is consistent with two different Othello variants (Classic and NoMidFlip); a transformer trained on both processes the sequence through shared early layers, and linear probes recover the correct, variant-specific board state at a later layer.

MetaOthello is a suite of Othello-like games played on the same 8×8 board, but follow different rules. We train small GPTs on sequences from mixtures of these games. We then probe the model to read — and intervene on — the board state it believes it is tracking. We show how the model learns to abstract across disparate games and, importantly, how it resolves ambiguity.

We Find

1

Shared Representations

Transformers learn to generalize shared abstractions. Board represenations for two disparate games is causally interchangeable.

2

Shared Computation

Models perform game-general computations in early layers and then later identify game identity for game specific calculations.

3

Ambiguity Circuit

When game sequences overlap and board representations are causally shared, we show mechanisms of how model resolve ambiguity.

Cite Us

If you find MetaOthello useful, please cite our paper:

@inproceedings{chawla_hall_2026_metaothello,
  title     = {MetaOthello: A Controlled Study of Multiple World Models in Transformers},
  author    = {Chawla, Aviral and Hall, Galen and Lovato, Juniper},
  booktitle = {Proceedings of the 43rd International Conference on Machine Learning},
  series    = {Proceedings of Machine Learning Research},
  volume    = {306},
  year      = {2026},
  address   = {Seoul, South Korea},
  publisher = {PMLR}
}