IteratedTwoThirdsAverage

Description

IteratedTwoThirdsAverage is an environment for evaluating agents on strategic reasoning about iterated dominance and opponent modeling. This environment wraps the IteratedTwoThirdsAverage implementation from TextArena, a framework for text-based game environments.

Capabilities

• Strategic depth-of-reasoning analysis
• Opponent modeling and prediction
• Iterated dominance understanding
• Competitive gameplay against an LLM opponent

Compute Requirements

IteratedTwoThirdsAverage does not require a sandbox. It has minimal compute requirements.

License

MIT.

Tasks

There are two splits: train (150 tasks) and test (150 tasks). Each split contains 50 tasks across each of 3 variants:

• IteratedTwoThirdsAverage-v0
• IteratedTwoThirdsAverage-v0-train
• IteratedTwoThirdsAverage-v0-raw

Each task is seeded for reproducibility.

Reward Structure

This is a sparse reward environment. Rewards are mapped from TextArena's native range of {-1, 0, 1} to {0.0, 0.5, 1.0} via (raw + 1) / 2.

We do not use LLM graders for this environment; reward is determined programmatically.

Data

Game state is generated procedurally by the TextArena engine using seeded randomness. No external data files are required.

Tools

Agents are given a single tool:

• guess_number(number): Guess a number between 0.0 and 100.0. The winner is closest to 2/3 of the average.

Time Horizon

IteratedTwoThirdsAverage is a multi-turn environment.

Environment Difficulty

Medium-Hard - requires recursive reasoning about opponent sophistication levels and the ability to balance theoretical game theory predictions with practical opponent modeling.

Other Environment Requirements

This environment requires an OpenAI API key (passed via secrets) to power the LLM opponent.

Safety

Agents in IteratedTwoThirdsAverage interact only with a game theory simulation and have no access to external systems, the internet, or sensitive data. The environment does not present safety risks.

Citations

@software{textarena2024,
  author    = {Guertler, Leon and Banting, Wilfried and Pignatelli, Eduardo},
  title     = {TextArena},
  year      = {2024},
  publisher = {GitHub},
  url       = {https://github.com/LeonGuertler/TextArena}
}