Summary of this post

This is the third post in a three-part sequence on instrumental convergence in multi-agent RL. Read Part 1 and Part 2.

In this post, we’ll:

Investigate instrumental convergence on a multi-agent gridworld with a complicated topology.
Show that when we add a simple physical interaction between our agents — in which we forbid them from overlapping on the gridworld — we induce stronger instrumental alignment between short-sighted agents, and stronger instrumental misalignment between far-sighted agents.

We’ll soon be open-sourcing the codebase we used to do these experiments. If you’d like to be notified when it’s released, email Edouard at edouard@gladstone.ai or DM me on Twitter at @harris_edouard.

Thanks to Alex Turner and Vladimir Mikulik for pointers and advice, and for reviewing drafts of this sequence. Thanks to Simon Suo for his invaluable suggestions, advice, and support with the codebase, concepts, and manuscript. And thanks to David Xu, whose comment inspired this work.

Work was done while at Gladstone AI, which Edouard is a co-founder of.

🎧 This research has been featured on an episode of the Towards Data Science podcast. Listen to the episode here.

1. Introduction

In Part 1 of this sequence, we saw how an agent with a long planning horizon tends to perceive instrumental value as being more concentrated than an agent with a shorter planning horizon. And in Part 2, we introduced a multi-agent setting with two agents — Agent H (standing for a human) and Agent A (standing for a powerful AI) — which we used to motivate a definition of multi-agent instrumental value, or POWER. We looked at how this definition behaved on a simple 3x3 gridworld, and found that when our agents had independent terminal goals,^[1] their instrumental values ended up misaligned by default.

In this post, we’ll combine these two ideas and scale up our multi-agent experiments to a bigger and more complicated gridworld. Throughout this post, we’ll focus exclusively on the regime in which our agents have independent terminal goals. We'll see whether we can reproduce instrumental misalignment-by-default in this regime, and then we'll investigate which factors seem strengthen or weaken the instrumental alignment between our agents.

2. Multi-agent POWER: recap

If you’ve just read Part 2 of this sequence, ...

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