user11144: Inspiration.
For the moment, a nonstandard nxn board suffices. Very obviously, with growing n the long-range pieces become stronger with respect to short range ones. (Also, other effects come in play, e.g. the Q can't regularly win against a R if n is large enough.) Does any research on assigning piece values on a nonstandard nxn board exist?

user30545: Here is one idea.

Create an engine that can play on that nxn board.
Expose the piece value as option for tuning.
Conduct piece value optimization using optuna hyperparameter optimization framework or other framework. Typical example is the optuna game parameter tuner.

After some trials you will be able to get a decent piece values.

11144: <p><a href="https://chess.stackexchange.com/questions/39003/what-are-the-piece-values-in-chess-coms-four-player-chess">Inspiration.</a></p>
<p>For the moment, a nonstandard nxn board suffices. Very obviously, with growing n the long-range pieces become stronger with respect to short range ones. (Also, other effects come in play, e.g. the Q can't regularly win against a R if n is large enough.) Does any research on assigning piece values on a nonstandard nxn board exist?</p>
 30545: <p>Here is one idea.</p>
<ol>
<li>Create an engine that can play on that nxn board.</li>
<li>Expose the piece value as option for tuning.</li>
<li>Conduct piece value optimization using <a href="https://github.com/optuna/optuna" rel="nofollow noreferrer">optuna</a> hyperparameter optimization framework or other framework. Typical example is the <a href="https://github.com/fsmosca/Optuna-Game-Parameter-Tuner" rel="nofollow noreferrer">optuna game parameter tuner</a>.</li>
</ol>
<p>After some trials you will be able to get a decent piece values.</p>
