Simultaneous AlphaZero: Extending Tree Search to Markov Games

Fuente: arXiv
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Auteurs principaux: Becker, Tyler, Sunberg, Zachary
Format: Preprint
Publié: 2025
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author Becker, Tyler
Sunberg, Zachary
author_facet Becker, Tyler
Sunberg, Zachary
contents Simultaneous AlphaZero extends the AlphaZero framework to multistep, two-player zero-sum deterministic Markov games with simultaneous actions. At each decision point, joint action selection is resolved via matrix games whose payoffs incorporate both immediate rewards and future value estimates. To handle uncertainty arising from bandit feedback during Monte Carlo Tree Search (MCTS), Simultaneous AlphaZero incorporates a regret-optimal solver for matrix games with bandit feedback. Simultaneous AlphaZero demonstrates robust strategies in a continuous-state discrete-action pursuit-evasion game and satellite custody maintenance scenarios, even when evaluated against maximally exploitative opponents.
format Preprint
id arxiv_https___arxiv_org_abs_2512_12486
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Simultaneous AlphaZero: Extending Tree Search to Markov Games
Becker, Tyler
Sunberg, Zachary
Computer Science and Game Theory
Simultaneous AlphaZero extends the AlphaZero framework to multistep, two-player zero-sum deterministic Markov games with simultaneous actions. At each decision point, joint action selection is resolved via matrix games whose payoffs incorporate both immediate rewards and future value estimates. To handle uncertainty arising from bandit feedback during Monte Carlo Tree Search (MCTS), Simultaneous AlphaZero incorporates a regret-optimal solver for matrix games with bandit feedback. Simultaneous AlphaZero demonstrates robust strategies in a continuous-state discrete-action pursuit-evasion game and satellite custody maintenance scenarios, even when evaluated against maximally exploitative opponents.
title Simultaneous AlphaZero: Extending Tree Search to Markov Games
topic Computer Science and Game Theory
url https://arxiv.org/abs/2512.12486