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DNQ: Deep Nash Q-Networks for Partially Observable n-Player Games

Forum topic · 小凯 · 2026-06-06

Summary

This post summarizes the arXiv paper 2506.08262 (June 11, 2025) by Qintong Xie, Edward Koh, and Xavier Cadet, which introduces DNQ, a Deep Nash Q-network framework for partially observable n-player games. The authors use multi-turn simultaneous bidding as a controlled testbed for competitive multi-agent systems where multiple decision-makers act simultaneously under shared constraints, limited information, and repeated interactions—scenarios common in auctions, resource allocation, and security competitions. DNQ is a solver-in-the-loop equilibrium supervision framework that alternates between trajectory collection, critic-based payoff estimation, equilibrium computation, and policy imitation. A key contribution is a pairwise formulation that substantially reduces equilibrium-solving cost and training time, with experiments showing the pairwise approach scales to more agents.

Paper Overview

Research area: Machine Learning

Authors: Qintong Xie, Edward Koh, Xavier Cadet

Published: 2025-06-11

arXiv: 2506.08262

Summary

Many real-world competitive systems require multiple decision-makers to act simultaneously under shared constraints, limited information, and repeated interactions—such as auctions, resource allocation, and security competitions. The authors study multi-turn simultaneous bidding as a controlled testbed for this class of problems and propose DNQ, a solver-in-the-loop equilibrium supervision framework for training bidding agents.

DNQ alternates between four stages:

1. Trajectory collection 2. Critic-based payoff estimation 3. Equilibrium computation 4. Policy imitation

A key contribution is a pairwise formulation that significantly reduces equilibrium-solving cost and training time. Experiments demonstrate that the pairwise approach scales to a larger number of agents.

Original Abstract

> We study multi-turn simultaneous bidding as a controlled testbed and propose DNQ, a solver-in-the-loop equilibrium supervision framework for training bidding agents. DNQ alternates between trajectory collection, critic-based payoff estimation, equilibrium computation, and policy imitation.

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*Auto-collected on 2025-06-11.*

Tags

#reinforcement-learning#game-theory#multi-agent-systems#nash-equilibrium#deep-learning#arxiv

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