{
  "abstract": "Entanglement harvesting transfers quantum field correlations to localized probes, yet whether these correlations can alter stable strategic behavior has remained unclear. We formulate a quantum-input game in which two Unruh-DeWitt detectors harvest vacuum entanglement from a free massless scalar field in $(3+1)$-dimensional Minkowski spacetime. A referee converts this state into payoffs using independent question qubits and phase-calibrated local Bell measurements. To leading perturbative order, the mean reward is proportional to the signed entanglement margin $\\sqrt{\\mathcal{H}^2+\\mathcal{Q}^2}-\\mathcal{P}$, where $\\mathcal{H}$ is the Hadamard correlation contribution, $\\mathcal{Q}$ is the Pauli-Jordan causal contribution, and $\\mathcal{P}$ is the local excitation noise. Away from payoff degeneracies, allowing each player to exit or to choose an early or late interaction yields $1+2n_+$ trembling-hand perfect equilibria, where $n_+$ counts the positive-reward timing equilibria. For one fixed protocol, five analytically certified settings realize the sequence $7\\to3\\to1\\to7\\to1$. They represent the spacelike region, the first commutator lobe, central carrier cancellation, the second lobe, and the post-wavefront Huygens regime. Thus, within this fixed quantum-input verification protocol, distinct field-correlation regimes generate different stable strategic structures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33188",
  "author_total": 1,
  "authors": [
    {
      "name": "Hao Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fe5kajtkv8xr4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33188",
  "fulltext_url": null,
  "id": "fe5kajtkv8xr4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33188",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7214794355",
  "pdf_url": "https://arxiv.org/pdf/2609.33188",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fe5kajtkv8xr4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.33188",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33188"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Nash Equilibrium from Quantum-Field Entanglement",
  "title_text": "Nash Equilibrium from Quantum-Field Entanglement",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/fe5kajtkv8xr4",
  "venue": "arXiv",
  "versions": []
}