dorsal/arxiv
View SchemaBackwards-induction outcome in a quantum game
| Authors | A. Iqbal, A. H. Toor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111090 |
| URL | https://arxiv.org/abs/quant-ph/0111090 |
| DOI | 10.1103/PhysRevA.65.052328 |
| Journal | Phys. Rev. A 65, 052328 (2002) |
Abstract
In economics duopoly is a market dominated by two firms large enough to influence the market price. Stackelberg presented a dynamic form of duopoly that is also called `leader-follower' model. We give a quantum perspective on Stackelberg duopoly that gives a backwards-induction outcome same as the Nash equilibrium in static form of duopoly also known as Cournot's duopoly. We find two qubit quantum pure states required for this purpose.
{
"annotation_id": "af18877f-8456-4d9c-9f07-47814723476d",
"date_created": "2026-03-02T18:01:48.277000Z",
"date_modified": "2026-03-02T18:01:48.277000Z",
"file_hash": "26e81ed3ba58a9e4350119b196ed1a236fc21fe992f24111843d6c0567fa809c",
"private": false,
"record": {
"abstract": "In economics duopoly is a market dominated by two firms large enough to\ninfluence the market price. Stackelberg presented a dynamic form of duopoly\nthat is also called `leader-follower\u0027 model. We give a quantum perspective on\nStackelberg duopoly that gives a backwards-induction outcome same as the Nash\nequilibrium in static form of duopoly also known as Cournot\u0027s duopoly. We find\ntwo qubit quantum pure states required for this purpose.",
"arxiv_id": "quant-ph/0111090",
"authors": [
"A. Iqbal",
"A. H. Toor"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.052328",
"journal_ref": "Phys. Rev. A 65, 052328 (2002)",
"title": "Backwards-induction outcome in a quantum game",
"url": "https://arxiv.org/abs/quant-ph/0111090"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6c9fc3e1-69e3-4485-a415-1b10b49b1e16",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}