dorsal/arxiv
View SchemaQuantum correlations and Nash equilibria of a bi-matrix game
| Authors | Azhar Iqbal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406107 |
| URL | https://arxiv.org/abs/quant-ph/0406107 |
| DOI | 10.1088/0305-4470/37/29/L04 |
| Journal | J. Phys. A: Math. Gen. 37 (2004) L353-L359 |
Abstract
Playing a symmetric bi-matrix game is usually physically implemented by sharing pairs of 'objects' between two players. A new setting is proposed that explicitly shows effects of quantum correlations between the pairs on the structure of payoff relations and the 'solutions' of the game. The setting allows a re-expression of the game such that the players play the classical game when their moves are performed on pairs of objects having correlations that satisfy the Bell's inequalities. If players receive pairs having quantum correlations the resulting game cannot be considered another classical symmetric bi-matrix game. Also the Nash equilibria of the game are found to be decided by the nature of the correlations.
{
"annotation_id": "7569c373-5ac1-4d4e-ba2d-bc4cd4759069",
"date_created": "2026-03-02T18:02:09.928000Z",
"date_modified": "2026-03-02T18:02:09.928000Z",
"file_hash": "b2efaa8d927f8267091b026e67ecbecfd70e51eb3d9fc6360caba4f9ef6ffd8f",
"private": false,
"record": {
"abstract": "Playing a symmetric bi-matrix game is usually physically implemented by\nsharing pairs of \u0027objects\u0027 between two players. A new setting is proposed that\nexplicitly shows effects of quantum correlations between the pairs on the\nstructure of payoff relations and the \u0027solutions\u0027 of the game. The setting\nallows a re-expression of the game such that the players play the classical\ngame when their moves are performed on pairs of objects having correlations\nthat satisfy the Bell\u0027s inequalities. If players receive pairs having quantum\ncorrelations the resulting game cannot be considered another classical\nsymmetric bi-matrix game. Also the Nash equilibria of the game are found to be\ndecided by the nature of the correlations.",
"arxiv_id": "quant-ph/0406107",
"authors": [
"Azhar Iqbal"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/37/29/L04",
"journal_ref": "J. Phys. A: Math. Gen. 37 (2004) L353-L359",
"title": "Quantum correlations and Nash equilibria of a bi-matrix game",
"url": "https://arxiv.org/abs/quant-ph/0406107"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "43d38bc5-e86c-4b8e-a22d-17f429bd891e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}