A new mathematical representation of Game Theory II
| dc.creator | Wu, Jinshan | |
| dc.date | 2004-05-30 | |
| dc.date.accessioned | 2026-07-07T06:09:49Z | |
| dc.date.available | 2026-07-07T06:09:49Z | |
| dc.description | In another paper with the same name\cite{frame}, we proposed a new representation of Game Theory, but most results are given by specific examples and argument. In this paper, we try to prove the conclusions as far as we can, including a proof of equivalence between the new representation and the traditional Game Theory, and a proof of Classical Nash Theorem in the new representation. And it also gives manipulation definition of quantum game and a proof of the equivalence between this definition and the general abstract representation. A Quantum Nash Proposition is proposed but without a general proof. Then, some comparison between Nash Equilibrium (NE) and the pseudo-dynamical equilibrium (PDE) is discussed. At last, we investigate the possibility that whether such representation leads to truly Quantum Game, and whether such a new representation is helpful to Classical Game, as an answer to the questions in \cite{enk}. Some discussion on continuous-strategy games are also included. | |
| dc.description | 15 pages, a mathematical version of exemplified quant-ph/0404159, in the style of definition, theorem and proof, a few of new points | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0405183 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0405183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92090 | |
| dc.subject | Quantum Physics | |
| dc.title | A new mathematical representation of Game Theory II | |
| dc.type | text |