most citedA new mathematical representation of Game Theory II

9 citations · 25 across the 9 of their papers we have counts for

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quant-ph20051 cited

Theory of Games on Quantum Objects

Jinshan Wu

Effect of replacing the classical game object with a quantum object is analyzed. We find this replacement requires a throughout reformation of the framework of Game Theory. If we u…

quant-ph20052 cited

Hamiltotian Formalism of Game Theory

Jinshan Wu

A new representation of Game Theory is developed in this paper. State of players is represented by a density matrix, and payoff function is a set of hermitian operators, which when…

quant-ph20041 cited

Quantum Prisoner's Dilemma in the new representation

Jinshan Wu

Using the representation introduced in our another paper\cite{frame}, the well-known Quantum Prisoner's Dilemma proposed in \cite{jens}, is reexpressed and calculated. By this exam…

quant-ph20044 cited

An artificial game with equilibrium state of entangled strategy

Jinshan Wu

Using the representation introduced in \cite{frame}, an artificial game in quantum strategy space is proposed and studied. Although it has well-known classical correspondence, whic…

quant-ph20049 cited

A new mathematical representation of Game Theory II

Jinshan Wu

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 tr…

quant-ph2004

A new mathematical representation of Game Theory, I

Jinshan Wu

In this paper, we introduce a framework of new mathematical representation of Game Theory, including static classical game and static quantum game. The idea is to find a set of bas…