可扩展的多人市场模型的量子博弈

摘要

The quantum game of the classical Bertrand's duopoly model was generalized to N-player case.In a quantized game,the more entanglement is involved,the higher maximal profits it will be.It monotonously increases until the optimal collusive profit,which is restricted,and cannot be achieved in its classical game.With partial information entanglement between two adjacent firms,the generalizing evolutionary N-player Bertrand's model not only solved the Bertrand paradox,but also achieved a practical result.%将古典经济学模型中的Bertrand双寡头模型推广到了N人的情况.在量子化的博弈中,随着所加纠缠的增大,收益也增大.并且,收益值将不断增长直至达到最优的“合作收益”值.而这个“合作收益”的值在经典博弈的非合作情况中是无法达到的.我们的量子化方法是,在相邻两公司间加入部分信息纠缠.推广到N人的Bertrand模型不但解决了Bertrand模型中的悖论,而且得到一个较为可行的结论.