Blanchet Adrien, Carlier Guillaume
IAST/TSE (GREMAQ, Université de Toulouse), 21 Allée de Brienne, 31015 Toulouse, France
CEREMADE-Université Paris Dauphine, Place de Lattre de Tassigny, 75775 Paris Cédex 16, France.
Philos Trans A Math Phys Eng Sci. 2014 Nov 13;372(2028). doi: 10.1098/rsta.2013.0398.
The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of N player games. Analysis of Nash equilibria is however a complex issue when the number of players is large. In this article, we emphasize the role of optimal transport theory in (i) the passage from Nash to Cournot-Nash equilibria as the number of players tends to infinity and (ii) the analysis of Cournot-Nash equilibria.
纳什均衡的概念在N人博弈框架下的战略互动分析中起着关键作用。然而，当参与者数量众多时，纳什均衡的分析是一个复杂的问题。在本文中，我们强调最优传输理论在以下两方面的作用：（i）当参与者数量趋于无穷大时，从纳什均衡到古诺-纳什均衡的过渡；（ii）古诺-纳什均衡的分析。
