X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=doc%2Fsource%2Foverview.rst;h=95eb384f6069233747fa795fd18c4b0431c087d1;hb=HEAD;hp=d20cbe4d15bf23f71d684be97214af6b397235c5;hpb=a098e91f815fbe4b90dbe965262d7ff66cd5f2f7;p=dunshire.git diff --git a/doc/source/overview.rst b/doc/source/overview.rst index d20cbe4..95eb384 100644 --- a/doc/source/overview.rst +++ b/doc/source/overview.rst @@ -1,10 +1,10 @@ Overview -------- -Dunshire is a library for solving linear (cone) games. The notion of a -symmetric linear (cone) game was introduced by Gowda and Ravindran -[GowdaRav]_, and extended by Orlitzky to asymmetric cones with two -interior points. +Dunshire is a library for solving linear games over symmetric +cones. The notion of a symmetric linear (cone) game was introduced by +Gowda and Ravindran [GowdaRav]_, and extended by Orlitzky to +asymmetric cones with two interior points. The state-of-the-art is that only symmetric games can be solved efficiently, and thus the linear games supported by Dunshire are a @@ -27,7 +27,7 @@ an :math:`\bar{x}` from and player two chooses a :math:`\bar{y}` from .. math:: - \Delta_{2} &= + \Delta_{2} = \left\lbrace y \in K\ \middle|\ \left\langle y,e_{1} \right\rangle = 1 \right\rbrace.