X-Git-Url: http://gitweb.michael.orlitzky.com/?p=dunshire.git;a=blobdiff_plain;f=doc%2Fsource%2Foverview.rst;h=d20cbe4d15bf23f71d684be97214af6b397235c5;hp=be857ae50559f0a3e7d0224ea1537a7a64f9c31e;hb=a098e91f815fbe4b90dbe965262d7ff66cd5f2f7;hpb=e7c55686a451f1f708eac2652f147acb1c0ec70c diff --git a/doc/source/overview.rst b/doc/source/overview.rst index be857ae..d20cbe4 100644 --- a/doc/source/overview.rst +++ b/doc/source/overview.rst @@ -1,10 +1,10 @@ Overview -------- -Dunshire is a `CVXOPT `_-based 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 (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. The state-of-the-art is that only symmetric games can be solved efficiently, and thus the linear games supported by Dunshire are a @@ -34,10 +34,10 @@ and player two chooses a :math:`\bar{y}` from That ends the turn, and player one is paid :math:`\left\langle L\left(\bar{x}\right),\bar{y}\right\rangle` out of player two's -pocket. As is usual to assume in game theory, we suppose that player -one wants to maximize his worst-case payoff, and that player two wants -to minimize his worst-case *payout*. In other words, player one wants -to solve the optimization problem, +pocket. As is usual in game theory, we suppose that player one wants +to maximize his worst-case payoff, and that player two wants to +minimize his worst-case *payout*. In other words, player one wants to +solve the optimization problem, .. math:: \text{find }