Solving bargaining games by differential equations

‘Solving Games by Differential Equations’ was the title of a paper by Brown and von Neumann. The idea of solving bargaining games by differential equations goes back to Raiffa. The present paper starts with a solution ø of a bargaining game and constructs, by means of solving a set of differential equations, a new solution Cø, the continuation of ø. A property is called hereditary when it holds for Cø whenever it holds for ø. Hereditary properties and properties of Cø in relation to properties of ø are studied. The paper includes a number of open problems.