A four-part partition game on a rectangle SI × SII is a two-person zero-sum game where the strategy sets SI and SII are intervals and the rectangle is partitioned by three curves into four regions on each of which the payoff function is constant. These games generalize Silverman's game, where the boundary curves are of the form y = Tx, y = x and y = x/T. In this paper four examples are examined in detail, starting in each case from an example of Silverman's game on intervals, transforming it to an isomorphic four-part partition game, and determining optimal strategies for each player by transforming known optimal strategies in Silverman's game.
