Four-part partition games by transformation of variables in Silverman's game: Details of some examples (Q1975980)

The paper deals with a sort of two-person zero sum games generating the Silverman's game (where two players independently choose numbers from a given set and the relation between those numbers determines the pay-offs). In this paper, a game is considered in which the strategy sets of the players are intervals, the rectangle of the pairs of strategies is partitioned into four segments, and the pay-offs depend on the segment to which the chosen pair of strategies belongs. The main parts of the paper are devoted to a detailed analysis of several examples of such games.