A notion of dominance studied in class is weak dominance (recall that its definition only requires weak inequalities). An alternative notion is…

3,1

(b) Solution concepts such as IEDS and IESDS are meaningful in that they serve as a prediction of a given game; e.g., one may argue that players are very likely to play an IEDS solution. Then are the predictions obtained by IEDS in part (a) convincing? Why or why not?

(c) In contrast with IEDS, IESDS has the advantage that it does not rely on the order of elimination of strictly dominated strategies. Show that this is true for 2 × 2 games1 . (For this reason, IESDS is generally perceived as a more robust solution concept than IEDS).

(d) IESDS is not without limitations, however. In each round of elimination, IESDS deletes only strictly dominated strategies and as compared to IEDS, the process can fail more easily to produce a single strategy profile in the end. Construct an example of a 2 × 2 game for which an IEDS solution exists but an IESDS solution does not. 

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