minimax, maximin or plain

A simple riddle from The Riddler on choosing between the maximum between two minima of two throws of an N-face dice, the minimum between two maxima of two throws of an N-face dice, and a single throw. Since maximin is always less than minimax, second choice is always worse than first and a stochastic domination version of the argument shows the single throw should stand in the middle.

3 Responses to “minimax, maximin or plain”

  1. […] article was first published on R – Xi'an's Og, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here) […]

  2. Cody L. Custis's avatar
    Cody L. Custis Says:

    “maximin is always less than maximin”

    Something is off here.

Leave a Reply

Discover more from Xi'an's Og

Subscribe now to keep reading and get access to the full archive.

Continue reading