That only makes sense if you restrict Bob&#x27;s decision making to consider each game in isolation, without regard to how how rejecting an offer in one game might lead to a higher offer in a future game. At that point, I would call it a different problem entirely, so there isn&#x27;t much point in comparing the results. I certainly wouldn&#x27;t label that version of the problem &quot;rational&quot; and the version where Bob considers future games &quot;irrational&quot;.