## Question

###### Contest Design In head-to-head wrestling match. Georg can beat Jakob with probability p-0 and Georg can beat Ulf with probability q?0. Ulf is tougher opponent than Jakob so p>q To win contest. Georg has to win at least rOw out of 3 head- head matches against Jakob or Ulf and Georg cannot play the same person twice TOW That is. Georg can play either Jakob-Ulf-Jakob or Ulf-Jakob-Ulf: Show that Georg maximizes his probability of winning the contest by playing the better opponent; Ulf; [Wice_

Contest Design In head-to-head wrestling match. Georg can beat Jakob with probability p-0 and Georg can beat Ulf with probability q?0. Ulf is tougher opponent than Jakob so p>q To win contest. Georg has to win at least rOw out of 3 head- head matches against Jakob or Ulf and Georg cannot play the same person twice TOW That is. Georg can play either Jakob-Ulf-Jakob or Ulf-Jakob-Ulf: Show that Georg maximizes his probability of winning the contest by playing the better opponent; Ulf; [Wice_

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