Changes

The expected utility is the utility of winning times the probability that the opponent concedes at <math>X \;\forall X \le T_i\,</math>, plus the utility of losing times the probability that the opponent hasn't conceded by the time that you pre-designate that you would concede (<math>T_i\,</math>). For notionnotation, <math>H(T)\,</math> will be the distribution of of the opponents opponent's optimal time of concessionand <math>h(T)\,</math> the associated density function. This The expected utility is : :<math>EU(T_i) =[1-H(T_i)] U^L(T_i) + \int_0^T_i U^W(x) h(x) dx\,</math> This equation can be simplified as shown on equation (8) in the paper on page 1177.