// each players want to minimise the probability of sending s messages <<p1:p2>>max=?(P[F sent1=smax] + P[F sent2=smax]) // each players want to minimise the probability of sending s messages within t steps <<p1:p2>>max=?(P[F<=k sent1=smax] + P[F<=k sent2=smax]) // one bounded and one unbounded <<p1:p2>>max=?(P[F<=k sent1=smax] + P[F sent2=smax])