NE as a prediction for the outcome of a game requires that each player (1) know the equilibrium of the game and (2) correctly expects it to be played. Then and then only, will each player have no incentive to unilaterally deviate from his equilibrium strategy as he expects his rivals to play their equilibrium strategies. The two assumptions are sensible if a game has been played a number of tim...

The eigenvalue statistics of quantum ideal gases with single particle energies en = n α are studied. A recursion relation for the partition function allows to calculate the mean density of states from the asymptotic expansion for the single particle density. For integer α > 1 one expects and finds number theoretic degeneracies and deviations from the Poissonian spacing distribution. By semiclas...

The origins of the probation service can be traced back to the late-Victorian era and the introduction of the so-called police court missionaries who super vised offenders on conditional release from the court. The service grew slowly, but mushroomed in the 1970s and 1980s when several major acts widened the scope of the service by introducing parole, after care of discharged prisoners, communi...