penalty clause or liquidated damage which is formerly agreed between parties is legally examined and accepted as a rule. although judge could in some circumstances modify this stipulation. yet its economic analysis which is focused on economic efficiency can be considered as a “major unexplained puzzle in the economic theory of law”. this article compares the major legal systems in the case of ...

We present a general theory of exact penalty functions with vectorial (multidimensional) parameter for optimization problems in infinite dimensional spaces. In comparison the scalar case, use parameters provides much more flexibility, allows one to adaptively and independently take into account violation each constraint during an process, often leads better overall performance method using func...

although our religious doctrines have given special importance to the execution of legal punishments and penalties for their conventional outcomes, the execution of legal punishments or their suspension in the age of occultation of the infallible imam (a.s.) has been one of the controversial issues in jurisprudence, to the extent that it has created two conflicting fronts; one, a group of disti...

This paper aims to examine the death penalty in Zoroastrianism, the Quran, and the laws of the Islamic Republic of Iran. By studying antient Zoroastrian texts, we face a variety of crimes and punishments such as murder, robbery, adultery, magic, rape, and assault that were always considered to be the worst offenses. Zoroastrian religious scholars wrote books on crimes and their punishment in th...

In this work, we study a unilateral contact problem with non local friction of Coulombbetween a locking material and a rigid foundation. In the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. In the second step, usingthe penalty method we...

Lyapunov drift is a powerful tool for optimizing stochastic queueing networks subject to stability. However, the most convenient drift conditions often provide results in terms of a time average expectation, rather than a pure time average. This paper provides an extended drift-plus-penalty result that ensures stability with desired time averages with probability 1. The analysis uses the law of...