We prove the existence of a subgame-perfect ε-equilibrium, for every ε > 0, in a class of multi-player games with perfect information, which we call free transition games. The novelty is that a non-trivial class of perfect information games is solved for subgameperfection, with multiple non-terminating actions, in which the payoff structure is generally not semi-continuous. Due to the lack of s...

We show that the value of a zero-sum Bayesian game is a Lipschitz continuous function of the players’common prior belief, with respect to the total variation metric on beliefs. This is unlike the case of general Bayesian games, where lower semi-continuity of Bayesian equilibrium (BE) payo¤s rests on the "almost uniform" convergence of conditional beliefs. We also show upper semi-continuity (USC...

It is shown that every commutative arithmetic ring R has λ-dimension ≤ 3. An example of a commutative Kaplansky ring with λ-dimension 3 is given. Moreover, if R satisfies one of the following conditions, semi-local, semi-prime, self f p-injective, zero-Krull dimensional, CF or FSI then λ-dim(R) ≤ 2. It is also shown that every zero-Krull dimensional commu-tative arithmetic ring is a Kaplansky r...

Motivated by the fact that null-shell of a collapsing black hole can be described perfectly reflecting accelerating mirror, we investigate an extension this model to mirror semi-transparency and derive general implicit expression for corresponding Bogoliubov coefficients. Then, turn into explicit analytical form focusing on mirrors are accelerated via impulsive force. From so-obtained coefficie...

Delay integro-differential equations are very important in biology, medicine and many other fields. If we take random noise into account, we can obtain many stochastic delay integro-differential equations (SDIDEs). As a special case of stochastic functional differential equations (SFDEs), the fundamental theory of existence and uniqueness of the solution of SDIDEs can be regarded similarly to t...

This paper highlights the capability and potential of a recently-introduced method of designing modelpredictive safety (MPS) systems (Mohseni Ahooyi et al., 2016). For the first time, the method proposed a systematic utilization of process models to generate predictive alarm signals (alerts) for the detection of present and future operation hazards (OHs) in real time. An MPS system uses a proce...

Mucopolysaccharidoses (MPS) are severe inherited metabolic disorders caused by storage of glycosaminoglycans (GAGs). The level of accumulated GAGs is an important parameter in assessment of the severity of the disease and the efficacy of treatment; unfortunately, biochemical methods are often unreliable and only semi-quantitative. Therefore, finding other methods for estimation of GAG levels an...