scholarly journals Nash Equilibrium Investment-Reinsurance Strategies for an Insurer and a Reinsurer with Intertemporal Restrictions and Common Interests

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 139
Author(s):  
Yanfei Bai ◽  
Zhongbao Zhou ◽  
Rui Gao ◽  
Helu Xiao

This paper investigates the generalized multi-period mean-variance investment-reinsurance optimization model in a discrete-time framework for a general insurance company that contains a reinsurer and an insurer. The intertemporal restrictions and the common interests of the reinsurer and the insurer are considered. The common goal of the reinsurer and the insurer is to maximize the expectation of the weighted sum of their wealth processes and minimize the corresponding variance. Based on the game method, we obtain the Nash equilibrium investment-reinsurance strategies for the above-proposed model and find out the equilibrium strategies when unilateral interest is considered. In addition, the Nash equilibrium investment-reinsurance strategies are deduced under two special premium calculated principles (i.e., the expected value premium principle and the variance value premium principle). We theoretically study the effect of the intertemporal restrictions on Nash equilibrium investment-reinsurance strategies and find the effect depends on the value of some parameters, which differs from the previous researches that generally believed that intertemporal restrictions would make investors avoid risks. Finally, we perform corresponding numerical analyses to verify our theoretical results.

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Zhe Chen

Cognition is a complex and dynamic process. It is an essential goal to estimate latent attentional states based on behavioral measures in many sequences of behavioral tasks. Here, we propose a probabilistic modeling and inference framework for estimating the attentional state using simultaneous binary and continuous behavioral measures. The proposed model extends the standard hidden Markov model (HMM) by explicitly modeling the state duration distribution, which yields a special example of the hidden semi-Markov model (HSMM). We validate our methods using computer simulations and experimental data. In computer simulations, we systematically investigate the impacts of model mismatch and the latency distribution. For the experimental data collected from a rodent visual detection task, we validate the results with predictive log-likelihood. Our work is useful for many behavioral neuroscience experiments, where the common goal is to infer the discrete (binary or multinomial) state sequences from multiple behavioral measures.


Author(s):  
E. A. Bagrin

The article examines unpublished petitions of Siberian warriors who participated campaign of Ambassador F. A. Golovin to Dauria in 1686–1689. The campaign ended with the signing of the first treaty between Russia and China concerning the border. Petitions contains requests of warriors to return them home, warriors’ merits and deprivations. These documents allow to compare the information of original participants of campaign with the data reflected in the chancellery of the embassy. This comparison not only confirmed the reliability of the description of campaign to Dauria in the sources, but also made it possible to reveal some facts not mentioned in the embassy documents. These petitions describe the common interests and needs of warriors of various categories from different towns of Siberia. In some cases, the petitioners embellish or conceal some facts. These documents emphasize most clearly the emergency situation with provision of food and material needs of warriors as a result of hardships during transitions and military operations.


Author(s):  
Paolo Giamundo

Background: Minimally-invasive treatments for hemorrhoids should be encouraged as they cause low morbidity, reasonable discomfort and quicker return to work. According to the “vascular theory” hemorrhoidal disease is mainly caused by blood overflow into hemorrhoidal plexus deriving from the superior hemorrhoidal arteries. Introduction: Many different procedures have been described in the literature with the common goal of reducing the blood flow into the hemorrhoidal piles. ‘HeLP’ (Hemorrhoids Laser Procedure) is a novel form of dearterialization to treat patients suffering from symptomatic hemorrhoids. Methods: The procedure consists of the closure of the terminal branches of the superior rectal artery approximately 2-3 cm above the dentate line by means of laser shots originated by a diode laser platform. The arteries, at that level, have variable location and distribution. Therefore, a doppler probe set at the frequency of 20MHz helps identifying the arteries that would be missed otherwise. The laser beam is well tolerated by patients. For this reason, anesthesia is not required in most cases and the procedure allows a quick return to daily activities. In case of concomitant severe mucosal prolapse, the laser treatment can be combined with suture mucopexy. Three to six running sutures allow a complete lifting of hemorrhoidal piles, securing long-term resolution of symptoms. Results and Conclusions: ‘HeLP’ is indicated in patients with symptomatic hemorrhoids where conservative treatment failed and when mucosal prolapse is scarce or not symptomatic. The addition of mucopexy to laser treatment (HeLPexx) contributes to overall resolution of symptoms when mucosal prolapse is an issue, Emborrhoid is another novel, ‘hi-tech’ form of selective dearterialization used in selected case of hemorrhoids where main symptom is bleeding. It is generally used in cases where surgery is contraindicated due to severe concomitant diseases.


Author(s):  
Rosalia Gonzales ◽  
Travis Mathewson ◽  
Jefferson Chin ◽  
Holly McKeith ◽  
Lane Milde ◽  
...  

Since the advent of modern-day screening collections in the early 2000s, various aspects of our knowledge of good handling practices have continued to evolve. Some early practices, however, continue to prevail due to the absence of defining data that would bust the myths of tradition. The lack of defining data leads to a gap between plate-based screeners, on the one hand, and compound sample handling groups, on the other, with the latter being the default party to blame when an assay goes awry. In this paper, we highlight recommended practices that ensure sample integrity and present myth busting data that can help determine the root cause of an assay gone bad. We show how a strong and collaborative relationship between screening and sample handling groups is the better state that leads to the accomplishment of the common goal of finding breakthrough medicines.


2018 ◽  
Vol 224 ◽  
pp. 01138
Author(s):  
Yuri Rapatskiy ◽  
Mikhail Zamorenov ◽  
Vadim Kopp ◽  
Yuri Obzherin ◽  
Vladimir Gusev ◽  
...  

In the article a common semi-Markov mathematical model is considered that allows one to investigate the productivity and reliability of various technological processes of mechanical assembly production. The proposed model allows to study, inter alia, technological processes of manufacturing parts with screw and assemblies of threaded connections. Mathematical apparatus of the research is the theory of semi-Markov processes with a common phase space, which operates with a common kind of random variables distribution functions. If the considering process in the system is a subsystem located on a higher level of hierarchy, the hierarchical model for compatibility with each other levels as output simulation parameters required distribution functions. In the proposed model, based on the decision of the Markov renewal equations depend not only on the torque characteristics, but also the distribution function of time per unit of output service according to different kinds of undervalued failures.


1990 ◽  
Vol 117 (2) ◽  
pp. 173-277 ◽  
Author(s):  
C. D. Daykin ◽  
G. B. Hey

AbstractA cash flow model is proposed as a way of analysing uncertainty in the future development of a general insurance company. The company is modelled alongside the market in aggregate so that the impact of changes in premium rates relative to the market can be assessed. An extensive computer model is developed along these lines, intended for use in practical applications by actuaries advising the management of genera1 insurance companies. Simulation methods are used to explore the consequences of uncertainty, particularly in regard to inflation and investments. Some comments are made on the role of actuaries in general insurance. Alternative approaches to describing the behaviour of an insurance firm in the market are considered.


Electronics ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 210
Author(s):  
Paweł Górecki ◽  
Krzysztof Górecki

This article proposes effective methods of measurements and computations of internal temperature of the dies of the Insulted Gate Bipolar Transistor (IGBT) and the diode mounted in the common case. The nonlinear compact thermal model of the considered device is proposed. This model takes into account both self-heating phenomena in both dies and mutual thermal couplings between them. In the proposed model, the influence of the device internal temperature on self and transfer thermal resistances is taken into account. Methods of measurements of each self and transfer transient thermal impedances occurring in this model are described and factors influencing the measurement error of these methods are analysed. Some results illustrating thermal properties of the investigated devices including the IGBT and the antiparallel diode in the common case are shown and discussed. Computations illustrating the usefulness of the proposed compact thermal model are presented and compared to the results of measurements. It is proved that differences between internal temperature of both dies included in the TO-247 case can exceed even 15 K.


Author(s):  
I. A. Shapoval ◽  

The paper presents the interdisciplinary analysis of the determinants of the system of self-communication discourse and internal dialogue as the forms of objectivation of human mental content focused on some actions for meeting some objectives. The author describes discourse as integration of communication and language processes in self-understanding and personal identity. Contextually determined and dynamic self-communication discourse, as a way of acquirement of new senses and confirmation of old ones, verbalizes current personal values. The study results reveal the characteristics and relations of the internal dialogue discourse determinants within the human objectivity–subjectivity continuum. Discourse determinants prescribe its context and rules and include the prototype place and agents with their motives and objectives. Self-positions manifested in Self and Non-Self (Other Self) binary self-predications form the core pair of agents. The modality of a person’s attitude to own Self-positions makes their communications a dialogue or a monologue on the boundary of their sub-territories as a discourse prototype place. The degree of discourse agency, its closeness within the prototype place, or transgression openness depends on the complexity and differentiation of Self-concept and ego boundaries functionality. The frustration of meta-necessity to keep self-confidence and self-acceptance by reassessment and reformation of interrelations of Self-positions determines the motives and objectives of self-communication. The common goal of self-organization is implemented through the internal dialogue in the form of institutionalization, verification, and integration of their Self-predications. Status-role characteristics of agents and functionality of discourse prototype place determine the specificity of its motives and objectives according to the systemic effects of Self-organization.


Author(s):  
Alla M. Shustova ◽  

The article is dedicated for the 85th anniversary of His Holiness Dalai Lama the 14th Tenzin Gyatso and considers his contribution to establishing the dialogue between academic research and spirituality. It depicts main points of Dalai Lama’s way in science, the results of which he described in his book ‘The Universe in a Single Atom. How Science and Spirituality Can Serve Our World’. In this book His Holiness tried to explain the possibility of reaching a unified vision of the world, based not only on science but also on spirituality. Dalai Lama is sure of the necessity of the dialogue between science and Buddhism; he believes that there are certain points, where science and Buddhist philosophy come very close to each other, and may form a good base for such a dialogue. It is for example non-theistic character of both science and Buddhism, the similarity of their methods of cognition, along with the common goal of attaining the truth. Dalai Lama raises one important question: Should there be a place for ethics in science? Giving the positive answer, he then proves it expressly. For several decades Dalai Lama has been undertaking active efforts to facilitate the dialogue between science and spirituality. Recently Russian scholars have also joined this process. By Dalai Lama’s initiative two big conferences were held under the aegis of the program “Fundamental knowledge: dialogues of Russian and Buddhist scholars”. As a result of these meetings the joint Russian and Buddhist research center was organized in South India to study the altered states of conciseness, basing on various types of Buddhist meditation.


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