scholarly journals A Bayesian Level-k Model in n-Person Games

2020 ◽  
Author(s):  
Teck-Hua Ho ◽  
So-Eun Park ◽  
Xuanming Su

In standard models of iterative thinking, players choose a fixed rule level from a fixed rule hierarchy. Nonequilibrium behavior emerges when players do not perform enough thinking steps. Existing approaches, however, are inherently static. This paper introduces a Bayesian level-k model, in which level-0 players adjust their actions in response to historical game play, whereas higher-level thinkers update their beliefs on opponents’ rule levels and best respond with different rule levels over time. As a consequence, players choose a dynamic rule level (i.e., sophisticated learning) from a varying rule hierarchy (i.e., adaptive learning). We apply our model to existing experimental data on three distinct games: the p-beauty contest, Cournot oligopoly, and private-value auction. We find that both types of learning are significant in p-beauty contest games, but only adaptive learning is significant in the Cournot oligopoly, and only sophisticated learning is significant in the private-value auction. We conclude that it is useful to have a unified framework that incorporates both types of learning to explain dynamic choice behavior across different settings. This paper was accepted by Manel Baucells, decision analysis.

2021 ◽  
Vol 4 (164) ◽  
pp. 71-76
Author(s):  
A. Batrakova ◽  
H. Sarkisian ◽  
E. Zakharova

To ensure safe, comfortable driving at high speeds, a strong, even surface is required for the entire life of the pavement. In this regard, the issue of predicting changes in the equality of coverage over time is very important. The article considers the peculiarities of changing the longitudinal equality of the road surface. Purpose is to improve the model of forecasting the equality of non-rigid pavement. Methods – analytical and experimental. The analysis of existing decisions on the issue of forecasting the equality of coverage is performed. The most important factors influencing the change in the equality of road coverage have been identified. Based on the analysis of theoretical models and a number of experimental data, an improved model for predicting the equality of coverage of non-rigid pavement is proposed. MathCAD and MS Excel were involved in the development of an improved model that takes into account the most important factors. The model of change of coverage roughness, where increase in the roughness index over time is considered as a function of such parameters, is improved: the modulus of pavement elasticity (actual or required); the number of load cycles for t years of pavement operation; the share of trucks in the traffic flow; the factor of safety margin of the pavement structure. The adequacy of the developed model of changing the roughness of coverage is confirmed by statistical processing of experimental data obtained by the thesis author and other researchers on public roads with different service life, and calculated data under the theoretical model. The Pearson correlation coefficient between experimental and calculated data is more than 0.95, which indicates the adequacy of the developed model. Compared to the well-known models of forecasting coverage roughness, the improved model allows to apply a wider range of values of the general equivalent modulus of elasticity of pavement design (from 100 MPa to 600 MPa) and to receive forecast values of roughness for service life of non-rigid pavement over 5 years.


2020 ◽  
pp. 74-77
Author(s):  
Mikhail Gennadievich Zagoruyko ◽  
Sergey Anatolyevich Pavlov

The grain masses of the first and subsequent batches, the equivalent coefficient of the dead gap of the air distribution system are calculated, the expressions for calculating the air flow for these batches and the experimental data on the change in moisture and temperature of the grain over time are given.


1993 ◽  
Vol 115 (4) ◽  
pp. 404-409 ◽  
Author(s):  
Shrikar Bhagath ◽  
Michael G. Pecht

This paper presents the development of an initial, “first-cut”, mathematical model for the prediction of electrical interface reliability trends. The model pertains to gold plated contacts subject to loss of normal force and environmental corrosion with time. Stress relaxation over time and temperature in the base metal of the contact is accounted for. Utilizing the results of Mixed Flowing Gas (MFG) tests, the model can be used to estimate the statistical contact resistance at a particular load (normal force), aging and operating temperature in the class II and III environments. An attempt is made to correlate experimental data with the classical Holm’s equation and to introduce time dependence into the equation. Further work is proposed to correlate results with experimental connector performance data.


1987 ◽  
Vol 103 ◽  
Author(s):  
Brian W. Dodson ◽  
I. J. Fritz ◽  
S. Thomas Picraux ◽  
Jeffrey Y. Tsao

ABSTRACTThe physics governing stability properties and relaxation of mismatch strain in semiconductor strained-layer structures is reviewed. Experimental data on stability and rates of strain relaxation are examined. We conclude that essentially all observations on structural relaxation of semiconductor strained-layer structures can be explained by standard models of plastic deformation adapted to the special conditions controlling dislocation dynamics in these structures.


2020 ◽  
Author(s):  
Janosch Ortmann ◽  
Ladislav Rampášek ◽  
Elijah Tai ◽  
Arvind Singh Mer ◽  
Ruoshi Shi ◽  
...  

AbstractQuantifying response to drug treatment in mouse models of human cancer is important for treatment development and assignment, and yet remains a challenging task. A preferred measure to quantify this response should take into account as much of the experimental data as possible, i.e. both tumor size over time and the variation among replicates. We propose a theoretically grounded measure, KuLGaP, to compute the difference between the treatment and control arms. KuLGaP is more selective than currently existing measures, reduces the risk of false positive calls and improves translation of the lab results to clinical practice.


Author(s):  
Neveen B. Abd El-Mageed ◽  
Muhammad A. Abdul-Muttalib ◽  
Yasmen A. Heiba

The aim of this research was to simulate the brine disposal fate within an aquifer. The Visual MODFLOW numerical code was used to predict the salt concentration emigration over time in an aquifer. The model was calibrated using laboratory experimental data. The model results revealed that there is an acceptable agreement between the observed and simulated data.


2020 ◽  
Author(s):  
Dayna Mercadante ◽  
Amity Manning ◽  
Sarah Olson

AbstractProper formation and maintenance of the mitotic spindle is required for faithful cell division. While much work has been done to understand the roles of the key force components of the mitotic spindle, identifying the consequences of force perturbations in the spindle remains a challenge. We develop a computational framework accounting for the minimal force requirements of mitotic progression. To reflect early spindle formation, we account for microtubule dynamics and interactions with major force-generating motors, excluding chromosome interactions that dominate later in mitosis. We directly integrate our experimental data to define and validate the model, and then use simulations to analyze individual force components over time and their relationship to spindle dynamics, making it distinct from previously published models. Rather than achieving and maintaining a constant bipolar spindle length, oscillations in pole to pole distance occur that coincide with microtubule binding and force generation by cortical dynein. In the context of high kinesin-14 (HSET) activity, we identify the requirement of high cortical dynein activity for bipolar spindle formation.


Electronics ◽  
2021 ◽  
Vol 10 (18) ◽  
pp. 2316
Author(s):  
Quang Van Vu ◽  
Tuan Anh Dinh ◽  
Thien Van Nguyen ◽  
Hoang Viet Tran ◽  
Hai Xuan Le ◽  
...  

The paper addresses a problem of efficiently controlling an autonomous underwater vehicle (AUV), where its typical underactuated model is considered. Due to critical uncertainties and nonlinearities in the system caused by unavoidable external disturbances such as ocean currents when it operates, it is paramount to robustly maintain motions of the vehicle over time as expected. Therefore, it is proposed to employ the hierarchical sliding mode control technique to design the closed-loop control scheme for the device. However, exactly determining parameters of the AUV control system is impractical since its nonlinearities and external disturbances can vary those parameters over time. Thus, it is proposed to exploit neural networks to develop an adaptive learning mechanism that allows the system to learn its parameters adaptively. More importantly, stability of the AUV system controlled by the proposed approach is theoretically proved to be guaranteed by the use of the Lyapunov theory. Effectiveness of the proposed control scheme was verified by the experiments implemented in a synthetic environment, where the obtained results are highly promising.


Author(s):  
Kan Long ◽  
George Bonanno

Potential trauma is common across the life span. Responses to these highly aversive events vary significantly, yet many individuals will demonstrate psychological resilience and a clear pattern of psychological health and adaptive functioning in the wake of extreme adversity. Amid expanding conceptual diversity and a proliferation of research, we present a novel, unified framework for resilience that consists of four constituent, temporally related elements: baseline or preadversity functioning, the actual aversive circumstances, postadversity resilient outcomes, and predictors of resilient outcomes. The temporal framework integrates and extends several existing lines of research by conceptualizing resilience as a process that unfolds over time with each temporal element playing an essential role.


2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Camilla Ferretti ◽  
Piero Ganugi ◽  
Gabriele Pisano ◽  
Francesco Zammori

This work tackles the problem of finding a suitable statistical model to describe relevant glass properties, such as the strength under tensile stress. As known, glass is a brittle material, whose strength is strictly related to the presence of microcracks on its surface. The main issue is that the number of cracks, their size, and orientation are of random nature, and they may even change over time, due to abrasion phenomena. Consequently, glass strength should be statistically treated, but unfortunately none of the known probability distributions properly fit experimental data, when measured on abraded and/or aged glass panes. Owing to these issues, this paper proposes an innovative method to analyze the statistical properties of glass. The method takes advantage of the change of variable theorem and uses an ad-hoc transforming function to properly account for the distortion, on the original probability distribution of the glass strength, induced by the abrasion process. The adopted transforming function is based on micromechanical theory, and it provides an optimal fit of the experimental data.


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