Looking Forward Approach in Cooperative Differential Games

2016 ◽  
Vol 18 (02) ◽  
pp. 1640007 ◽  
Author(s):  
Petrosian Ovanes
Keyword(s):  
Differential Games ◽  
Fixed Time ◽  
Time Instant ◽  
Time Interval ◽  
New Approach ◽  
Game Dynamics ◽  
Motion Equations ◽  
Payoff Functions ◽  
Definition Of ◽  
Cooperative Differential Games

New approach to the definition of solution in cooperative differential games is considered. The approach is based on artificially truncated information about the game. It assumed that at each time, instant players have information about the structure of the game (payoff functions, motion equations) only for the next fixed time interval. Based on this information they make the decision. Looking Forward Approach is applied to the cases when the players are not sure about the dynamics of the game on the whole time interval [Formula: see text] and orient themselves on the game dynamics defined on the smaller time interval [Formula: see text] ([Formula: see text]), on which they surely know that the game dynamics is not changing.

scholarly journals Looking forward approach with random horizon in cooperative differential games

2020 ◽  
Vol 13 ◽  
pp. 360-387
Author(s):  
Ovanes Petrosian ◽  
◽  
Sergei Pogozhev ◽  
◽  
Keyword(s):  
Dynamical System ◽  
Differential Games ◽  
Random Variable ◽  
Theoretical Models ◽  
Time Instant ◽  
Payoff Function ◽  
Time Interval ◽  
New Approach ◽  
Random Horizon ◽  
Resource Extraction Game

In the paper authors present a new approach to determination and computation of a solution for differential games with prescribed duration in the case when players lack certain information about the dynamical system and payoff function on the whole time interval on which the game is played. At each time instant players receive information about dynamical system and payoff functions, however the duration of the period of this information is unknown and can be represented as a random variable with known parameters. At certain periods of time the information is updated. A novel solution is described as a combination of imputation sets in the truncated subgames that are analyzed using Looking Forward Approach with random horizon. A resource extraction game serves as an illustration in order to compare a cooperative trajectory, imputations, and imputation distribution procedure in the game with Looking Forward Approach and in the original game with prescribed duration. Looking Forward Approach is used for constructing game theoretical models and defining solutions for conflict-controlled processes where information about the process updates dynamically.

scholarly journals EXPRESS MONITORING OF THE MAIN PARAMETERS OF CLOUDS FROM THE EARTH’S SURFACE

2019 ◽  
Vol 46 (3) ◽  
pp. 116-128
Author(s):  
A. G. Yakunin
Keyword(s):  
Cloud Cover ◽  
Minimum Cost ◽  
Fixed Time ◽  
Time Interval ◽  
Weather Forecasts ◽  
Key Points ◽  
Web Camera ◽  
Definition Of ◽  
Empirical Coefficients ◽  
Official Sources

Objectives The paper proposes a technique that allows the main types of clouds and cloud cover parameters (ceiling, direction and speed of cloud movement) to be determined at minimum cost via observations from the Earth’s surface. The aim is to avoid using meteorological information derived from official sources, which may not always be available for a specific place and time of observation.Method The method is based on the well-known Ippolitov formula that connects air humidity on the Earth’s surface with the cloud ceiling, whose empirical coefficients depend on the type of the cloud cover. In order to determine this type, a method based on elliptic cloud contour approximation is proposed.Results Additional classification features were the number of approximating ellipses in the image frame, the proximity of their mutual location, the total area that they occupy in the frame and the area occupied by the largest ellipse. The speed and direction of the clouds are determined through shifting the common key points in image frames obtained over a small fixed time interval. Each point is described by a descriptor calculated using the SURF method from the open image processing library OpenCV.Conclusion Despite the simplicity of the required software and hardware (web camera, humidity sensor, and OEM – Arduino module), this method provides a definition of these parameters with an error within 20%. Monitoring systems based on this method may be used in private automatic weather stations, such as the Wunderground, for obtaining more information that could improve the accuracy of weather forecasts, as well as for research in meteorology and climatology. 

scholarly journals Collision Prediction: Conservative Advancement Among Obstacles With Unknown Motion

2014 ◽  
Author(s):  
Yanyan Lu ◽  
Zhonghua Xi ◽  
Jyh-Ming Lien
Keyword(s):  
Success Rate ◽  
Collision Detection ◽  
Fixed Time ◽  
Experimental Results ◽  
Time Interval ◽  
Collision Time ◽  
New Approach ◽  
Fixed Time Interval ◽  
Collision Prediction

Collision detection is a fundamental geometric tool for sampling-based motion planners. On the contrary, collision prediction for the scenarios that obstacle’s motion is unknown is still in its infancy. This paper proposes a new approach to predict collision by assuming that obstacles are adversarial. Our new tool advances collision prediction beyond the translational and disc robots; arbitrary polygons with rotation can be used to better represent obstacles and provide tighter bound on predicted collision time. Comparing to an online motion planner that replans periodically at fixed time interval, our experimental results provide strong evidences that our method significantly reduces the number of re-plannings while maintaining higher success rate of finding a valid path.

scholarly journals Transferable Utility Cooperative Differential Games with Continuous Updating Using Pontryagin Maximum Principle

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 163
Author(s):  
Jiangjing Zhou ◽  
Anna Tur ◽  
Ovanes Petrosian ◽  
Hongwei Gao
Keyword(s):  
Maximum Principle ◽  
Differential Games ◽  
Differential Game ◽  
Pontryagin Maximum Principle ◽  
Characteristic Functions ◽  
Time Interval ◽  
Cooperative Strategies ◽  
Shapley Values ◽  
Time Inconsistent ◽  
Cooperative Differential Games

We consider a class of cooperative differential games with continuous updating making use of the Pontryagin maximum principle. It is assumed that at each moment, players have or use information about the game structure defined in a closed time interval of a fixed duration. Over time, information about the game structure will be updated. The subject of the current paper is to construct players’ cooperative strategies, their cooperative trajectory, the characteristic function, and the cooperative solution for this class of differential games with continuous updating, particularly by using Pontryagin’s maximum principle as the optimality conditions. In order to demonstrate this method’s novelty, we propose to compare cooperative strategies, trajectories, characteristic functions, and corresponding Shapley values for a classic (initial) differential game and a differential game with continuous updating. Our approach provides a means of more profound modeling of conflict controlled processes. In a particular example, we demonstrate that players’ behavior is braver at the beginning of the game with continuous updating because they lack the information for the whole game, and they are “intrinsically time-inconsistent”. In contrast, in the initial model, the players are more cautious, which implies they dare not emit too much pollution at first.

Seeing, imagined, and lived

2020 ◽  
Vol 3 (2) ◽  
Author(s):  
Anandi Silva Knuppel
Keyword(s):  
Sensory Experience ◽  
Religious Practices ◽  
Daily Lives ◽  
New Approach ◽  
Theories Of Practice ◽  
Sources Of Authority ◽  
Definition Of

Scholarship on Hindu traditions and practices proposes the practice of darshan as fundamental to Hindu traditions, particularly in temple worship, observing that devotees seek out images of deities primarily to see them and “receive” their darshan. These works typically gloss the definition of darshan with a sentence or two about seeing, exchanging glances, and/or receiving blessings. In this paper, I focus on the ways in which darshan is ideally imagined in conjunction with other bodily sensory practices through sources of authority, such as texts and senior devotees, to create a specific sensory experience and expectation in the transnational Gaudiya Vaishnava community. I then look to the lived realitiesof darshan in this tradition, specifically how devotees negotiate the structures created through sources of authority in their daily lives. Through this juxtaposition of idealized and lived darshan, I argue that we need a new approach towards theories of practice to take into account the complexities of darshanic moments in this and other religious practices.

Utilization of remote sensing for estimation of scale of cutting and growing of forest zones

2017 ◽  
Vol 920 (2) ◽  
pp. 57-60
Author(s):  
F.E. Guliyeva
Keyword(s):  
Remote Sensing ◽  
Fixed Time ◽  
Time Interval ◽  
Time Points ◽  
Average Value ◽  
Time Period ◽  
Remote Estimation ◽  
The Given ◽  
Forest Cutting

The study of results of relevant works on remote sensing of forests has shown that the known methods of remote estimation of forest cuts and growth don’t allow to calculate the objective average value of forests cut volume during the fixed time period. The existing mathematical estimates are not monotonous and make it possible to estimate primitively the scale of cutting by computing the ratio of data in two fixed time points. In the article the extreme properties of the considered estimates for deforestation and reforestation models are researched. The extreme features of integrated averaged values of given estimates upon limitations applied on variables, characterizing the deforestation and reforestation processes are studied. The integrated parameter, making it possible to calculate the averaged value of estimates of forest cutting, computed for all fixed time period with a fixed step is suggested. It is shown mathematically that the given estimate has a monotonous feature in regard of value of given time interval and make it possible to evaluate objectively the scales of forest cutting.

scholarly journals Determination of the order of fractional derivative for subdiffusion equations

2020 ◽  
Vol 23 (6) ◽  
pp. 1647-1662
Author(s):  
Ravshan Ashurov ◽  
Sabir Umarov
Keyword(s):  
Fractional Derivative ◽  
Fixed Time ◽  
Time Instant ◽  
Observation Data ◽  
Additional Information ◽  
Fractional Modeling ◽  
Time Fractional Derivative ◽  
The Right ◽  
Right Order

Abstract The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation with an arbitrary second order elliptic differential operator. We prove that the additional information about the solution at a fixed time instant at a monitoring location, as “the observation data”, identifies uniquely the order of the fractional derivative.

Coercive Persuasion As a Specific Type of Violence in Criminal Law

2020 ◽  
Vol 1 (1) ◽  
pp. 61-72
Author(s):  
Carlos Bardavío Antón
Keyword(s):  
Criminal Law ◽  
Comparative Law ◽  
Third Parties ◽  
Physical Injury ◽  
Comprehensive Understanding ◽  
Legal Doctrine ◽  
New Approach ◽  
Freedom Of Will ◽  
Definition Of ◽  
Regulatory Problems

The field of cults, and that of destructive or coercive cults in particular, has received little attention from the perspective of criminal law doctrine. Supporters of such groups often claim to be victims of a violation related to freedom of will. In this article, I consider various methodologies and manipulation techniques used by such groups and suggest that comparative law, criminal definitions, and regulatory problems provide the basis for a more comprehensive understanding of criminal phenomenology that includes these concerns: the loss of freedom through coercive persuasion, and thus being the victim of a crime, or through becoming an instrument for the commission of crimes ordered by third parties. Research shows that the conventional definition of crime against freedom of will and physical injury is inadequate. I posit that a new approach to legal doctrine and criminal classification is required to fight against new crime phenomenology. I propose a criminal classification aimed at considering coercive persuasion as a crime, and a definition for the criminalization of certain organizations that engage in willful misconduct or reckless conduct.

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