scholarly journals Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 165
Author(s):  
Ekaterina Gromova ◽  
Anastasiya Malakhova ◽  
Arsen Palestini
Keyword(s):  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Resource Extraction ◽  
Optimal Trajectories ◽  
Game Model ◽  
Nonrenewable Resource ◽  
Final Time ◽  
Differential Game Theory ◽  
Resource Extraction Game ◽  
Theory Framework

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.

scholarly journals Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

2018 ◽  
Author(s):  
Ekaterina Gromova ◽  
Anastasiya Malakhova ◽  
Arsen Palestini
Keyword(s):  
Game Theory ◽  
Resource Extraction ◽  
Optimal Trajectories ◽  
Game Model ◽  
Initial Instant ◽  
Nonrenewable Resource ◽  
Final Time ◽  
Differential Game Theory ◽  
Resource Extraction Game ◽  
Theory Framework

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the c.d.f. of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.

DISSONANCE — A MEASURE OF VARIABILITY FOR ORDINAL RANDOM VARIABLES

2001 ◽  
Vol 09 (01) ◽  
pp. 39-53 ◽  
Author(s):  
RONALD R. YAGER
Keyword(s):  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Probability Distributions ◽  
Random Variables ◽  
Cumulative Distribution ◽  
General Properties

We look at the issue of obtaining a variance like measure associated with probability distributions over ordinal sets. We call these dissonance measures. We specify some general properties desired in these dissonance measures. The centrality of the cumulative distribution function in formulating the concept of dissonance is pointed out. We introduce some specific examples of measures of dissonance.

Estimating the cumulative distribution function for the linear combination of gamma random variables

2017 ◽  
Vol 20 (5) ◽  
pp. 939-951
Author(s):  
Amal Almarwani ◽  
Bashair Aljohani ◽  
Rasha Almutairi ◽  
Nada Albalawi ◽  
Alya O. Al Mutairi
Keyword(s):  
Distribution Function ◽  
Linear Combination ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Cumulative Distribution
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