On some impulse control problems with concave costs

Author(s):  
A. Bensoussan ◽  
J. Proth
Author(s):  
Michael Vaughn ◽  
Christopher Salas-Wright ◽  
Sandra Naeger ◽  
Jin Huang ◽  
Alex Piquero

CNS Spectrums ◽  
2018 ◽  
Vol 24 (04) ◽  
pp. 426-440 ◽  
Author(s):  
Jeggan Tiego ◽  
Sanne Oostermeijer ◽  
Luisa Prochazkova ◽  
Linden Parkes ◽  
Andrew Dawson ◽  
...  

ObjectiveImpulsivity and compulsivity have been implicated as important transdiagnostic dimensional phenotypes with potential relevance to addiction. We aimed to develop a model that conceptualizes these constructs as overlapping dimensional phenotypes and test whether different components of this model explain the co-occurrence of addictive and related behaviors.MethodsA large sample of adults (N = 487) was recruited through Amazon’s Mechanical Turk and completed self-report questionnaires measuring impulsivity, intolerance of uncertainty, obsessive beliefs, and the severity of 6 addictive and related behaviors. Hierarchical clustering was used to organize addictive behaviors into homogenous groups reflecting their co-occurrence. Structural equation modeling was used to evaluate fit of the hypothesized bifactor model of impulsivity and compulsivity and determine the proportion of variance explained in the co-occurrence of addictive and related behaviors by each component of the model.ResultsAddictive and related behaviors clustered into 2 distinct groups: Impulse-Control Problems, consisting of harmful alcohol use, pathological gambling, and compulsive buying, and Obsessive-Compulsive-Related Problems, consisting of obsessive-compulsive symptoms, binge eating, and internet addiction. The hypothesized bifactor model of impulsivity and compulsivity provided the best empirical fit, with 3 uncorrelated factors corresponding to a general Disinhibition dimension, and specific Impulsivity and Compulsivity dimensions. These dimensional phenotypes uniquely and additively explained 39.9% and 68.7% of the total variance in Impulse-Control Problems and Obsessive-Compulsive-Related Problems.ConclusionA model of impulsivity and compulsivity that represents these constructs as overlapping dimensional phenotypes has important implications for understanding addictive and related behaviors in terms of shared etiology, comorbidity, and potential transdiagnostic treatments.


2011 ◽  
Vol 72 (10) ◽  
pp. 2188-2195 ◽  
Author(s):  
E. V. Goncharova ◽  
M. V. Staritsyn

2017 ◽  
Vol 49 (1) ◽  
pp. 238-257 ◽  
Author(s):  
Sören Christensen ◽  
Paavo Salminen

Abstract We consider a class of impulse control problems for general underlying strong Markov processes on the real line, which allows for an explicit solution. The optimal impulse times are shown to be of a threshold type and the optimal threshold is characterised as a solution of a (typically nonlinear) equation. The main ingredient we use is a representation result for excessive functions in terms of expected suprema.


2017 ◽  
Vol 55 (2) ◽  
pp. 627-649 ◽  
Author(s):  
Christoph Belak ◽  
Sören Christensen ◽  
Frank Thomas Seifried

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