scholarly journals A Note on a Modified Cournot-Puu Duopoly

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Jose S. Cánovas

The aim of this paper is to analyze a classical duopoly model introduced by Puu in 1991 when lower bounds for productions are added to the model. In particular, we prove that the complexity of the modified model is smaller than or equal to the complexity of the seminal one by comparing their topological entropies. We also discuss whether the dynamical complexity of the new model is physically observable.

2021 ◽  
pp. 1-10
Author(s):  
Weichen Zhang ◽  
Qiuna Du ◽  
Jing Xiao ◽  
Zhaori Bi ◽  
Chen Yu ◽  
...  

<b><i>Background:</i></b> Our research group has previously reported a noninvasive model that estimates phosphate removal within a 4-h hemodialysis (HD) treatment. The aim of this study was to modify the original model and validate the accuracy of the new model of phosphate removal for HD and hemodiafiltration (HDF) treatment. <b><i>Methods:</i></b> A total of 109 HD patients from 3 HD centers were enrolled. The actual phosphate removal amount was calculated using the area under the dialysate phosphate concentration time curve. Model modification was executed using second-order multivariable polynomial regression analysis to obtain a new parameter for dialyzer phosphate clearance. Bias, precision, and accuracy were measured in the internal and external validation to determine the performance of the modified model. <b><i>Results:</i></b> Mean age of the enrolled patients was 63 ± 12 years, and 67 (61.5%) were male. Phosphate removal was 19.06 ± 8.12 mmol and 17.38 ± 6.75 mmol in 4-h HD and HDF treatments, respectively, with no significant difference. The modified phosphate removal model was expressed as Tpo<sub>4</sub> = 80.3 × <i>C</i><sub>45</sub> − 0.024 × age + 0.07 × weight + β × clearance − 8.14 (β = 6.231 × 10<sup>−3</sup> × clearance − 1.886 × 10<sup>−5</sup> × clearance<sup>2</sup> – 0.467), where <i>C</i><sub>45</sub> was the phosphate concentration in the spent dialysate measured at the 45th minute of HD and clearance was the phosphate clearance of the dialyzer. Internal validation indicated that the new model was superior to the original model with a significantly smaller bias and higher accuracy. External validation showed that <i>R</i><sup>2</sup>, bias, and accuracy were not significantly different than those of internal validation. <b><i>Conclusions:</i></b> A new model was generated to quantify phosphate removal by 4-h HD and HDF with a dialyzer surface area of 1.3–1.8 m<sup>2</sup>. This modified model would contribute to the evaluation of phosphate balance and individualized therapy of hyperphosphatemia.


2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Jose S. Cánovas ◽  
David López Medina

The aim of this paper is to analyze a classical duopoly model introduced by Tönu Puu in 1991. For that, we compute the topological entropy of the model and characterize those parameter values with positive entropy. Although topological entropy is a measure of the dynamical complexity of the model, we will show that such complexity could not be observed.


2018 ◽  
Vol 2018 (4) ◽  
pp. 59-78
Author(s):  
Sergey Volodin ◽  
Irina Borenko

In this article the authors consider different strategies related to the high-dividend portfolio investing. The paper provides the examination of the theoretical aspects, methodology and the evolution of the formation of high-dividend models. The author studies the range of classic highdividend portfolios, including a traditional version of the «Dogs of the Dow» strategy, and test it on the Russian stock market (2006-2016). The obtained results confirm the efficiency of this direction of investment. In order to increase the level of returns of high-dividend investing, the authors add into the model two filters on the financial performance P/E and ROA. As shown by calculations, the new model allows to achieve significantly higher results in comparison with the classical version. The following research demonstrates an advantage of the new model in comparison with the returns of the overall market (index strategy “buy and hold”) and in comparison with investing in mutual funds and deposits. The obtained results are meaningful and confirmed by the analysis of the risk and return coefficients, suggesting the possibility of their practical application. The modified model is also able to complement the theoretical concept of high-dividend investment and to eliminate the basic shortcomings inherent in the classical model.


2018 ◽  
Vol 29 (02) ◽  
pp. 187-211
Author(s):  
Maria Paola Bianchi ◽  
Juraj Hromkovič ◽  
Ivan Kováč

The existence of a substantial gap between deterministic and nondeterministic two-way automata is one of the most famous open problems in automata theory. This problem is also related to the fundamental DLOG vs. NLOG question. An exponential gap between the number of states of two-way nondeterministic automata (2NFAS) and their deterministic counterparts (2DFAS) has been proved only for some restrictions of 2DFAS up to now. It seems that the hardness of this problem lies in the fact that, when trying to prove lower bounds, we must consider every possible automaton, without imposing any particular structure or meaning to the states, while when designing a specific automaton, we always assign an unambiguous interpretation to the states. In an attempt to capture the concept of meaning of states, a new model of two-way automata, namely reasonable automaton (RA), was introduced in [6]. In a RA, each state is associated with a logical formula expressing some properties of the input word, and transitions are designed to maintain consistency within this setting. In this paper we extend the study, started in [6], of the descriptional complexity of RAS solving the liveness problem, showing several lower and upper bounds with respect to the logic used for describing the meaning of the individual states.


1988 ◽  
Vol 03 (17) ◽  
pp. 1725-1732 ◽  
Author(s):  
A.P. BALACHANDRAN ◽  
M.J. BOWICK ◽  
K.S. GUPTA ◽  
A.M. SRIVASTAVA

Recently, it has been shown that the strong coupling limit of the half-filled Hubbard model has SU(2) gauge invariance. The 2+1-dimensional nonlinear a model with the customary θ term does not have this symmetry — instead it has a U(1) gauge symmetry. A modification of the θ term is suggested so that the model acquires SU(2) — or rather SO(3) —gauge symmetry. The symmetries of this modified model thus resemble more closely those of the strongly coupled half-filled Hubbard model. Gauge invariance of the new model, unlike that of the U(1) model, requires quantization of the angle θ. The allowed θ values are mπ/2 ( mod 2π) with m an integer. Hence the allowed soliton spins are m/4 (m∈Z) while their statistics are governed by their spins in the usual way.


Author(s):  
H. Akabori ◽  
K. Nishiwaki ◽  
K. Yoneta

By improving the predecessor Model HS- 7 electron microscope for the purpose of easier operation, we have recently completed new Model HS-8 electron microscope featuring higher performance and ease of operation.


2005 ◽  
Vol 173 (4S) ◽  
pp. 140-141
Author(s):  
Mariana Lima ◽  
Celso D. Ramos ◽  
Sérgio Q. Brunetto ◽  
Marcelo Lopes de Lima ◽  
Carla R.M. Sansana ◽  
...  

Author(s):  
Thorsten Meiser

Stochastic dependence among cognitive processes can be modeled in different ways, and the family of multinomial processing tree models provides a flexible framework for analyzing stochastic dependence among discrete cognitive states. This article presents a multinomial model of multidimensional source recognition that specifies stochastic dependence by a parameter for the joint retrieval of multiple source attributes together with parameters for stochastically independent retrieval. The new model is equivalent to a previous multinomial model of multidimensional source memory for a subset of the parameter space. An empirical application illustrates the advantages of the new multinomial model of joint source recognition. The new model allows for a direct comparison of joint source retrieval across conditions, it avoids statistical problems due to inflated confidence intervals and does not imply a conceptual imbalance between source dimensions. Model selection criteria that take model complexity into account corroborate the new model of joint source recognition.


1986 ◽  
Vol 31 (2) ◽  
pp. 108-109
Author(s):  
Alexandra G. Kaplan
Keyword(s):  

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