scholarly journals A Comparative Study on Two Person Zero Sum Game Problems Through Computer Algebra

2017 ◽  
Vol 65 (1) ◽  
pp. 1-7
Author(s):  
HK Das

This paper improves a game theoretic algorithm and develops its computer oriented program using MATHEMATICA for solving two person zero sum game problems. The algorithm and computer algebra are drawn upon mainly from two sources, namely the papers H. K. Das, Saha and Hasan5; H. K. Das and Hasan6 being able to solve two person zero sum game problems with single payoff elements. We do a comparative study of the current algorithm and computer technique with the papers5, 6. We show that the current technique is better than the papers5, 6 in saving labor and time for solving two person game problems by analyzing a number of numerical examples. Dhaka Univ. J. Sci. 65(1): 1-7, 2017 (January)

2015 ◽  
Vol 17 (02) ◽  
pp. 1540015 ◽  
Author(s):  
T. E. S. Raghavan

Mathematical foundations of conflict resolutions are deeply rooted in the theory of cooperative and non-cooperative games. While many elementary models of conflicts are formalized, one often raises the question whether game theory and its mathematically developed tools are applicable to actual legal disputes in practice. We choose an example from union management conflict on hourly wage dispute and how zero sum two person game theory can be used by a judge to bring about the need for realistic compromises between the two parties. We choose another example from the 2000-year old Babylonian Talmud to describe how a certain debt problem was resolved. While they may be unaware of cooperative game theory, their solution methods are fully consistent with the solution concept called the nucleolus of a TU game.


2020 ◽  
Vol 21 (2) ◽  
pp. 105-110
Author(s):  
Md Shawkat Alam ◽  
Sudip Das Gupta ◽  
Hadi Zia Uddin Ahmed ◽  
Md Saruar Alam ◽  
Sharif Muhammod Wasimuddin

Objective: To compare the clean intermittent self-catheterization (CISC) with continuous indwelling catheterization (CIDC) in relieving acute urinary retention (AUR) due to benign enlargement of prostate (BEP). Materials and Methods :A total 60 patients attending in urology department of Dhaka Medical college hospital were included according to inclusion criteria ,Patients were randomized by lottery into two groups namely group –A and group –B for CISC and IDC drainage respectively . Thus total 60 patients 30 in each group completed study. Results : Most men can safely be managed as out-patients after AUR due to BPH. The degree of mucosal congestion and inflammation within the bladder was found to be lower in those using CISC and the bladder capacity in these patients was also found higher.Patients with an IDC had a high incidence of UTIs then that of patients with CISC. During the period of catheterization the incidence of UTI was 43.3% in group B in comparison to 40% in group A; before TURP 36% in group B in comparison to 10% incidence in group A.According to patient’s opinion CISC is better than IDC in the management of AUR. Experiencing bladder spasm, reporting blood in urine, management difficulties, incidence and severity of pain were less in CISC group, and the method of CISC was well accepted by patients as well as their family members. Conclusion: From the current study it may be suggested that CISC is better technique for management of AUR patient due to BPH than IDC. It can also be very helpful when surgery must be delayed or avoided due to any reasons in this group of patients. Bangladesh Journal of Urology, Vol. 21, No. 2, July 2018 p.105-110


2019 ◽  
Vol 17 (1) ◽  
pp. 1599-1614
Author(s):  
Zhiwu Hou ◽  
Xia Jing ◽  
Lei Gao

Abstract A new error bound for the linear complementarity problem (LCP) of Σ-SDD matrices is given, which depends only on the entries of the involved matrices. Numerical examples are given to show that the new bound is better than that provided by García-Esnaola and Peña [Linear Algebra Appl., 2013, 438, 1339–1446] in some cases. Based on the obtained results, we also give an error bound for the LCP of SB-matrices. It is proved that the new bound is sharper than that provided by Dai et al. [Numer. Algor., 2012, 61, 121–139] under certain assumptions.


2011 ◽  
Vol 15 (3) ◽  
pp. 905-910 ◽  
Author(s):  
Mariana Hristova ◽  
Dimitar Damgaliev ◽  
Jordan Hristov

Simple data correlation of flashpoint data of binary mixture has been developed on a basic of rational reciprocal function. The new approximation requires has only two coefficients and needs the flashpoint temperature of the pure flammable component to be known. The approximation has been tested by literature data concerning aqueous-alcohol solution and compared to calculations performed by several thermodynamic models predicting flashpoint temperatures. The suggested approximation provides accuracy comparable and to some extent better than that of the thermodynamic methods.


2014 ◽  
Vol 1 (2) ◽  
Author(s):  
Ramesh O. Prajapati

Aim of the research is to find out the Work value among married and unmarried person’s. So investigator selected two groups one is married and other is unmarried persons, both groups have 200 persons. In one group has 113 married and other one groups has 87 unmarried persons. The all subjects were randomly selected. Data were collected from Ahmadabad district. Scale was use for data collection is personal datasheet and Work value scale developed by super (1970) and this scale was translated into Gujarati by Jalawadiya (2002), and data were analysis by ‘t’ test. Result show, There is no significant mean difference of Work value between married and unmarried persons. There is no significant difference of the Work value of joint and nuclear families. The high income persons work value is better than the low incomes.


Author(s):  
H. K. Das

This paper develops a decompose procedure for finding the optimal solution of convex and concave Quadratic Programming (QP) problems together with general Non-linear Programming (NLP) problems. The paper also develops a sophisticated computer technique corresponding to the author's algorithm using programming language MATHEMATICA. As for auxiliary by making comparison, the author introduces a computer-oriented technique of the traditional Karush-Kuhn-Tucker (KKT) method and Lagrange method for solving NLP problems. He then modify the Sander's algorithm and develop a new computational technique to evaluate the performance of the Sander's algorithm for solving NLP problems. The author observe that the technique avoids some certain numerical difficulties in NLP and QP. He illustrates a number of numerical examples to demonstrate his method and the modified algorithm.


1991 ◽  
Vol 54 (9) ◽  
pp. 669-676 ◽  
Author(s):  
DONALD W. WARBURTON ◽  
JEFFREY M. FARBER ◽  
ANDREW ARMSTRONG ◽  
RICARDO CALDEIRA ◽  
NARAYAN P. TIWARI ◽  
...  

Eleven laboratories across Canada took part in a comparative study of modified versions of the “FDA” and “USDA” methods for the detection of Listeria monocytogenes in foods and environmental samples. Both were modified by the inclusion of additional plating media and the use of modified Fraser broth in the modified “FDA” method. Approximately 92% of the positive samples were detected after 24 h of enrichment. Testing of routine samples by the participating laboratories showed no significant difference (p<0.05) in ability to isolate L. monocytogenes by either the modified “FDA” or “USDA” methods. However, the modified “FDA” method isolated significantly more positives (16.8%) from the spiked foods/controls than the modified “USDA” method (p<0.05). For all samples tested by both methods in the same laboratory, again the modified “FDA” method significantly out performed the “USDA” version by approximately 6% (p<0.05). However, the spiked foods/controls tested by both methods in the same laboratory showed no difference (p<0.05) in their ability to isolate L. monocytogenes. Overall, the modified “FDA” and “USDA” methods were comparable (within 1.0%) in their ability to isolate this microorganism. The “USDA” preenrichment broth maintained its initial pHbetter. Modified Fraser broth, in principle, proved to be useful as a screening tool but is not very selective. Oxford agar proved to be marginally better than lithium chloride-phenylethanol-moxalactam medium and significantly (p<0.05) better than modified Oxford agar in isolating L. monocytogenes.


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