scholarly journals Rational Probabilistic Deciders—Part II: Collective Behavior

2007 ◽  
Vol 2007 ◽  
pp. 1-34
Author(s):  
P. T. Kabamba ◽  
W.-C. Lin ◽  
S. M. Meerkov

This paper explores the behavior of rational probabilistic deciders (RPDs) in three types of collectives: zero sum matrix games, fractional interactions, and Edgeworth exchange economies. The properties of steady states and transients are analyzed as a function of the level of rationality,N, and, in some cases, the size of the collective,M. It is shown that collectives of RPDs, may or may not behave rationally, depending, for instance, on the relationship betweenNandM(under fractional interactions) orNand the minimum amount of product exchange (in Edgeworth economies). The results obtained can be useful for designing rational reconfigurable systems that can autonomously adapt to changing environments.

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 305 ◽  
Author(s):  
M. G. Brikaa ◽  
Zhoushun Zheng ◽  
El-Saeed Ammar

The intuitionistic fuzzy set (IFS) is applied in various decision-making problems to express vagueness and showed great success in realizing the day-to-day problems. The principal aim of this article is to develop an approach for solving multi-criteria matrix game with intuitionistic fuzzy (I-fuzzy) goals. The proposed approach introduces the indeterminacy resolving functions of I-fuzzy numbers and discusses the I-fuzzy inequalities concept. Then, an effective algorithm based on the indeterminacy resolving algorithm is developed to obtain Pareto optimal security strategies for both players through solving a pair of multi-objective linear programming problems constructed from two auxiliary I-fuzzy programming problems. It is shown that this multi-criteria matrix game with I-fuzzy goals is an extension of the multi-criteria matrix game with fuzzy goals. Moreover, two numerical simulations are conducted to demonstrate the applicability and implementation process of the proposed algorithm. Finally, the achieved numerical results are compared with the existing algorithms to show the advantages of our algorithm.


Author(s):  
Анатолий Сигал ◽  
Anatoliy Sigal

The manual describes the main sections of game theory, the basic concepts of the theory of economic risks and the conceptual framework for modeling the process of making managerial decisions in the economy based on the combined application of statistical and antagonistic games. Antagonistic games (AG) are the finite games of two persons with zero sum, i.e. matrix games, with classical antagonistic games called AG, given by completely known matrices, and neoclassical antagonistic games – AG, given by partially known matrices. The manual is intended primarily for masters who study in the direction of training "business information". However, it will be useful for students and postgraduates studying in large groups of areas of training "Economics and Management", "Mathematics and Mechanics", "Management in Technical Systems", as well as scientific and pedagogical workers specializing in the field of the theory of games, risk managers , managers and economists-practitioners.


1991 ◽  
Vol 7 (3) ◽  
pp. 349-360 ◽  
Author(s):  
Gregory H. Adler ◽  
Joshua O. Seamon

ABSTRACTThe insular distribution and abundance of the spiny rat (Proechimys semispinosus) were studied by live-trapping rats on 50 small forested islands in Gatun Lake, Republic of Panama. Rats were found on 29 of these islands. Rat abundance was not correlated with island size or isolation, in contrast to temperate rodents, and may be due to the highly patchy nature of tropical forests and the differing floristic compositions of the study islands. Rat occurrence on islands was related positively to island size and negatively to island isolation. All islands greater than 2.1 ha contained spiny rats, whereas most islands less than 0.9 ha did not contain rats. The relationship between occurrence, size, and isolation are illustrated by a three-dimensional response surface. Results suggest that colonization and extinction regularly occur on these islands and that (1) larger islands with year-round fruit production, regardless of isolation, will have persistent populations of rats, (2) small isolated islands will never or only very rarely have rats owing to a lack of a year-round food source and the difficulty of immigration, and (3) small near islands frequently will have rats when fruits arc present. No other species of mouse-or rat-like rodents were captured on the islands. We suggest that P. semispinosus is a better colonist than other sympatric forest species, is more of a habitat generalist, and has a more flexible demographic structure allowing persistence in heterogeneous and changing environments.


2021 ◽  
Vol 16 (3) ◽  
pp. 263-303
Author(s):  
Yuni Nustini ◽  
◽  
Mohd Taufik Mohd Suffian ◽  
Nor Balkish Zakaria ◽  
Zuraidah Mohd Sanusi ◽  
...  

This study aimed to determine if capital market training, on-line facilities, social environment, and a minimum amount of investment affect Indonesian and Malaysian university-students’ decisions in investing in the capital markets of each country, as they are potential smart investors. Based on 229 respondents from both countries, a survey was conducted comprising 24 questions. Respondents were selected using they random sampling method. The results found that capital market training and on-line facilities were not factors that influenced university students’ decisions in Indonesia and Malaysia in making investment in the capital markets. The other two variables, social environment and a minimum amount of investment proved influential. The mediating variable, investment interest partially influenced the relationship between social environment and a minimum amount of investment-to-investment decision, but did not mediate capital market training and on-line facilities to the investment decision. Keywords: capital market training, on-line facilities, social environment, minimum amount of investment, university-students


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