On the fuzzy interval equal surplus sharing solutions

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
İsmail Özcan ◽  
Sırma Zeynep Alparslan Gök
Keyword(s):  
Real Number ◽  
Cooperative Games ◽  
Grand Coalition ◽  
Characteristic Functions ◽  
Equal Division ◽  
Content Type ◽  
Fuzzy Uncertainty ◽  
Surplus Sharing ◽  
Equal Division Solution ◽  
Fuzzy Interval

PurposeThis paper deals with cooperative games whose characteristic functions are fuzzy intervals, i.e. the worth of a coalition is not a real number but a fuzzy interval. This means that one observes a lower and an upper bound of the considered coalitions. This is very important, for example, from a computational and algorithmic viewpoint. The authors notice that the approach is general, since the characteristic function fuzzy interval values may result from solving general optimization problems.Design/methodology/approachThis paper deals with cooperative games whose characteristic functions are fuzzy intervals, i.e. the worth of a coalition is not a real number but a fuzzy interval. A situation in which a finite set of players can obtain certain fuzzy payoffs by cooperation can be described by a cooperative fuzzy interval game.FindingsIn this paper, the authors extend a class of solutions for cooperative games that all have some egalitarian flavour in the sense that they assign to every player some initial payoff and distribute the remainder of the worth v(N) of the grand coalition N equally among all players under fuzzy uncertainty.Originality/valueIn this paper, the authors extend a class of solutions for cooperative games that all have some egalitarian flavour in the sense that they assign to every player some initial payoff and distribute the remainder of the worth v(N) of the grand coalition N equally among all players under fuzzy uncertainty. Examples of such solutions are the centre-of-gravity of the imputation-set value, shortly denoted by CIS value, egalitarian non-separable contribution value, shortly denoted by ENSC value and the equal division solution. Further, the authors discuss a class of equal surplus sharing solutions consisting of all convex combinations of the CIS value, the ENSC value and the equal division solution. The authors provide several characterizations of this class of solutions on variable and fixed player set. Specifications of several properties characterize specific solutions in this class.

Development of a direct NGM(1,1) prediction model based on interval grey numbers

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ye Li ◽  
Yuanping Ding ◽  
Yaqian Jing ◽  
Sandang Guo
Keyword(s):  
Genetic Algorithm ◽  
Markov Model ◽  
Prediction Model ◽  
Real Number ◽  
Content Type ◽  
Optimal Weight ◽  
Practical Applications ◽  
Number Sequences ◽  
Integral Development ◽  
Grey Number

PurposeThe purpose of this paper is to construct an interval grey number NGM(1,1) direct prediction model (abbreviated as IGNGM(1,1)), which need not transform interval grey numbers sequences into real number sequences, and the Markov model is used to optimize residual sequences of IGNGM(1,1) model.Design/methodology/approachA definition equation of IGNGM(1,1) model is proposed in this paper, and its time response function is solved by recursive iteration method. Next, the optimal weight of development coefficients of two boundaries is obtained by genetic algorithm, which is designed by minimizing the average relative error based on time weighted. In addition to that, the Markov model is used to modify residual sequences.FindingsThe interval grey numbers’ sequences can be predicted directly by IGNGM(1,1) model and its residual sequences can be amended by Markov model. A case study shows that the proposed model has higher accuracy in prediction.Practical implicationsUncertainty and volatility information is widespread in practical applications, and the information can be characterized by interval grey numbers. In this paper, an interval grey numbers direct prediction model is proposed, which provides a method for predicting the uncertainty information in the real world.Originality/valueThe main contribution of this paper is to propose an IGNGM(1,1) model which can realize interval grey numbers prediction without transforming them into real number and solve the optimal weight of integral development coefficient by genetic algorithm so as to avoid the distortion of prediction results. Moreover, the Markov model is used to modify residual sequences to further improve the modeling accuracy.

scholarly journals Game-Theoretic Principles of Decision Management Modeling Under the Coopetition

2020 ◽  
pp. 2050010
Author(s):  
Iryna Heiets ◽  
Tamara Oleshko ◽  
Oleg Leshchinsky
Keyword(s):  
Infinite Number ◽  
Cooperative Games ◽  
Characteristic Functions ◽  
Optimal Distribution ◽  
Collective Rationality ◽  
Decision Management ◽  
Game Theoretic ◽  
The Individual ◽  
Additional Income

The paper considers the two main game-theoretic models, such as coalition and cooperative. The authors are of the opinion that definitions and notions of cooperative games and coalition games are different, but both games are coopetitive games. Transitivity and superadditivity are presented as the main characteristic functions of coopetitive games. The individual and collective rationality were identified as unconditional requirements for the optimal distribution between players. Furthermore, the additional income added to the guaranteed amount occurs in the event of coopetition. Any substantial coopetitive game has an infinite number of transactions. The authors highlighted that the dominant transaction is the transaction that is better for all coalition numbers without exceptions and it can be reached by the coalition. In addition, the authors propose using Shapley system of axioms to identify coopetitive game results.

LINEAR AND INTEGER PROGRAMMING TECHNIQUES FOR COOPERATIVE GAMES

2002 ◽  
Vol 13 (05) ◽  
pp. 653-666 ◽  
Author(s):  
Qizhi Fang ◽  
Shanfeng Zhu
Keyword(s):  
Integer Programming ◽  
Cooperative Game ◽  
Cooperative Games ◽  
Value Function ◽  
Linear Program ◽  
Grand Coalition ◽  
The Core ◽  
Programming Techniques ◽  
Theoretical Results

Let Γ = (N, v) be a cooperative game with the player set N and value function v : 2N → R. A solution of the game is in the core if no subset of players could gain advantage by breaking away from the grand coalition of all players. This paper surveys theoretical results on the cores for some cooperative game models. These results proved that the linear program duality characterization of the core is a very powerful tool. We will focus on linear and integer programming techniques applied in this area.

A renewal of Germany’s grand coalition is likely

2017 ◽  
Keyword(s):  
Economic Growth ◽  
Grand Coalition ◽  
Content Type ◽  
Minority Government ◽  
Left And Right ◽  
Federal Structure

Significance The wording of the motion was left deliberately vague to leave the door open to either a CDU/CSU-SPD grand coalition or a CDU-led minority government with or without a confidence and supply deal with the SPD. Impacts Another grand coalition risks alienating voters further, potentially strengthening the far left and right. The AfD would effectively become leader of the opposition, give it a greater voice. Economic growth is unlikely to be affected by the stalemate thanks to robust institutions and the federal structure of the country.

Likely Israeli coalition will quickly step up spending

2020 ◽  
Keyword(s):  
Prime Minister ◽  
Religious Right ◽  
The Political ◽  
Equal Division ◽  
Content Type ◽  
The Government ◽  
Political Scene

Subject Composition and agenda of a likely unity government. Significance De facto opposition leader Benny Gantz on March 26 agreed to enter a coalition with incumbent Prime Minister Binyamin Netanyahu. The government, terms for which have yet to be finalised, would end the political deadlock that three back-to-back elections failed to break. Although the prospective coalition will enjoy a Knesset majority of at least 75 seats, it will also cover a wide and awkward ideological spectrum. Impacts Netanyahu will remain the dominant figure on the political scene for another 18 months, if not beyond. Equal division of portfolios between Blue and White and religious-right parties will mean a more moderate government than the previous one. Gantz’s decision has split his party and leaves the centre-left weaker and more divided than ever. The new coalition will address issues that have been put on hold during the extended interregnum and restore normal government functioning.

German parties move closer to grand coalition renewal

2018 ◽  
Keyword(s):  
Grand Coalition ◽  
Content Type

Headline GERMANY: Parties move towards grand coalition renewal

Hesse vote could trigger early federal election

2018 ◽  
Keyword(s):  
Grand Coalition ◽  
Federal Election ◽  
Content Type

Headline GERMANY: Hesse may spell end for the grand coalition

scholarly journals Nocardia farcinica Activates Human Dendritic Cells and Induces Secretion of Interleukin-23 (IL-23) Rather than IL-12p70

2012 ◽  
Vol 80 (12) ◽  
pp. 4195-4202 ◽  
Author(s):  
Martin Eisenblätter ◽  
Ariane Buchal ◽  
Hermine Gayum ◽  
Edith Jasny ◽  
Pablo Renner Viveros ◽  
...  
Keyword(s):  
Dendritic Cells ◽  
T Cell ◽  
Immune Responses ◽  
Characteristic Functions ◽  
Interleukin 12 ◽  
Adjuvant Effect ◽  
Phagocytic Capacity ◽  
Necrosis Factor Alpha ◽  
Content Type ◽  
Nocardia Farcinica

ABSTRACTStudying the interaction of dendritic cells (DCs) with bacteria controlled by T-cell-mediated immune responses may reveal novel adjuvants for the induction of cellular immunity. Murine studies and the observation that nocardias infect predominantly immunosuppressed patients have suggested that these bacteria may possess an adjuvant potential. Moreover, adjuvants on the basis of the nocardial cell wall have been applied in clinical studies. Since the handling of adjuvants by DCs may determine the type of immune responses induced by a vaccine, the present study aimed at investigating the interaction of immature human monocyte-derived DCs with live or inactivatedNocardia farcinicain vitroand determining the cellular phenotypic changes as well as alterations in characteristic functions, such as phagocytosis, induction of T-cell proliferation, and cytokine secretion. Human DCs ingestedN. farcinicaand eradicated the bacterium intracellularly. DCs exposed to inactivatedN. farcinicawere activated, i.e., they developed a mature phenotype, downregulated their phagocytic capacity, and stimulated allogeneic T cells in mixed leukocyte reactions. Soluble factors were not involved in this process. To elucidate the potential adjuvant effect ofN. farcinicaon the induction of T-cell-mediated immune responses, we characterized the cytokines produced by nocardia-exposed DCs and detected substantial amounts of tumor necrosis factor alpha (TNF-α) and interleukin-12 p40 (IL-12p40). However, nocardia-treated DCs secreted only small amounts of IL-12p70, which were significantly smaller than the amounts of IL-23. Thus,N. farcinicaactivates DCs, but adjuvants based on this bacterium may have only a limited capacity to induce Th1 immune responses.

Greek election may not bring stability

2015 ◽  
Keyword(s):  
Prime Minister ◽  
Private Investment ◽  
Grand Coalition ◽  
Structural Reforms ◽  
Content Type ◽  
The Third ◽  
New Democracy

Significance Radical leftist Syriza and centre-right New Democracy (ND) are neck-and-neck as they near the September 20 election finishing-line. Neither has viable solutions for Greece's economic woes other than the third rescue package agreed between Greece's creditors and the then Syriza Prime Minister Alexis Tsipras in July. Impacts A coalition between Syriza and centre parties would recapitalise the banks, but resist cuts in incomes and structural reforms. If ND comes first, it too will seek centrist support to recapitalise the banks, pursue privatisations and facilitate private investment. Small centre parties would result either in unstable majorities with Syriza or ND, or a fragile Syriza-ND grand coalition.

Sign in / Sign up

Export Citation Format

Share Document