scholarly journals On the Banzhaf-like Value for Cooperative Games with Interval Payoffs

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 372 ◽  
Author(s):  
Chunqiao Tan ◽  
Wenrui Feng ◽  
Weibin Han
Keyword(s):  
Cooperative Games ◽  
Total Order ◽  
Banzhaf Value ◽  
Closed Intervals ◽  
Interval Games ◽  
Interval Value

By using Moore’s subtraction operator and a total order on the set of closed intervals, we introduce a new variation of the Banzhaf value for cooperative interval games called the interval Banzhaf-like value which may accommodate the shortcomings of the interval Banzhaf value. We first reveal the relation between this introduced value and the interval Banzhaf value. Then, we present two sets of properties that may be used to determine whether an interval value is median-indifferent to the interval Banzhaf-like value. Finally, in order to overcome the disadvantages of the interval Banzhaf-like value, we propose the contracted interval Banzhaf-like value and give an axiomatization of this proposed value.

Interval Banzhaf Value for Cooperative Interval Games on Augmenting Systems

2014 ◽  
Vol 1030-1032 ◽  
pp. 1726-1732
Author(s):  
Zuo Feng Gao ◽  
Chao Han ◽  
Jing Wu
Keyword(s):  
Cooperative Games ◽  
Axiomatic System ◽  
Banzhaf Value ◽  
Real Numbers ◽  
Interval Numbers ◽  
Interval Games

This paper focuses on the Banzhaf value for cooperative games where the set of players is restraint on augmenting systems and the coalition values are compact intervals of real numbers. The interval Banzhaf value for cooperative interval games on augmenting systems is put forward on the basis of corresponding axiomatic system and operations of interval numbers. Moreover, some properties of the interval Banzhaf value are given. Finally, a practical example is offered to illustrate the validity and feasibility of this method on these kinds of cooperative interval games.

scholarly journals An axiomatization of the Banzhaf value for cooperative games on antimatroids

2004 ◽  
Vol 59 (1) ◽  
pp. 147-166 ◽  
Author(s):  
E. Algaba ◽  
J. M. Bilbao ◽  
R. van den Brink ◽  
A. Jim�nez-Losada
Keyword(s):  
Cooperative Games ◽  
Banzhaf Value

Uncertainty in Information Market Games

2020 ◽  
Vol 28 (Supp01) ◽  
pp. 11-29
Author(s):  
Saadia El Obadi ◽  
Silvia Miquel
Keyword(s):  
Cooperative Games ◽  
New Product ◽  
Interval Uncertainty ◽  
Patent Holder ◽  
Information Market ◽  
Market Games ◽  
Market Data ◽  
Interval Games

A new product can be produced and sold in a market thanks to the entrance of a patent holder into the market. This market is divided into submarkets controlled by only some firms and the profit attainable in each submarket is uncertain. In this paper, this situation is studied by means of cooperative games under interval uncertainty. We consider different ways of allocating the interval profit among the firms. One of these is the interval [Formula: see text]-value, which is defined for interval games satisfying some conditions. Efficient interval solutions in terms of the market data are provided.

Share-out in Cooperative Games under Uncertainty

1999 ◽  
Vol 31 (11) ◽  
pp. 10-14
Author(s):  
Vladislav I. Zhukovskiy ◽  
E. N. Opletayeva
Keyword(s):  
Cooperative Games

Synchronicity II

2018 ◽  
Author(s):  
Lexi Eikelboom
Keyword(s):  
Continental Philosophy ◽  
Total Order ◽  
Radical Orthodoxy ◽  
Theological Perspective ◽  
Musical Ontology

In contrast to the previous two chapters, which theologically engage rhythm in continental philosophy, this chapter examines Augustine’s explicitly theological approach to rhythm and its various receptions. The chapter uses Przywara’s scheme of intra-creaturely and theological analogies to frame Augustine’s treatment of rhythm in chapter six of De Musica. While Agamben represents an intra-creaturely perspective, Augustine represents a theological perspective. The degree to which this synchronic, theological view, which envisions rhythm as that which binds metaphysical layers of reality together allowing for communication between them, is problematic depends on the degree to which it is uncoupled from an intra-creaturely perspective like that of Agamben. Proponents of Radical Orthodoxy who propose an Augustinian musical ontology represent such an uncoupling, leading to a total order that betrays creatureliness. Erich Przywara’s interpretation, in contrast, retains the tension in Augustine between both the theological perspective on reality as harmonious and the intra-creaturely experience of interruption.

A stochastic approach to approximate values in cooperative games

2019 ◽  
Vol 279 (1) ◽  
pp. 93-106 ◽  
Author(s):  
Stefano Benati ◽  
Fernando López-Blázquez ◽  
Justo Puerto
Keyword(s):  
Cooperative Games ◽  
Stochastic Approach
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