scholarly journals Generalized Fuzzy Shapley Function for Fuzzy Games

2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Chunqiao Tan ◽  
Xiaohong Chen
Keyword(s):  
Characteristic Function ◽  
Solution Concept ◽  
Axiomatic Characterization ◽  
Hukuhara Difference ◽  
Shapley Function ◽  
Fuzzy Games ◽  
Fuzzy Characteristic

A generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy games. Some of its properties are shown. An equivalent axiomatic characterization of the fuzzy Hukuhara-Shapley function is given. Furthermore, a generalized fuzzy Shapley function for games with fuzzy coalition and fuzzy characteristic function is developed. It is shown that the simplified expression of the generalized fuzzy Shapley function can be regarded as the generalization of the fuzzy Shapley function defined for some particular games with fuzzy coalition and fuzzy characteristic function.

VALUES FOR GAMES ON THE CYCLES OF A DIGRAPH

2012 ◽  
Vol 14 (02) ◽  
pp. 1250008
Author(s):  
WILLIAM OLVERA-LOPEZ ◽  
FRANCISCO SANCHEZ-SANCHEZ
Keyword(s):  
Mathematical Model ◽  
Characteristic Function ◽  
Shapley Value ◽  
Cooperative Games ◽  
Axiomatic Characterization ◽  
Efficient Solutions ◽  
Function Form ◽  
New Class ◽  
Characteristic Function Form

In this paper we introduce a new class of cooperative games. We define a characteristic function over the cycles of a digraph. We present a mathematical model for this situation and an axiomatic characterization of a solution for this class of cooperative games. This is introduced as a method to measure the importance of the nodes in a digraph, and can be related with the Shapley value of a game in characteristic function form. Also, we extend the modeling by applying coalitional structures for the nodes and r-efficient solutions, where the allocation amount is a real number r, showing axiomatic solutions in both cases.

An Axiomatic Characterization of a Class of Petri Nets

1991 ◽  
Vol 14 (4) ◽  
pp. 477-491
Author(s):  
Waldemar Korczynski
Keyword(s):  
Petri Nets ◽  
Petri Net ◽  
Axiomatic Characterization ◽  
Algebraic Characterization

In this paper an algebraic characterization of a class of Petri nets is given. The nets are characterized by a kind of algebras, which can be considered as a generalization of the concept of the case graph of a (marked) Petri net.

scholarly journals Axiomatization and Measurement of Quasi-Hyperbolic Discounting *

2014 ◽  
Vol 129 (3) ◽  
pp. 1449-1499 ◽  
Author(s):  
José Luis Montiel Olea ◽  
Tomasz Strzalecki
Keyword(s):  
Hyperbolic Discounting ◽  
Partial Identification ◽  
Axiomatic Characterization ◽  
Discount Factors ◽  
Elasticity Of Intertemporal Substitution ◽  
Trade Offs ◽  
Subject Pool ◽  
Identification Approach ◽  
The Subject

Abstract This article provides an axiomatic characterization of quasi-hyperbolic discounting and a more general class of semi-hyperbolic preferences. We impose consistency restrictions directly on the intertemporal trade-offs by relying on what we call “annuity compensations.” Our axiomatization leads naturally to an experimental design that disentangles discounting from the elasticity of intertemporal substitution. In a pilot experiment we use the partial identification approach to estimate bounds for the distributions of discount factors in the subject pool. Consistent with previous studies, we find evidence for both present and future bias.

scholarly journals Axiomatic characterization of the interval function of a graph

2009 ◽  
Vol 30 (5) ◽  
pp. 1172-1185 ◽  
Author(s):  
Henry Martyn Mulder ◽  
Ladislav Nebeský
Keyword(s):  
Axiomatic Characterization ◽  
Interval Function
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