Adaptive allocation rules for hypergraph games

Author(s):  
Guang Zhang
1989 ◽  
Vol 17 (2) ◽  
pp. 801-823 ◽  
Author(s):  
Inchi Hu ◽  
C. Z. Wei

2020 ◽  
Author(s):  
Gabriele Canna ◽  
Francesca Centrone ◽  
Emanuela Rosazza Gianin

Author(s):  
Kristof Bosmans ◽  
Z. Emel Öztürk

AbstractWe develop a normative approach to the measurement of inequality of opportunity. That is, we measure inequality of opportunity by the welfare gain obtained in moving from the actual income distribution to the optimal income distribution of the total available income. Our study brings together the main approaches in the literature: we axiomatically characterize social welfare functions, we obtain prominent allocation rules as their optima, and we derive familiar classes of inequality of opportunity measures. Our analysis captures moreover the key philosophical distinctions in the literature: ex post versus ex ante compensation, and liberal versus utilitarian reward.


2021 ◽  
Vol 87 (4) ◽  
pp. 1345-1365
Author(s):  
Brock V. Stoddard ◽  
Caleb A. Cox ◽  
James M. Walker

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 617
Author(s):  
Yu-Hsien Liao

In many interactive environments, operators may have to deal with different work objectives at the same time. In a realistic context, such as differences in the target type to be addressed, or changes in the behavior of other operators, operators may therefore have to cope with by adopting different work levels (strategies) at any given time. On the other hand, the importance or influence brought by operators may vary depending on many subjective and objective factors, such as the size of the constituency represented by a congressman, and the bargaining power of a business personnel which may vary. Therefore, it is reasonable that weights are apportioned to operators and arbitrary usability should be distributed according to these weights under various working levels and multiattribute situations. In pre-existing results for allocation rules, weights might be always apportioned to the “operators” or the “levels” to modify the differences among the operators or its working levels respectively. By applying weights to the operators and its working levels (strategies) simultaneously, we adopt the maximal marginal variations among working level (strategy) vectors to propose an allocation rule under multiattribute situations. Furthermore, we introduce some axiomatic outcomes to display the rationality for this weighted allocation rule. By replacing weights to be maximal marginal variations, a generalized index is also introduced.


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