scholarly journals Axiomatic and Dynamic Processes for a Symmetric Allocation Rule

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1474
Author(s):  
Chia-Hung Li ◽  
Jo-Wei Chiang ◽  
En-Cheng Chi ◽  
Yu-Hsien Liao
Keyword(s):  
Resource Allocation ◽  
Allocation Rule ◽  
Dynamic Processes ◽  
Theoretical Methods ◽  
Allocation Rules ◽  
Reactive Behavior ◽  
Rules Of Thumb ◽  
Efficient Resource ◽  
Mathematical Accuracy ◽  
Allocation Approach

It has recently become imperative to analyze relevant issues to improve the efficiency of resource allocation by means of different perspectives and ways of thinking. There exist numerous decisive factors, such as changes in forms of allocation, reactive behavior, and the interaction and functional effectiveness of strategies, that need to be complied. In contrast to expert meetings, rules of thumb, or other existing concepts, this article aims to offer a different and efficient resource allocation approach by applying game-theoretical methods to resource-allocation situations. Our major investigative procedures are as follows: (1) after comparing our method with pre-existing allocation rules from pre-existing allocation rules, a symmetric allocation rule is proposed that considers both units and their energy grades; (2) based on the properties of grade completeness, criterion for models, unmixed equality symmetry, grade synchronization, and consistency, some axiomatic outcomes are used to examine the mathematical accuracy and the applied rationality of this symmetric allocation rule; (3) based on a symmetrical revising function, a dynamic process is applied to show that this symmetric allocation rule can be reached by units that start from an arbitrary grade completeness situation; and (4) these axiomatic and dynamic results and related meanings are applied to show that this symmetric allocation rule can present an optimal alternative guide for resource-allocation processes. Related applications, comparisons, and statements are also offered throughout this article.

A Novel Spectral-Efficient Resource Allocation Approach for NOMA-Based Full-Duplex Systems

2019 ◽  
Author(s):  
Hieu V. Nguyen ◽  
Van-Dinh Nguyen ◽  
Octavia A. Dobre ◽  
Diep N. Nguyen ◽  
Eryk Dutkiewicz ◽  
...  
Keyword(s):  
Resource Allocation ◽  
Full Duplex ◽  
Efficient Resource ◽  
Duplex Systems ◽  
Allocation Approach

Experimental Gaming Comparison of Resource Allocation Rules in Case of Transferable Utilities

2017 ◽  
Vol 19 (02) ◽  
pp. 1750006 ◽  
Author(s):  
N. A. Korgin ◽  
V. O. Korepanov
Keyword(s):  
Resource Allocation ◽  
Comparative Analysis ◽  
Nash Equilibrium ◽  
Efficient Solution ◽  
Dominant Strategy ◽  
Uniform Rule ◽  
Allocation Mechanism ◽  
Allocation Rules ◽  
Proportional Allocation ◽  
Efficient Resource

The present paper discusses the comparative analysis results of resource allocation rules using experiments in the form of business games. The comparative analysis involves five rules. The resource allocation mechanism that gives the efficient solution of the problem without transferable utility, implementing it as dominant strategy equilibrium in the agents game, so called Uniform rule. The mechanism with balanced payments introduced earlier by authors using the Groves Ledyard rule that gives the efficient solution of the problem as a Nash equilibrium in the agents game, as well as its modification reducing the dimension of the action space of the agents. The mechanism from the class of proportional allocation mechanisms, where, the efficient resource allocation also represents a Nash equilibrium, but the payments are unbalanced. Last mechanism in the comparative analysis was originally developed as a distributed optimization algorithm.

scholarly journals Fighting Wildfires under Uncertainty - A Sequential Resource Allocation Approach

2020 ◽  
Author(s):  
Hau Chan ◽  
Long Tran-Thanh ◽  
Vignesh Viswanathan
Keyword(s):  
Resource Allocation ◽  
Disaster Response ◽  
Optimal Solution ◽  
Optimal Solutions ◽  
Resource Allocation Algorithm ◽  
Efficient Resource ◽  
Resource Allocation Strategy ◽  
Sequential Resource Allocation ◽  
Utility Estimation ◽  
Allocation Approach

Standard disaster response involves using drones (or helicopters) for reconnaissance and using people on the ground to mitigate the damage. In this paper, we look at the problem of wildfires and propose an efficient resource allocation strategy to cope with both dynamically changing environment and uncertainty. In particular, we propose Firefly, a new resource allocation algorithm, that can provably achieve optimal or near optimal solutions with high probability by first efficiently allocating observation drones to collect information to reduce uncertainty, and then allocate the firefighting units to extinguish fire. For the former, Firefly uses a combination of maximum set coverage formulation and a novel utility estimation technique, and it uses a knapsack formulation to calculate the allocation for the latter. We also demonstrate empirically by using a real-world dataset that Firefly achieves up to 80-90% performance of the offline optimal solution, even with a small amount of drones, in most of the cases.

The Manager Giveth, the Manager Taketh Away: Variation in Distribution/Recovery Rules Due to Resource Type and Cultural Orientation

1999 ◽  
Vol 25 (5) ◽  
pp. 723-757 ◽  
Author(s):  
Judi McLean Parks ◽  
Donald E. Conlon ◽  
Soon Ang ◽  
Robert Bontempo
Keyword(s):  
Resource Allocation ◽  
Decision Rules ◽  
Cultural Orientation ◽  
Allocation Rule ◽  
Allocation Rules ◽  
Resource Type ◽  
Allocation Decisions ◽  
Resource Allocation Decisions

Although the resource allocation literature has frequently examined the decision rules used to distribute monetary resources, many other types of resources have not been systematically studied. In addition, very little is known about the allocation rules that might be used when resources are recovered (i.e., taken away) as opposed to distributed. As managers frequently face decisions regarding the distribution or recovery of different resources, developing a greater understanding of the rules they might use to give or take away resources is important. This study examined the difficulty of resource allocation decisions and allocation rule choices. Our results suggest need rules are generally preferred by allocators, although rule preferences were affected by both the type of resource and whether the resource was being distributed rather than recovered. In particular, the preference for equality rules was stronger when resources were recovered. Our findings also suggest that managers may find recovery decisions more difficult than distribution decisions, and that monetary and affiliative resources are among the most difficult to allocate.

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