Abstract
This article investigates the properties of social choice functions (SCFs) that represent resource allocation strategies for interference coupled wireless systems. The resources can be physical layer parameters such as power vectors or spatial streams. Strategy proofness and efficiency properties of SCFs are used to capture the properties of non-manipulability and Pareto optimality of resource allocation strategies, respectively. This article introduces and investigates the concepts of (strong) intuitive fairness and non-participation in interference coupled systems. The analysis indicates certain inherent limitations when designing strategy proof and efficient resource allocation strategies, if additional desirable and intuitive properties are imposed. These restrictions are investigated in an analytical mechanism design framework for interference coupled wireless systems. The article also investigates the permissible SCFs, which can be implemented by a mechanism in either Nash equilibrium or dominant strategy for utility functions representing interference coupled wireless systems. Among other results, it is shown that a strategy proof and efficient resource allocation strategy cannot simultaneously satisfy continuity and the often encountered property of non-participation.
Highlights
From the evolution of wireless infrastructure from second generation to third generation, there has been a gradual transition from voice centric to data centric applications
This article provides certain new insights on a particular class of strategy proof and efficient resource allocation strategies and has the following main contributions: 1 We introduce the property of intuitive fairness
Nash equilibrium implementation Dominant strategy implementation implementation of resource allocation strategies in a wireless network based on a signal-to-interference plus noise ratio (SINR) physical layer model
Summary
From the evolution of wireless infrastructure from second generation to third generation, there has been a gradual transition from voice centric to data centric applications. We utilize the social choice function (SCF) to represent resource allocation strategies in interference coupled wireless systems. Mechanism design and implementation theoretic concepts In the previous section, we have seen that the SCF being used as a tool to capture certain desirable properties of resource allocation strategies in a wireless system. Consider an example, where the resources at the physical layer are only the powers of the users, i.e., R = P, with P the set of powers defined as follows: P = {p | k∈K pk ≤ Ptotal} and the utility function is defined by (4) Results pertaining to desired properties of resource allocation strategies captured by SCFs
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