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Fair Bit Allocation in Spatially Correlated Sensor Fields Using Shapley Value

공간 상관성을 갖는 센서장에서 섀플리 값을 이용한 공정한 비트 할당

  • Received : 2023.05.02
  • Accepted : 2023.06.08
  • Published : 2023.08.31

Abstract

The degree of contribution each sensor makes towards the total information gathered by all sensors is not uniform in spatially correlated sensor fields. Considering bit allocation problem in such a spatially correlated sensor field, the number of bits to be allocated to each sensor should be proportional to the degree of contribution the sensor makes. In this paper, we deploy Shapley value, a representative solution concept in cooperative game theory, and utilize it in order to quantify the degree of contribution each sensor makes. Shapley value is a system that determines the contribution of an individual player when two or more players work in collaboration with each other. To this end, we cast the bit allocation problem into a cooperative game called bit allocation game where sensors are regarded as the players, and a payoff function is given in the criteria of mutual information. We show that the Shapley value fairly quantifies an individual sensor's contribution to the total payoff achieved by all sensors following its desirable properties. By numerical experiments, we confirm that sensor that needs more bits to cover its area has larger Shapley value in spatially correlated sensor fields.

Keywords

Acknowledgement

이 논문은 2020년도 부산가톨릭대학교 교내연구비에 의하여 연구되었음.

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