Title
Zero-Sum Matrix Game with Payoffs of Dempster-Shafer Belief Structures and Its Applications on Sensors.
Abstract
The zero-sum matrix game is one of the most classic game models, and it is widely used in many scientific and engineering fields. In the real world, due to the complexity of the decision-making environment, sometimes the payoffs received by players may be inexact or uncertain, which requires that the model of matrix games has the ability to represent and deal with imprecise payoffs. To meet such a requirement, this paper develops a zero-sum matrix game model with Dempster-Shafer belief structure payoffs, which effectively represents the ambiguity involved in payoffs of a game. Then, a decomposition method is proposed to calculate the value of such a game, which is also expressed with belief structures. Moreover, for the possible computation-intensive issue in the proposed decomposition method, as an alternative solution, a Monte Carlo simulation approach is presented, as well. Finally, the proposed zero-sum matrix games with payoffs of Dempster-Shafer belief structures is illustratively applied to the sensor selection and intrusion detection of sensor networks, which shows its effectiveness and application process.
Year
DOI
Venue
2017
10.3390/s17040922
SENSORS
Keywords
Field
DocType
sensor selection,intrusion detection,matrix game,imprecise payoff,Dempster-Shafer evidence theory,belief function
Belief structure,Repeated game,Artificial intelligence,Normal-form game,Engineering,Symmetric game,Sequential game,Dempster–Shafer theory,Example of a game without a value,Outcome (game theory)
Journal
Volume
Issue
ISSN
17
4.0
1424-8220
Citations 
PageRank 
References 
19
0.60
41
Authors
3
Name
Order
Citations
PageRank
Xinyang Deng142629.66
Wen Jiang226521.00
Jiandong Zhang3202.31