Title
Inverse Modeling Of Non-Cooperative Agents Via Mixture Of Utilities
Abstract
We describe a new method of parametric utility learning for non-cooperative, continuous games using a probabilistic interpretation for combining multiple utility functions thereby creating a mixture of utilities under non-spherical noise terms. We present an adaptation of mixture of regression models that takes in to account heteroskedasticity. We show the performance of the proposed method by estimating the utility functions of players using data from a social game experiment designed to encourage energy efficient behavior amongst building occupants. Using occupant voting data we simulate the new game defined by the estimated mixture of utilities and show that the resulting forecast is more accurate than robust utility learning methods such as constrained Feasible Generalized Least Squares (cFGLS), ensemble methods such as bagging, and classical methods such as Ordinary Least Squares (OLS).
Year
Venue
Field
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Mathematical optimization,Heteroscedasticity,Regression analysis,Computer science,Ordinary least squares,Robustness (computer science),Generalized least squares,Parametric statistics,Probabilistic logic,Ensemble learning
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Ioannis C. Konstantakopoulos1114.28
Lillian J. Ratliff28723.32
Ming Jin36710.43
Costas Spanos433345.49
Shankar Sastry5119771291.58