I
am currently a postdoctoral research fellow at Department of Mechanical Engineering, UC Santa Barbara,
working with Francesco Bullo.
I graduated from Beijing University of Aero. and Astro. with
a Bachelor's degree in Automation in 2001, and got my Master's degree in
Mechanical Engineering from the Chinese
University of Hong Kong in 2005. I obtained my Ph. D. degree in Electrical
and Computer Engineering from McGill University
under the supervision of Peter Caines, in 2010. I then spent one year at the
University of British Columbia, as a postdoc working
with Vikram
Krishnamurchy.
Dynamical
auctions and their potential applications in communication networks, power
systems, and other decentralized systems; Stochastic games and dynamic global
games in sensor networks and cognitive radio; Large population stochastic
systems and control; Nonlinear control and output regulation.
Journal articles
Jia, P. and Caines, P. E. (2010).
“Analysis of Quantized Double Auctions with Application to Competitive
Electricity Markets.” INFOR, Special Issue on Game Theory in Energy, 48(4),
239–250.
Jia, P. and Caines, P. E. (2010).
“Analysis of a Class of Decentralized Dynamical Systems: Rapid Convergence and
Efficiency of Dynamical Quantized Auctions.” IMA Journal of Mathematical
Control and Information, 27 (3), 329–372.
Jia, P., Qu, C. W. and Caines, P. E. (2009). "On the Rapid Convergence of a
Class of Decentralized Decision Processes: Quantized Progressive Second Price
Auctions," IMA Journal of Mathematical Control and Information, 26 (3),
325-355.
Submitted and in
preparation
Jia, P. and Caines, P. E. (2011). “Analysis
of Decentralized Quantized Auctions on Cooperative Networks.” submitted to the
IEEE Transactions on Automatic Control, May 2011.
Jia,
P. and Krishnamurthy, V. (2011). “POMDP Stopping Time Problems With a
Continuum of Agents - A Dynamic Global Game Theoretic Approach.” in
preparation.
Jia, P. and Caines, P. E. “Analysis
of Decentralized Decision Processes in Competitive Markets: Quantized Single
and Double-Sided Auctions.” in Proc. 49th IEEE Conference on Decision and
Control, Atlanta, USA, December 2010.
Jia, P. and Caines, P. E.
"Auctions on Networks: Efficiency, Consensus, Passivity, Rates of
Convergence," in Proc. 48th IEEE Conference on Decision and Control,
Shanghai, China, December 2009.
Jia, P. and Caines, P. E.
"Analysis of Quantized Auctions in Competitive Electricity Markets,"
presented at the Third Workshop on Game Theory in Energy, Resources and
Environment, Montreal, Canada, December 2009.
Jia, P. and Caines, P. E. "Equilibria and Convergence of Auctions on Networks,"
in Proc. International Conference on Game Theory for Networks, Istanbul,
Turkey, May 2009.
Jia, P. and Caines, P. E.
"Probabilistic Analysis of the Rapid Convergence of a Class of Progressive
Second Price Auctions," in Proc. 47th IEEE Conference on Decision and
Control, Cancun, Mexico, December 2008.
Qu, C. W., Jia, P. and Caines, P. E. "Analysis of Decentralized Decision
Processes: Quantized Progressive Second Price Auctions," in Proc. 46th
IEEE Conference on Decision and Control, New Orleans, USA, December 2007.
Jia,
P. and Huang, J. "Disturbance Attenuation of the Nonlinear Benchmark
System by Approximate Discrete-time Nonlinear H1 Control," in Proc. 24th
Chinese Control Conference, Guangzhou, China, 2005.
Mechanical
Engineering
2325
Engineering Bldg II, Rm. 2217
University
of California at Santa Barbara
Santa
Barbara, CA 93106-5070, USA
Tel:
+1(602)358-9279
E-mail:
pjia AT ece DOT ubc DOT ca or pjia AT cim DOT mcgill DOT ca