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Nash strategies with adaptation and their application in the deregulated electricity market

Tan, Xiaohuan
http://rave.ohiolink.edu/etdc/view?acc_num=osu1164044251

Abstract Details

2006, Doctor of Philosophy, Ohio State University, Electrical Engineering.
The strategic bidding problems in the deregulated electricity market have been of keen interest to researchers and policy makers in recent decades. Given the conflicting nature of the problem, the theory of noncooperative games seems to be the right framework to investigate the problems. Although much efforts has been devoted to this topic, many issues remain unsolved, in which private information often keeps modelers from formulating and solving the games using available research results. Motivated by strategic bidding problems, this dissertation focuses on the adaptivity and sensitivity analysis of a class of nonzero-sum games with incomplete information. We first construct an infinite-horizon discrete-time linear quadratic N-person nonzero-sum game with complete information and perfect state information pattern, and then we consider the case with incomplete information. We first propose an adaptation mechanism for a player who lacks complete information of the game and prove convergence of the parameter estimates to the true values of the parameters under the conditions of persistent excitation. We then slightly modify the model to study the sensitivity of the costs of a game with respect to the embedded unknown parameter using multi-modeling method and we derive bounds for the cost deviation. Finally, we investigate the effect of market power by considering a market with lagged customer response to prices. These analyses are of fundamental importance if one wants to effectively apply game theory to strategic bidding problems.
Jose. B. Cruz, Jr. (Advisor)
game theory; deregulation; adaptive control; sensitivity analysis

Recommended Citations

Citations

  • Tan, X. (2006). Nash strategies with adaptation and their application in the deregulated electricity market [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1164044251

    APA Style (7th edition)

  • Tan, Xiaohuan. Nash strategies with adaptation and their application in the deregulated electricity market. 2006. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1164044251.

    MLA Style (8th edition)

  • Tan, Xiaohuan. "Nash strategies with adaptation and their application in the deregulated electricity market." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1164044251

    Chicago Manual of Style (17th edition)

osu1164044251
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© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.