scholarly journals A Novel Zero-Sum Polymatrix Game Theory Bidding Strategy for Power Supply Market

2019 ◽  
Vol 8 (2) ◽  
pp. 5669-5675

The competitive power system market involves very high financial risk due to the essential requirements of real-time bidding decision making. Decisions once taken cannot be altered easily because multiple generators participate in bidding process while simultaneously dispatching to meet the load demand most economically. In order to avoid such risks it becomes pertinent to re-structure the bidding strategies from time to time to meet upcoming techno-economical challenges. In this paper, three generating units are studied using Matrix Laboratory software with a novel approach for deciding the best strategy from the most economical strategy viewpoint. A scenario of different formulations is created for muti-player game, which then is solved with the help of zero-sum polymatrix game theory. A systematic tabular layout of revenues pertaining to each formulation in terms of mixed strategies is developed. The minimax and maximin revenues, identified using Game theoretic approach, gave the most economical strategy. Thus exact and self-enforcing generalized method for best bidding strategies of all three generators are logically derived for the most optimal solution.

Author(s):  
Nick Zangwill

Abstract I give an informal presentation of the evolutionary game theoretic approach to the conventions that constitute linguistic meaning. The aim is to give a philosophical interpretation of the project, which accounts for the role of game theoretic mathematics in explaining linguistic phenomena. I articulate the main virtue of this sort of account, which is its psychological economy, and I point to the casual mechanisms that are the ground of the application of evolutionary game theory to linguistic phenomena. Lastly, I consider the objection that the account cannot explain predication, logic, and compositionality.


Recently, game-theoretic models have become famous in many academic research areas. Therefore, many applications and extensions of the original game theoretic approach appear in many of the major science fields. Despite all the technical problems, the history of game theory suggests that it would be premature to abandon the tool, especially in the absence of a viable alternative. If anything, the development of game theory has been driven precisely by the realization of its limitations and attempts to overcome them. This chapter explores these ideas.


2006 ◽  
Vol 3 (3) ◽  
pp. 131-142 ◽  
Author(s):  
S. N. Givigi ◽  
H. M. Schwartz

In this article, we discuss some techniques for achieving swarm intelligent robots through the use of traits of personality. Traits of personality are characteristics of each robot that, altogether, define the robot's behaviours. We discuss the use of evolutionary psychology to select a set of traits of personality that will evolve due to a learning process based on reinforcement learning. The use of Game Theory is introduced, and some simulations showing its potential are reported.


2011 ◽  
Vol 40 (5) ◽  
Author(s):  
Sonja Vogt ◽  
Werner Raub ◽  
Jeroen Weesie ◽  
Vincent Buskens

ZusammenfassungIn diesem Beitrag untersuchen wir prosoziales Verhalten im Sinne wechselseitiger Hilfeleistungen. Als formales Modell verwenden wir ein asymmetrisches wiederholtes Solidaritätsspiel zwischen zwei Akteuren. Wir modellieren Asymmetrie in drei Dimensionen: (1.) Nutzen, den ein Akteur aus der Hilfeleistung des anderen zieht, (2.) Kosten der eigenen Hilfeleistung und (3.)Wahrscheinlichkeit, mit der ein Akteur Hilfe benötigt. Wir untersuchen die Effekte von Asymmetrie auf die Dynamik wechselseitiger Hilfeleistungen im Verlauf des Spiels. Wir nehmen an, dass die Häufigkeit, mit der sich die Akteure helfen, vom Nutzen und den Kosten der Hilfeleistungen sowie von der Wahrscheinlichkeit abhängt, Hilfe zu benötigen. Unser Beitrag zur Theoriebildung ist ein einfaches adaptives Verhaltensmodell für die Erklärung wechselseitiger Hilfeleistungen, das an das Forschungsprogramm der experimentellen Spieltheorie („behavioral game theory“) anschließt. Wir präsentieren zwei Varianten eines solchen Modells: eine sozialpsychologisch inspirierte Variante und eine Variante, die auf spieltheoretischen Verhandlungsmodellen beruht. Unser Modell ist robust in dem Sinn, dass beide Varianten zu ähnlichen Vorhersagen führen. Empirische Daten aus zwei Laborexperimenten bestätigen diese Vorhersagen.


Game Theory ◽  
2017 ◽  
pp. 244-336
Author(s):  
Sungwook Kim

Recently, game-theoretic models have become famous in many academic research areas. Therefore, many applications and extensions of the original game theoretic approach appear in many of the major science fields. Despite all the technical problems, the history of game theory suggests that it would be premature to abandon the tool, especially in the absence of a viable alternative. If anything, the development of game theory has been driven precisely by the realization of its limitations and attempts to overcome them. This chapter explores these ideas.


2016 ◽  
Vol 13 (10) ◽  
pp. 6834-6843
Author(s):  
Xunqian Tong ◽  
Gengfa Fang ◽  
Jun Lin

Since the geological environments are highly unpredictable and the battery capacity of seismometer nodes in the wireless seismic sensor networks (WSSN) is constraint, the lifetime of the network that using conventional single data collector may be dramatically reduced. Even with the most energy-efficient algorithm that deploys multiple data collectors, it is still too difficult to satisfy the system requirement in terms of energy consumption. In this paper, we therefore propose an optimal solution that uses multiple data collectors to minimize the total energy consumption of data transmissions in WSSN. The aim of this work is not only to determine how many data collectors are required, but also to find out how to place them in an effective way, so that the energy efficiency of the system can be further enhanced. In so doing, an optimal solution that is based on the placement of multiple data collectors is proposed. A two-step approach is adopted, in which the number of required data collectors is firstly calculated based on a graph theoretic approach and then the placement of the data collectors are further optimized according to maximize the network lifetime. The simulation analysis shows that with a given number of seismometer nodes, using the proposed algorithm, an optimal value can always be found to extend the WSSN lifetime. As the number of seismometer nodes are selected to be 200, 500, 800 and 1000, the lifetime of the WSSN can be improved by 176%, 236.8%, 408.4% and 575%, respectively.


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