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In the setting of L-convex spaces, this paper proves a result ensuring the existence of pure strategy Nash equilibrium for non-cooperative games with infinite countable players. Following the method introduced by Nikaido and Isoda (1955), this paper defines an aggregate payoff function, and next then, determines some restrictions on the aggregate function that guarantee the existence of pure strat...Show More
The classical Knaster-Kuratowski-Mazurkiewicz (in short, KKM) theorem is a basic result for combinatorial mathematics; it is equivalent to many basic theorems such as Brouwer's fixed point theorem, Sperner's lemma, and Fan's minimax inequality. In 1961, Ky Fan generalized the classical KKM theorem from finite dimensional spaces to infinite dimensional spaces, and since then, this theorem has becom...Show More
In this paper we consider the linear-quadratic differential game with an infinite planning horizon. We derive both necessary and sufficient conditions for existence of open-loop Nash equilibria for this game. Furthermore we show how all equilibria can be easily obtained from the eigenspace structure of a Hamiltonian matrix that is associated with the game.Show More
With the deepening of the electric power system reform, electricity market has attracted attentions from both academic and industrial societies. In this paper, a bilateral game model with incomplete information between the electricity generation and selling enterprises is established, which considers the direct electricity purchase prices and amount as the strategy sets of the both sides. In order...Show More

Comparing competition equilibrium with nash equilibrium in electric power market

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CSEE Journal of Power and Energy Systems
Year: 2018 | Volume: 4, Issue: 3 | Journal Article |
Cited by: Papers (5)
The Nash equilibrium and competition equilibrium have been widely studied in the electric power market up to now. In this paper, it is explained that the Nash equilibrium can be achieved by using marginal cost pricing and the competition equilibrium can be performed by using accounting cost pricing based on the model of the power market system. The comparison between the Nash equilibrium and compe...Show More

Comparing competition equilibrium with nash equilibrium in electric power market

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Year: 2018 | Volume: 4, Issue: 3 | Journal Article |
We consider a wireless multiple access channel (MAC) with N users. Associated with each user is their time-varying channel state and a finite-length queue which varies with time. In MAC, a receiver decodes the signals of each user by treating the other users' signals as noise. Each user decides their transmit power and the queue-admission control variable dynamically to maximize their expected thr...Show More
In this work, we study the problem of n users assigning load to m identical machines with the restriction that there is a small probability that users may accidentally choose unintended strategies. This problem we describe as selfish load balancing games with trembling hand users. We systematically study the pure Nash equilibria of the variants we proposed and a comparison of those equilibria and ...Show More
This brief is concerned with the feedback Nash equilibrium for networked control systems (NCSs) with packet dropouts. The packet dropouts occur when the state information is transformed via a wireless network, causing the fall that the state information is unavailable to design the feedback Nash equilibrium. The main contribution of this brief is that the necessary and sufficient condition for the...Show More
It is proven in this paper that, under certain conditions, the closed-loop Nash equilibrium of the Sethi advertising model is equivalent to that of a standard scalar LQ differential game. By this way, some properties of the advertising duopoly model, such as the existence and uniqueness of the closed-loop Nash equilibrium, can be analyzed more deeply based on the existing result of an LQ different...Show More
We consider the problem of budget allocation for competitive influence maximization over social networks. In this problem, multiple competing parties (players) want to distribute their limited advertising resources over a set of social individuals to maximize their long-run cumulative payoffs. It is assumed that the individuals are connected via a social network and update their opinions based on ...Show More
This paper studies a classical single pursuer and single evader pursuit-evasion game. The pursuer attempts to capture the slower evader who aims to extend its lifetime during the game. To simplify this question, requiring the evader to take fixation strategy which is choosing the farthest point in its current dominant region as aimpoint and moving at a constant speed. Assuming the pursuer is faste...Show More
In this paper some important requirements for game theory based pricing of services in Next generation networks are discussed. We propose the Cournot game for modelling the economic interactions of two service providers offering the same service and sharing the same network resources. The proposed model is verified through numerous numerical examples. In this paper we analyze numerical results for...Show More
We investigate infection-curing games on a network epidemics model based on the classical Polya urn scheme that accounts for spatial contagion among neighbouring nodes. We first consider the zero-sum game between competing agents using the cost measure for the average infection in the network. Due to the complexity of this problem we define a game on a proxy measure given by the so-called expected...Show More
Co-channel heterogeneous network (HetNet) where the conventional macro cells are underlaid with some co-channel low power node (LPN) cells has been recently introduced into HSPA+ to satisfy the rapidly growing demands for improving system coverage and capacity. However, the severe cross-tier uplink interference caused by applying the heterogeneous deployment will inevitably limit the uplink perfor...Show More
Competition and coordination issues are jointly addressed in a supply chain consisting of a distribution system in which a supplier provides a common product to N independent retailers. These retailers face their individual stochastic demand markets, but they compete with each other through price and service two stage operation. The retail competition model and coordination model are respectively ...Show More
We formulate and study a class of stochastic positional games applying the concept of positional games to finite state space Markov decision processes with expected total discounted cost criterion. Necessary and sufficient conditions for the existence of Nash equilibria in stochastic positional games with discounted payoffs are proven and some approaches for determining the optimal stationary stra...Show More
We prove an N2-o(1) lower bound on the randomized communication complexity of finding an ε-approximate Nash equilibrium (for constant ε>0) in a two-player N×N game.Show More
A competitive market model is considered with M suppliers and N customers, where each supplier provides a homogeneous service such as delivering propane gas cylinders and has to offer a uniform price upon delivery to all customers. Given a price upper bound U, the model is formulated as an M person game with pure strategy. It is shown that the M person game has the unique Nash equilibrium if and o...Show More
This paper is concerned with an energy consumption scheduling problem for consumers in smart grid, based on a real time pricing strategy. Firstly, the energy consumption scheduling problem is cast into a non-cooperative energy consumption game, where consumers compete with each other in order to minimize their electricity usage cost. Secondly, we prove that the non-cooperative energy consumption g...Show More
When we face a complex, evolving artificial system, there are "rational" individuals in the system who pursue their own interests. This paper we regulate the individuals in order to avoid significant pitfalls. First, we introduce hierarchical structure model of a game-based control system for macro-regulation and formulate the model by forward differential equation. Then we analyze the system with...Show More
This paper studies the Two-Person Zero Sum (TPZS) game between the radar and the extended target with the output Signal-to-Interference-pulse-Noise Ratio (SINR) being the payoff function. The radar player wants to maximize SINR by adjusting its transmit waveform under Peak to Average power Ratio (PAR) constraint. Conversely, the target player is intelligent to avoid being detected by controlling i...Show More
Game theoretic adaptive algorithms can be successfully applied for distributed intelligent Cognitive Wireless Sensor Networks (CWSNs). The use of these algorithms avoids weaknesses of centralized CWSNs. In this paper, a noncooperative spectrum sharing game theoretic approach for CWSNs is proposed to determine the optimum spectrum demand. The main objectives of this approach are improving the flexi...Show More
In the last years, mobile devices need more and more transmission capacity, despite the development of the number and the performance of network interfaces, these latter cannot be fully utilized by the most applications. In this paper, we propose a solution to the network resource allocation problem under the selfish behavior of mobile applications with multiple connections to a several available ...Show More
Computation offloading to edge-computing technologies is highly desirable to enable the use of low-latency computation intensive mobile-applications. To meet the desired latency requirements, overloaded cloudlets can further offload the incoming job requests to their under-loaded neighbor cloudlets. A novel economic and non-cooperative continuous-kernel game theoretic model is proposed to analyze ...Show More
This paper studies game-based power control of cognitive radio networks based on spectrum sharing. First, a power control algorithm of Stackelberg game with nonlinear link cost function is proposed to improve the fairness of the system and reduce the transmission power of secondary users as much as possible. For cognitive radio, multi-user detection can be used to further reduce interference betwe...Show More