• Journal of the Korean Institute of Intelligent Systems
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• v.24 no.4
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• pp.379-384
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• 2014

This paper proposes a Cournot model that can be used to analyze the strategic behaviors of generation companies which try to maximize their profits in an imperfectly competitive electricity and carbon markets. The proposed model consists of two parts. First, the strategic behaviors of generation companies are modeled based on the Cournot theory. Second, the market operation is modeled based on the assumption that the market operator tries to maximize the total social welfare in consideration of environmental welfare. To find the Nash equilibrium of the proposed model, the two-level optimization technique is used. The proposed method has been applied to an illustrative example of oligopolistic markets. We found that the proposed method has strong potential to analyze the influence of the strategic biddings of the generation companies and the impact of renewable generator on markets where the competitiveness of the markets is not fully developed.

• The Transactions of the Korean Institute of Electrical Engineers A
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• v.54 no.2
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• pp.97-106
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• 2005

This paper presents a method for evaluating the nash equilibrium of the Cournot model for N-Gencos in wholesale electricity market. In wholesale electricity market, the strategies of N-Gencos can be applied to the game model under the conditions, which the Gencos determine their strategies to maximize their benefit. Generally, the Lemke algorithm has known as the approach to evaluate the mixed nash equilibrium in the only two-player game model. In this paper, we have developed the necessary condition for obtaining the mixed nash equilibrium of N-player by using the Lemke algorithms. However, it is difficult to find the mixed nash equilibrium of two more players by using the analytic method since those have the nonlinear characteristics. To overcome the above problem, we have formulated the object function satisfied with the proposed necessary conditions for N-player nash equilibrium and applied the modified particle swarm optimization (PSO) method to obtain the equilibrium for N-player. To present the effectiveness the proposed necessary condition and the evaluation approach, this paper has shown the results of equilibrium of sample system and the cournot game model for 3-players.

• The Transactions of The Korean Institute of Electrical Engineers
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• v.61 no.2
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• pp.187-193
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• 2012

Nash Equilibrium (NE) is as useful tool for investigating a participant's strategic generation quantity in a competitive electricity market. Cournot model may give a mixed strategy NE instead of a pure strategy when transmission constraints are considered. A mixed strategy is difficult to compute, complicated to understand conceptually, and hard to implement in an electricity market practically. This paper presents that a mixed strategy does not appear in Stackelberg leader-follower model even under a transmission congestion. A solution method is proposed for the leader-follower model under a nondifferentiable space of a strategy variable. Based on the pure strategy NE with a transmission line congested, the merit of leader-follower model is shown from a social welfare point of view.

• KDI Journal of Economic Policy
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• v.34 no.2
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• pp.173-204
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• 2012

This study examines the equilibrium investment on the pollution abatement when firms are facing Cournot competition in the output market while the pollution permit market is perfectly competitive. Unlike standard perfect competition scenario, the abatement investment delivers an indirect effect in which it reduces other firms' equilibrium output. Consequently, compared with the socially optimal level, overinvestment arises. I also overview the potential inefficiencies that imperfect market structure induces under the emission trading scheme, presenting policy implications.

• Proceedings of the KIEE Conference
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• 2007.07a
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• pp.838-839
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• 2007

전력산업의 시장구조는 과점형태의 불완전 경쟁의 구조로 해석하는 것이 일반적이다. 또한 전기의 물리적 특성상 송전선로에서는 전력손실이 발생하게 되는데, 본 논문은 과점시장 모델로서 쿠르노(Cournot)모델을 사용하여 손실을 포함한 내쉬 균형점을 해석한다. 지역별 한계가격(Locational Marginal Price ; LMP)와는 달리 계통한계가격(System Marginal Price ; SMP)는 손실에 대한 가격신호를 시장에 반영하기 어렵기 때문에 손실과 함께 한계송전손실계수(Marginal Loss Factor ; MLF)를 적용하여 균형상태의 시장거래가치를 비교분석한다.

• Journal of Environmental Policy
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• v.14 no.4
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• pp.63-101
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• 2015

Banking and borrowing under the ETS may affect the low carbon technology investment level. If the indirect implementation measures are allowed, firms can gradually adjust their carbon reduction costs between implementation periods based on their carbon reduction costs and emission price forecasts. This implies that banking and borrowing may reduce or increase the level of low carbon technology R&D investment. In an oligopoly market, the effects of the measures are quite different from the ones in a perfectly competitive market. This is because the indirect implementation measures can shift market competition in Cournot competition model. The effects of banking and borrowing on the carbon reduction R&D investments depend on emission reduction costs, marginal production costs, discount rate, initial free allocation, and the cost reduction effects of R&D investment.

• Proceedings of the KIEE Conference
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• 2003.07a
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• pp.639-642
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• 2003

This paper presents a method for evaluating the mixed nash equilibria of the Cournot model for N-Gencos. in wholesale electricity market. In the wholesale electricity market, the strategies of N-Genco. can be applied to the game model under the conditions which the Gencos. determine their stratgies to maximize their benefit. Generally, the Lemke algorithm is evaluated the mixed nash equlibria in the two-player game model. However, the necessary condition for the mixed equlibria of N-player are modified as the necessary condition of N-1 player by analyzing the Lemke algorithms. Although reducing the necessary condition for N-player as the one of N-1 player, it is difficult to and the mixed nash equilibria participated two more players by using the mathmatical approaches since those have the nonlinear characteristics. To overcome the above problem, this paper presents the generalized necessary condition for N-player and proposed the object function to and the mixed nash equlibrium. Also, to evaluate the mixed equilibrium through the nonlinear objective function, the Particle Swarm Optimization (PSO) as one of the heuristic algorithm are proposed in this paper. To present the mixed equlibria for the strategy of N-Gencos. through the proposed necessry condition and the evaluation approach, this paper proposes the mixed equilibrium in the cournot game model for 3-players.

• Proceedings of the KIEE Conference
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• 2003.11a
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• pp.475-478
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• 2003

본 논문에서는 쿠르노 모형을 적용한 양방향입찰 전력 풀시장에서 입찰에 참여하는 발전기가 최대 이익을 얻기 위한 입찰전략으로서 신경회로망의 오차 역전파 알고리즘을 이용하여 최적 입찰발전량과 입찰가격을 수립하는 기법에 관하여 연구한다. 전력시장 환경은 n 개의 발전기들이 참여하는 비협조적 불완전정보 시장으로 설정하고 Bayesian의 조건부 확률이론을 적용하여 상대 발전기들의 발전비용함수와 시장의 수요함수를 추정하여 발전기 상호간 쿠르노-내쉬균형점을 이루는 최적 입찰발전량을 예측한다. 그리고 이익을 극대화시키기 위해 오차 역전파 알고리즘을 이용하여 시장의 가격 탄력성과 쿠르노 시장균형가격에 연결가중치를 조절함으로써 입찰가격이 계통한계가격에 근접하도록 최적 입찰전략을 수립한다.

• Proceedings of the KIEE Conference
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• 2007.07a
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• pp.852-853
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• 2007

재무적 송전권을 고려한 경쟁적 전력시장에서, 송전권을 소유한 발전회사는 송전권 시장에서 얻는 이득과 에너지 시장에서 얻는 이득을 고려하여 전략적으로 발전량을 결정한다. 그러므로 경쟁의 균형 상태에는 발전량에 대한 송전권 시장의 한계이득과 에너지 시장의 한계 이득이 밀접하게 관련 되어 있다. 본 연구는 Cournot 모형을 사용하여, 송전권 시장과 에너지 시장을 결합한 모형화를 시도하며 최적화 문제로 표현한다. 또한, 사례연구를 활용하여 균형상태에서 송전권 시장과 에너지 시장의 한계이득을 정량적으로 분석한다.

• International Commerce and Information Review
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• v.13 no.4
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• pp.399-410
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• 2011

Traditionally, tariffs have been used to protect domestic industries. In particular, a country with more bargaining power makes a punitive threat to maintain a certain level of market share in the market of other country. In this paper, we study the effect of punitive tariffs on an irrelevant industry. In particular, when a country tries to achieve a market share or quantity target in an industry, we examine the effect of threats to impose tariffs on the major export of another industries which are irrelevant to the targeted industry. Using a simple duopoly model, we show that there is a Cournot-Nash equilibrium which supports that a country has an incentive to resolve a trade dispute voluntarily to protect its major export industry under the credible treat of punitive tariffs. This result is mainly due to the fact that the trade policy of a country concerns the aggregate benefits from trade over all its export industries. To obtain this result, this paper employs the linkage between the targeted and irrelevant industries by using the lobby of the irrelevant industry to curb the targeted industry. A lot of recent bilateral trade agreements can be applied to our results.