• Title/Summary/Keyword: Cournot Equilibrium

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Bilateral Trade and Productivity Differences in a Ricardo-Cournot Model

  • Song, E. Young
    • Journal of Korea Trade
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    • v.25 no.4
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    • pp.88-107
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    • 2021
  • Purpose - Using a model that highlights Ricardian comparative advantage and Cournot competition, I derive theoretical predictions on how bilateral measures of trade intensity, specialization, and intra-industry are interrelated, and how Ricardian productivity differences affect these measures. We test the predictions using trade and production data, and confirm them. Design/methodology - A simple two-country general equilibrium model is constructed to derive theory-based bilateral indexes. We then test the relationships among them using panel data for 35 countries and 14 industries between 1996 and 2008. Findings - Bilateral trade intensity is increasing in specialization, as in the classical trade theory, and in intra-industry trade, as in the new trade theory. However, productivity differences positively affect specialization, and negatively affect intra-industry trade. These effects cancel each other; thus productivity differences have little impact on trade intensity. Originality/value - This paper provides a comprehensive conceptual framework for understanding the relationship among trade intensity, specialization, intra-industry trade, and productivity differences. We derive theory-consistent measures of specialization, intra-industry trade, and productivity differences. Moreover, we reevaluate the empirical relevance of these variables for the study of gravity equations. This paper is also an effort to capture oligopolistic competition in a general equilibrium framework, interests in which recently resurged.

A Study on the International R&D Competition and Optimal Tariff (국제 R&D 경쟁과 최적관세)

  • Li, Dong-Sheng;Lee, Jong-Min
    • Korea Trade Review
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    • v.41 no.2
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    • pp.29-60
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    • 2016
  • Research and Development(R&D) investment is an issue of central importance in any economy. In this paper we analyze the relationship between R&D spillovers and trade-related variables, using a two-stage model where duopolists simultaneously decide on R&D in the first stage and engage in Cournot competition in the second stage. We characterized and compared the free-trade and trade-restriction R&D equilibrium in a two-stage game of R&D investment followed by Cournot market competition. We also assessed the impact of varying the R&D spillover on the equilibrium outcomes and tariff. We showed for both free trade and protection cases that there exists a unique symmetric solution(subgame perfect Nash equilibrium). As the solution, while analytical, cannot be stated in closed form, we resorted to numerical experiments to investigate the equilibrium results. Our estimates indicate for both free trade and protection cases that the level of R&D investment and the rate of R&D expenditure decrease as the degree of R&D spillovers increases, and that there is an inverse relation between the degree of R&D spillovers and level of protection. The latter implies that the larger the degree of R&D spillovers, the lesser the level of protection.

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Efficiency of the Emission Trading Scheme in Imperfectly Competitive Markets (불완전경쟁시장에서의 배출권 거래제도의 효율성)

  • Yoon, Kyoung-soo
    • 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.

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A Study on the Selection of Slack Bus at Application of Marginal Loss-Factor in a Competitive Electricity Market (경쟁적 전력시장에서 한계손실계수 적용시 기준모선 선정에 대한 연구)

  • Kim, Sang-Hoon;Lee, Kwang-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.2
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    • pp.264-269
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    • 2009
  • Marginal Loss Factor(MLF) is represented as the sensitivity of transmission loss, which is computed from the change of the generation at slack bus by the change of the load at the arbitrary bus. The MLF dependent on the selection of slack bus is one of the key factors affecting nodal pricing, Genco's profits, social welfare(SW) and Nash Equilibrium in a competitive electricity market. This paper addresses the methodology of slack bus selection by using Cournot model of Cost Based Pool market. Numerical results from sample cases show that the slack bus of MLF of the highest average is beneficial from the view points of SW.

Analysis on Market Power in Power Transaction with Transmission Constraints (송전선 제약조건에 따른 전력거래에서의 시장지배력 연구)

  • Lee, Gwang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.8
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    • pp.403-408
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    • 2002
  • As the electricity industry undergoes a process of fundamental restructuring, horizontal market power appears as a potential obstacle to a fully competitive wholesale electricity market. Market power is the ability profitably to maintain prices above competitive levels by restricting output below competitive levels. In models for imperfect competition under the consideration of the transmission constraints, the Nash equilibrium has the form of a mixed strategy. In this paper, the models for analyzing imperfect competition are compared using the solution of pure and mixed equilibria. The relation between market power and the capacity of a transmission line is investigated by imperfect competition analysis methods: Cournot, Bertrand, and Supply Curve model.

Solving Mixed Strategy Nash-Cournot Equilibria under Generation and Transmission Constraints in Electricity Market

  • Lee, Kwang-Ho
    • Journal of Electrical Engineering and Technology
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    • v.8 no.4
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    • pp.675-685
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    • 2013
  • Generation capacities and transmission line constraints in a competitive electricity market make it troublesome to compute Nash Equilibrium (NE) for analyzing participants' strategic generation quantities. The NE can cause a mixed strategy NE rather than a pure strategy NE resulting in a more complicated computation of NE, especially in a multiplayer game. A two-level hierarchical optimization problem is used to model competition among multiple participants. There are difficulties in using a mathematical programming approach to solve a mixed strategy NE. This paper presents heuristics applied to the mathematical programming method for dealing with the constraints on generation capacities and transmission line flows. A new formulation based on the heuristics is provided with a set of linear and nonlinear equations, and an algorithm is suggested for using the heuristics and the newly-formulated equations.

An Analysis on the Generation Market Using Stackelberg Game Equilibrium (슈타켈버그 게임을 이용한 발전경쟁시장의 균형 분석)

  • Kim, Jin-Ho;Park, Jong-Bae;Park, Jun-Ho
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.775-777
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    • 2005
  • In this paper, effects of the subsidy in the electricity market on the market equilibrium are analyzed. The generation competition markets are considered as the basic market structure. The market equilibrium with Cournot game model is derived, first. Then, the variation of Nash equilibrium is investigated when the subsidies to generation companies are provided. The market equilibrium with the subsidy in the electricity market, which is equivalent to the subgame perfect equilibrium, is analytically derived using Stackelberg game model and backward induction method. From this, how the provisions of subsidy to generation companies can affect the strategic behaviors of the generation companies and corresponding market equilibrium are explored, in this paper. Numerical examples are provided to illustrate the basic idea of this paper.

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Econometric Study on Forecasting Demand Response in Smart Grid (스마트그리드 수요반응 추정을 위한 계량경제학적 방법에 관한 연구)

  • Kang, Dong Joo;Park, Sunju
    • KIPS Transactions on Computer and Communication Systems
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    • v.1 no.3
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    • pp.133-142
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    • 2012
  • Cournot model is one of representative models among many game theoretic approaches available for analyzing competitive market models. Recent years have witnessed various kinds of attempts to model competitive electricity markets using the Cournot model. Cournot model is appropriate for oligopoly market which is one characteristic of electric power industry requiring huge amount of capital investment. When we use Cournot model for the application to electricity market, it is prerequisite to assume the downward sloping demand curve in the right direction. Generators in oligopoly market could try to maximize their profit by exercising the market power like physical or economic withholding. However advanced electricity markets also have demand side bidding which makes it possible for the demand to respond to the high market price by reducing their consumption. Considering this kind of demand reaction, Generators couldn't abuse their market power. Instead, they try to find out an equilibrium point which is optimal for both sides, generators and demand. This paper suggest a quantitative analysis between market variables based on econometrics for estimating demand responses in smart grid environment.

A Study on Evaluation Method of Mixed Nash Equilibria by Using the Cournot Model for N-Genco. in Wholesale Electricity Market (도매전력시장에서 N명 발전사업자의 꾸르노 모델을 이용한 혼합 내쉬 균형점 도출 방법론 개발 연구)

  • Lim, Jung-Youl;Lee, Ki-Song;Yang, Kwang-Min;Park, Jong-Bae;Shin, Joong-Rin
    • 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.

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Strategic Trade Policies under International Process R&D Competition with or without Market Leaders

  • Yang, Il-Seok
    • Journal of Korea Trade
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    • v.24 no.2
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    • pp.53-67
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    • 2020
  • Purpose - The purpose of this paper is to study strategic trade policies under international process research and development (R&D) competition with or without market leaders for free trade and a subsidy regime and compare the effects of R&D subsidies and export subsidies on the equilibrium levels of firm profit and social welfare. Design/methodology - For the analysis, we use previous work by Haaland and Kind (2008) and construct a differentiated goods duopoly model, wherein two firms compete via quantity in a third-country market for free trade and the subsidy regime. We consider simultaneous-move quantity competition when the two firms choose their quantities simultaneously and sequential-move quantity competition when they choose their quantities sequentially. The results are compared to those of Balboa, Daughety and Reinganum (2004), who studied export subsidies. Findings - The following are the findings. First, the results of firm preference orderings regarding firm position from Dowrick (1986) and Balboa, Daughety and Reinganum (2004) may not hold in our model when the firms' strategies are strategic substitutes under free trade. Second, the preference rankings under Cournot competition for free trade and a subsidy regime are the same as those in the strategic trade policy of export subsidy. Third, except for the cases of too close substitutes and complements, the results of firm and government preferences regarding firm position are different from those of Balboa, Daughety and Reinganum (2004) in that Stackelberg leadership in a subsidy regime is advantageous when the goods are substitutes but is disadvantageous when the goods are complements. Moreover, the equilibrium level of firm profit is the highest in the Cournot-Nash play when the goods are substitutes in a subsidy regime. Fourth, except for the cases of too close substitutes and complements, the results of firms' and their respective governments' trade regime preferences are similar to those of Balboa, Daughety and Reinganum (2004) in that a Stackelberg leader firm and government prefer free trade if the goods are substitutes and prefer a subsidy regime if the goods are complements. Furthermore, a Stackelberg follower firm and government strongly prefer a subsidy regime to free trade. Originality/value - By analyzing the effects of R&D subsidies and export subsidies in international markets, we can find similarities and differences between them in international markets.