• 제목/요약/키워드: equilibrium analysis

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협력적 가격차별 수단으로서의 일시적 가격할인 (Temporal Price Reduction as Cooperative Price Discrimination)

  • 송재도
    • Asia Marketing Journal
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    • 제12권2호
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    • pp.135-154
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    • 2010
  • 이 연구는 교체비용이 존재하는 상황에서 복점기업간 경쟁을 다룬다. 분석에서는 일시적 가격할인 현상이 순수전략균형(Pure Strategy Equilibrium)의 결과일 수 있음을 보인다. 이는 기존 대다수 연구들에서 일시적 가격할인 현상을 혼합전략균형(Mixed Strategy Equilibrium)의 결과로 해석해왔던 것과 구별된다. 본 연구에서 구해진 일시적 가격할인의 순수전략균형 하에서 기업들은 정규가격만을 제공하는 경우보다 높은 이윤을 얻게 되며, 이러한 현상은 일시적 가격할인이 충성가입자와 비충성 가입자간 가격차별의 역할을 수행하는 것에 기인한다. 한편 본 연구에서는 기업들이 정규가격과 할인가격을 적절히 조정함으로써 충성가입자들의 수를 통제할 수 있음을 가정하고 있다. 이를 통해 기업들은 정규가격 수준을 일정 수준 이상으로 유지함으로써 충성가입자들의 수를 지나치게 늘리지 않으려는 유인이 있음을 보인다.

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송전선 혼잡시의 복합전략 내쉬균형에 대한 선도-추종자 모형 해석 (Leader-Follower Model Analysis on Mixed Strategy Nash Equilibrium of Electricity Market with Transmission Congestion)

  • 이광호
    • 전기학회논문지
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    • 제61권2호
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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.

비선형 내점법을 이용한 전력시스템의 평형점 최적화 (Power System Equilibrium Optimization (EOPT) with a Nonlinear Interior Point Method)

  • 송화창;로델 도사노
    • 전기학회논문지
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    • 제56권6호
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    • pp.1000-1006
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    • 2007
  • This paper presents a methodology to calculate an optimal solution of equilibrium to differential algebraic equations for power systems. It employs a nonlinear interior point method to solve the optimization formulation which includes dynamic equations representing the two-axis synchronous generator model with AVR and speed governing controls, algebraic equations, and steady-state nonlinear loads. This paper also adopts two algorithms for the improvement of solution convergence. In power system analysis and control, equilibrium optimization (EOPT) is applicable for diverse purposes that need the consideration of dynamic model characteristics at a steady-state condition.

아파트의 가격형성 메커니즘에 관한 연구 (A Study on the Equilibrium-Pricing Mechanism of Apartment)

  • 정재영;윤태권
    • 한국건축시공학회지
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    • 제8권6호
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    • pp.65-74
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    • 2008
  • The aim is to get comprehensive view point for the price of apartment. Apartment construction cost is the sun of land cost and building cost. Land price reflects the value of location where building stands. When the gap between price and affordability is narrow enough, effective demand promote apartment construction. The today's trends of rising price, which began in apartment housing, spreads to real estates market and finally overall consumer price. Problem is that price is decided only by supplier's interest. Equilibrium-pricing is common process in housing market. However it is important to review hedonic price and the factor of housing services and focused on the affordability of demanders. AHP analysis was used to study real needs and preference of demanders and dealt with 200 interviewees with brief checklists. We found that social factor is more important than building cost or site development. Especially location of apartment is most important to affect environment quality and accessibility to facilities.

STABILITY PROPERTIES OF A DELAYED VIRAL INFECTION MODEL WITH LYTIC IMMUNE RESPONSE

  • Song, Fang;Wang, Xia;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1117-1127
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    • 2011
  • In this paper, a class of more general delayed viral infection model with lytic immune response is proposed by Song et al.[1] ([Journal of Mathematical Analysis Application 373 (2011), 345-355). We derive the basic reproduction numbers $R_0$ and $R_0^*$ 0 for the viral infection, and establish that the global dynamics are completely determined by the values of $R_0$ and $R_0^*$. If $R_0{\leq}1$, the viral-free equilibrium $E_0$ is globally asymptotically stable; if $R_0^*{\leq}1$ < $R_0$, the immune-free equilibrium $E_1$ is globally asymptotically stable; if $R_0^*$ > 1, the chronic-infection equilibrium $E_2$ is globally asymptotically stable by using the method of Lyapunov function.

3단형 과학로켓 탑재부 극초음속 공력특성 연구 (Numerical Study on Hypersonic Characteristics of the KSR-Ⅲ Payload)

  • 이장연
    • 한국전산유체공학회지
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    • 제6권2호
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    • pp.32-39
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    • 2001
  • Hypersonic analysis on the KSR-Ⅲ payload configuration has been performed using an axisymmetric Navier-Stokes code. A numerical code based on the Harten and Yee's upwind TVD scheme with simplified curve fits in the chemically reacting equilibrium air was developed. The carbuncle phenomenon on detached shock in front of the payload is controlled by using pressure gradients to tune the dissipation. Chemically reacting equilibrium computations for the reentry flight conditions of Mach No. 10.2, 8, 4.9 are presented and compared with the results of calorically perfect gas.

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Alternative Capturability Analysis of PN Laws

  • Ryoo, Chang-Kyung;Kim, Yoon-Hwan;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
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    • 제7권2호
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    • pp.1-13
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    • 2006
  • The Lyapunov stability theory has been known inadequate to prove capturability of guidance laws because the equations of motion resulted from the guidance laws do not have the equilibrium point. By introducing a proper transformation of the range state, the original equations of motion for a stationary target can be converted into nonlinear equations with a specified equilibrium subspace. Physically, the equilibrium subspace denotes the direction of missile velocity to the target. By using a single Lyapunov function candidate, capturability of several PN laws for a stationary target is then proved for examples. In this approach, there is no assumption of the constant speed missile. The proposed method is expected to provide a unified and simplified scheme to prove the capturability of various kinds of guidance laws.

Finite Volume Analysis of a Supersonic Non-Equilibrium Flow Around an Axisymmetric Blunt Body

  • Haoui, R.
    • International Journal of Aeronautical and Space Sciences
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    • 제11권2호
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    • pp.59-68
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    • 2010
  • The aim of this work is to analyze high temperature flows around an axisymmetric blunt body taking into account chemical and vibrational non-equilibrium state for air mixture species. For this purpose, a finite volume methodology is employed to determine the supersonic flow parameters around the axisymmetric blunt body. This allows the capture of a shock wave before a blunt body placed in supersonic free stream. The numerical technique uses the flux vector splitting method of Van Leer. Here, adequate time stepping parameters, along with Courant, Friedrich, Lewis coefficient and mesh size level are selected to ensure numerical convergence, sought with an order of $10^{-8}$.

발전기 최대용량 제약이 현물시장의 내쉬균형에 미치는 영향에 대한 해석적 분석 (An Analytical Effects of Maximum Quantity Constraint on the Nash Solution in the Uniform Price Auction)

  • 김진호;박종배;박종근
    • 대한전기학회논문지:전력기술부문A
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    • 제52권6호
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    • pp.340-346
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    • 2003
  • This paper presents a game theory application for an analysis of uniform price auction in a simplified competitive electricity market and analyzes the properties of Nash equilibrium for various conditions. We have assumed that each generation firm submits his bid to a market in the form of a sealed bid and the market is operated as a uniform price auction. Two firms are supposed to be the players of the market, and we consider the maximum generation quantity constraint of one firm only. The system demand is assumed to have a linear relationship with market clearing prices and the bidding curve of each firm, representing the price at which he has a willingness to sell his generation quantity, is also assumed to have a linear function. In this paper, we analyze the effects of maximum generation quantity constraints on the Nash equilibrium of the uniform price auction. A simple numerical example with two generation firms is demonstrated to show the basic idea of the proposed methodology.

전력거래에서의 내쉬균형점 해석을 위한 Bimatrix 게임 기법 연구 (Bimatrix Game Approach to Power System Market Analysis)

  • 이광호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 하계학술대회 논문집 A
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    • pp.380-382
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    • 2002
  • An important aspect of the study of power system markets involves the assessment of strategic behavior of participants for maximizing their profits. In models of imperfect competition of a deregulated electricity system the key task is to find the Nash equilibrium. In this paper, the bimatrix approach for finding Nash equilibria in electricity markets is investigated. This approach determines pure and mixed equilibria using the complementarity pivot algorithm. The mixed equilibrium in the matrix approach has the equal number of non-zero property. This property makes it difficult to reproduce a smooth continuous distribution for the mixed equilibrium. This paper proposes an algorithm for adjusting the quantization value of discretization to reconstruct a continuous distribution from a discrete one.

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