• 제목/요약/키워드: NASH

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IMBEDDINGS OF MANIFOLDS DEFINED ON AN 0-MINIMAL STRUCTURE ON (R,+,.,<)

  • Kawakami, Tomohiro
    • 대한수학회보
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    • 제36권1호
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    • pp.183-201
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    • 1999
  • Let M be an 0-minimal structure on the standard structure :=( , +, ,<) of the field of real numbers. We study Cr -G manifolds (0$\leq$r$\leq$w) which are generalizations of Nash manifolds and Nash G manifolds. We prove that if M is polynomially bounded, then every Cr -G (0$\leq$r<$\infty$) manifold is Cr -G imbeddable into some n, and that if M is exponential and G is a compact affine Cw -G group, then each compact $C\infty$ -G imbeddable into some representation of G.

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A study on the nash equilibrium of the price of insurance

  • Min, Jae-Hyung
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1992년도 춘계공동학술대회 발표논문 및 초록집; 울산대학교, 울산; 01월 02일 May 1992
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    • pp.403-412
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    • 1992
  • This note examines a situation where a risk-neutral insurer and a risk-averse individual (prospective insured) negotiate to reach an arbitration point of the price of insurance over the terms of an insurance contract in order to maximize their respective self-interests. The situation is modeled as a Nash bargaining problem. We analyze the dependence of the price of insurance, which is determined by the Nash solution, on the parameters such as the size of insured loss, the probability of a loss, the degree of risk-aversion of the insured, and the riskiness of loss distribution.

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미분게임 일반모형에 대한 Nash 균형해의 존재증명 (Existence Proffs of a Nash Equilibrium to a General Class of Differential Games)

  • Kim, Yang-Yul
    • 한국경영과학회지
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    • 제14권2호
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    • pp.97-104
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    • 1989
  • This paper extends the existence proofs of a Nash equilibrium to a more general class of differentila game models with constraints on the control spaces. With the assumptions of continuity, convexity, and compactness, the existence is proved using Kakutani Theorem and via a path-following approach. Furthermore, the proof for a period-by-period optimization of multi-period problems provides an insight to a numerical solution algorithm to differential game models with constraints.

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전력거래에서 제약조건이 고려된 내쉬 균형점의 복합전략 연구 (Mixed Strategy of Nash Equilibrium in Power Transaction With Constraints)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제51권4호
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    • pp.196-201
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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 for imperfect competition of a deregulated system, the key tack is to find the Nash equilibrium. When the constraints are not considered in the power market, the equilibrium has the form of a pure strategy. However, the constraints are considered, the equilibrium has the form of a mired strategy. In this paper the bimatrix game approach leer finding a mixed equilibrium is analyzed. The Nash equilibrium of a mixed strategy will be used adequately for the analysis of market power.

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.

Overview of RCT for Non-Alcoholic Fatty Liver Disease and Non-Alcoholic Steatohepatitis

  • Son, Chang-Gue
    • 대한한의학회지
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    • 제32권3호
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    • pp.44-49
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    • 2011
  • Objective: This study aimed to get information on the current status of therapies to date for non-alcoholic fatty liver disease (NAFLD), including non-alcoholic steatohepatitis (NASH). Methods: All randomized clinical controlled trial (RCT)-derived papers for NAFLD or NASH were reviewed via PubMed Database. Results: 39 RCTs met the review criteria, of which 15 and 24 papers were for NAFLD and NASH, respectively. 83% of the papers were released since 2006, and 30 studies were conducted for western medicines, antioxidants and lifestyle intervention whereas nine trials were done using herbal medicine or acupuncture which showed positive outcome. Conclusions: NAFLD and NASH are new epidemic disorders which can be a target of traditional Oriental medicine. This study will be helpful for the Oriental medicine-based strategies or therapeutic development for them.

PSO-optimized Pareto and Nash equilibrium gaming-based power allocation technique for multistatic radar network

  • Harikala, Thoka;Narayana, Ravinutala Satya
    • ETRI Journal
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    • 제43권1호
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    • pp.17-30
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    • 2021
  • At present, multiple input multiple output radars offer accurate target detection and better target parameter estimation with higher resolution in high-speed wireless communication systems. This study focuses primarily on power allocation to improve the performance of radars owing to the sparsity of targets in the spatial velocity domain. First, the radars are clustered using the kernel fuzzy C-means algorithm. Next, cooperative and noncooperative clusters are extracted based on the distance measured using the kernel fuzzy C-means algorithm. The power is allocated to cooperative clusters using the Pareto optimality particle swarm optimization algorithm. In addition, the Nash equilibrium particle swarm optimization algorithm is used for allocating power in the noncooperative clusters. The process of allocating power to cooperative and noncooperative clusters reduces the overall transmission power of the radars. In the experimental section, the proposed method obtained the power consumption of 0.014 to 0.0119 at K = 2, M = 3 and K = 2, M = 3, which is better compared to the existing methodologies-generalized Nash game and cooperative and noncooperative game theory.

배수경로의 이질성을 기반으로 한 Nash 모형의 매개변수 동정 (Identification of Nash Model Parameters Based on Heterogeneity of Drainage Paths)

  • 최용준;김주철;정관수
    • 한국수자원학회논문집
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    • 제43권1호
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    • pp.1-13
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    • 2010
  • 본 연구에서는 배수경로 이질성에 의한 격자 기반 지형학적 순간단위도 이론으로 부터 Nash 모형 매개변수를 최초로 동정하였다. 동정된 매개변수는 지표면 유동 및 지형학적 분산을 고려하며, 지리정보체계에 의해 유역의 지형인자들을 손쉽게 추출함으로써 모형의 정확성 및 효용성을 높였다는 점에 의미를 둘 수 있다. 모형의 검증을 위해 동정된 매개변수에 의해 계산된 결과를 실제 관측치와 비교하였다. 계산유출수문곡선과 관측수문곡선의 비교 결과 비교적 잘 일치하는 경향을 보였다. 또한 지표면과 하천의 특성유속에 따른 지체시간 및 분산의 변화양상을 살펴본 결과, 지표면 특성유속에 매우 민감하게 반응함을 알 수 있었다. 따라서 본 모형의 적용시 지표면 특성유속 산정에 세심한 주의가 필요할 것으로 판단된다.

신집수형상디스크립터와 Nash 모형의 지체시간 사이의 상관성 분석 (The Correlation Analysis Between New Catchment Shape Descriptor and The Lag Time of Nash Model)

  • 김주철;정관수;김재한
    • 한국수자원학회논문집
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    • 제37권12호
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    • pp.1065-1074
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    • 2004
  • 본 연구는 Moussa(2003)에 의하여 개발된 등가타원을 기반으로 한 신집수형상디스크립터에 대한 소개 및 수문학적 적용성 평가를 목적으로 한다. 두 디스크립터 a+b, a+b+${\varepsilon}OM$과 지체시간 사이의 상관성 분석이 수행되었고 이를 Nash 모형 매개변수들의 대표치 산정에 적용하였다. 본 연구의 실용성을 조사하기 위하여 한강 수계의 평창강 유역, 금강 수계의 보청천 유역 그리고 낙동강 수계의 위천 유역들에 각각 이 디스크립터특이 적용되었다. 그 결과, 두 디스크립터는 양자 모두 고전적 지형인자들에 비하여 지체시간과 높은 상관성을 보여 Moussa(2003)가 제시한 연구 결과를 국내 유역으로부터 확인할 수 있었고 실제 적용강의 간편성을 위하여 전자가 추천된다. 또한 본 연구로부터 유도된 대표순간단위도들은 일관성 있는 유역응답특성을 보여 신집수형상디스크립터의 수문학적 적용성을 확인 할 수 있었다. 앞으로 보다 많은 유역들에 대한 사례분석이 필요한 것으로 판단된다.