• Title/Summary/Keyword: NASH

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

  • Kawakami, Tomohiro
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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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
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1992.04b
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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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Existence Proffs of a Nash Equilibrium to a General Class of Differential Games (미분게임 일반모형에 대한 Nash 균형해의 존재증명)

  • Kim, Yang-Yul
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.2
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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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Mixed Strategy of Nash Equilibrium in Power Transaction With Constraints (전력거래에서 제약조건이 고려된 내쉬 균형점의 복합전략 연구)

  • Lee, Gwang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.4
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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.

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

  • 김진호;박종배;박종근
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.6
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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
    • The Journal of Korean Medicine
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    • v.32 no.3
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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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    • v.43 no.1
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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.

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

  • Choi, Yong-Joon;Kim, Joo-Cheol;Jung, Kwan-Sue
    • Journal of Korea Water Resources Association
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    • v.43 no.1
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    • pp.1-13
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    • 2010
  • For the first time, this study identifies Nash model parameters by GIUH theory based on grid of GIS with heterogeneity of drainage path. Identified parameters have advantages to improve accuracy and usefulness with considering hillslpoe-flow, geomorphological dispersion and easily extracting geomorphological factors by GIS in the watershed. Calculated results by identified parameters compare with observation data for verification of this model. The comparison is well correspondence between observed data and calculated results. And the comparison results of changing trends about lag time and the variance as hillslope and channel characteristic velocities sensitively present changes about hillslope characteristic velocity. Thus this model justifies that estimation of hillslope characteristic velocity demands with the great caution.

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

  • Kim, Joo-Cheol;Jung, Kwan-Sue;Kim, Jae-Han
    • Journal of Korea Water Resources Association
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    • v.37 no.12
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    • pp.1065-1074
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    • 2004
  • This study aims at the introduction of new catchment shape descriptor, developed by Moussa(2003), based on equivalent ellipse and the assessment of its hydrologic applicability. Two descriptors a+b and a+b+${\varepsilon}OM$were correlated to the lag time and those were applied to the estimation of representative values of Nash model parameters. They are applied in order to examine the practicality to 3 catchments in Korea, catchments in Korea, respectively, i.e. Pyeongchanggang catchment in Han river, Bocheongcheon catchment in Geum river and Wicheon catchment in Nakdong river. As a result both of two descriptors show higher correlations to the lag lime than classical geomorphologic factors and hereby Moussa's suggestion(2003) is confirmed. For the sake of simplicity the former is recommended. Also representative IUHs derived from this study show consistent basin response characteristics. It is desirable to conduct further more case studies on many other basins.