• 한국콘텐츠학회논문지
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• 제16권7호
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• pp.146-153
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• 2016

본 연구에서는 연속시간 M/M/1 대기행렬 시스템에서 고객들의 평형행동과 서버의 최적 가격책정 전략에 대해 다룬다. 본 연구에서는 두가지 유형의 가격지불 모형을 고려한다. 첫 번째로, 정액지불 모형은 고객의 시스템 내 체류시간에 관계없이 고정된 요금을 부과한다. 두 번째로, 정률지불 모형은 고객의 시스템 내 체류시간에 비례하여 요금을 부과한다. 각 지불 모형에서 시스템을 이탈하는 고객의 보상은 체류시간에 반비례한다. 본 연구는 각 가격지불 모형에서 단위시간당 서버의 기대수익을 최대화하기 위한 가격책정 전략과 그 전략에 따른 고객의 시스템 입장행동에 대해 분석한다. 마지막으로 수치예제를 통해 정액지불 모형과 정률지불 모형을 비교분석하고, 서버측면에서 어떤 가격지불 모형을 선택해야하는 지를 살펴본다.

• 대한산업공학회지
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• 제13권2호
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• pp.65-77
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• 1987

Congestion occurs whenever users interfere with each other, while competing for scarce resources. In a congested market, such as a telecommunication service market, users of telecommunication services incur costs in using the service in addition to the price. The user's own time costs involved in learning to use the service, waiting for the service, and making use of the service are typically greater than the price of telecommunication services. A market equilibrium analysis is performed in which a method for user demand aggregation is developed. The effects of price changes on user demands and market demands for congested services are examined. It is found that total market demands may increase as the price for less-congested services increase under certain demand conditions. This suggests that a nonuniform pricing scheme for a congested service may improve the utilization of the congested system. The sign of price cross-elasticity for congested services is show to vary with demand conditions. A possible complementary property of congested services is found and the implication of such a property is discussed. It is argued that such a complementary property may lead to a cross subsidy in a market with congestion. Finally, comparisons between uniform pricing and nonuniform pricing policies are made. A specific numerical example is given to show that a nonuniform pricing policy may be Pareto superior to a uniform pricing policy.

• Asia Marketing Journal
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• 제16권1호
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• pp.35-69
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• 2014

The impact of competition on pricing has been studied in the context of counterfactual merger analyses where expected optimal prices in a hypothetical monopoly are compared with observed prices in an oligopolistic market. Such analyses would typically assume static decision making by consumers and firms and thus have been applied mostly to data obtained from consumer packed goods such as cereal and soft drinks. However such static modeling approach is not suitable when decision makers are forward looking. When it comes to the markets for durable products with indirect network effects, consumer purchase decisions and firm pricing decisions are inherently dynamic as they take into account future states when making purchase and pricing decisions. Researchers need to take into account the dynamic aspects of decision making both in the consumer side and in the supplier side for such markets. Firms in a two-sided market typically subsidize one side of the market to exploit the indirect network effect. Such pricing behaviors would be more prevalent in competitive markets where firms would try to win over the battle for standard. While such qualitative expectation on the relationship between pricing behaviors and competitive structures could be easily formed, little empirical studies have measured the extent to which the distinct pricing structure in two-sided markets depends on the competitive structure of the market. This paper develops an empirical model to measure the impact of competition on optimal pricing of durable products under indirect network effects. In order to measure the impact of exogenously determined competition among firms on pricing, we compare the equilibrium prices in the observed oligopoly market to those in a hypothetical monopoly market. In computing the equilibrium prices, we account for the forward looking behaviors of consumers and supplier. We first estimate a demand function that accounts for consumers' forward-looking behaviors and indirect network effects. And then, for the supply side, the pricing equation is obtained as an outcome of the Markov Perfect Nash Equilibrium in pricing. In doing so, we utilize numerical dynamic programming techniques. We apply our model to a data set obtained from the U.S. video game console market. The video game console market is considered a prototypical case of two-sided markets in which the platform typically subsidizes one side of market to expand the installed base anticipating larger revenues in the other side of market resulting from the expanded installed base. The data consist of monthly observations of price, hardware unit sales and the number of compatible software titles for Sony PlayStation and Nintendo 64 from September 1996 to August 2002. Sony PlayStation was released to the market a year before Nintendo 64 was launched. We compute the expected equilibrium price path for Nintendo 64 and Playstation for both oligopoly and for monopoly. Our analysis reveals that the price level differs significantly between two competition structures. The merged monopoly is expected to set prices higher by 14.8% for Sony PlayStation and 21.8% for Nintendo 64 on average than the independent firms in an oligopoly would do. And such removal of competition would result in a reduction in consumer value by 43.1%. Higher prices are expected for the hypothetical monopoly because the merged firm does not need to engage in the battle for industry standard. This result is attributed to the distinct property of a two-sided market that competing firms tend to set low prices particularly at the initial period to attract consumers at the introductory stage and to reinforce their own networks and eventually finally to dominate the market.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권2호
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• pp.151-160
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• 2011

Typically, it is hard to find a closed form solution of option pricing formula under an asset governed by a change point process. In this paper we derive a closed-form solution of the valuation function for an American perpetual put option under an asset having a change point. Structural changes are formulated through a change-point process with a Markov chain. The modified smooth-fit technique is used to obtain the closed-form valuation function. We also guarantee the optimality of the solution via the proof of a corresponding verification theorem. Numerical examples are included to illustrate the results.

• 재무관리연구
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• 제24권4호
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• pp.1-43
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• 2007

전통적인 옵션가격결정모형인 블랙-숄즈 모형(Black-Scholes model)은 기초자산의 로그수익률(log-return)이 브라운운동(Brownian motion)을 따른다는 가정에 기반을 두고 있다. 그러나 이 가정은 현실적인 한계가 많은 것으로 비판을 받아 왔다. 이에 따라 지난 20여 년간 브라운 운동 이외에 새로운 확률과정을 도입한 모형들이 연구되고 도출되었다. 최근에는 레비과정(L$\acute{e}$vy process)에 기반한 모형들이 활발히 연구되어오고 있는데, 그 기원은 1994년 거버(Gerber)와 쉬우(Shiu)에 의한 거버-쉬우 모형(Gerber-Shiu model)이다. 2004년 치앙(Cheang)은, 거버-쉬우 모형이 하나의 레비과정을 가정한 데 비해, 복수의 독립적인 레비과정을 가정하여 옵션가격결정모형을 유도함으로써 거버-쉬우 모형을 추세(drift)와 도약(jump)을 갖는 경우로 확장할 수 있는 가능성을 제시하였다. 본 논문에서는 치앙의 모형을 이용하여 레비과정 하에서의 추세와 도약을 갖는 거버-쉬우 모형을 유도하였다. 여기에 감마분포를 도입하여 1993년에 도출된 헤스톤 모형(Heston model)에 도약을 도입한 형태의 모형을 유도하였다. 아울러 이렇게 유도된 모형에 대하여 KOSPI200 지수 옵션 자료를 사용해서 블랙-숄즈 모형과의 가격설명력을 비교하였다. 그 결과, 본 논문에서 유도된 모형이 블랙-숄즈 모형 이상의 가격설명력을 보이는 것으로 나타났다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 하계학술대회 논문집 A
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• pp.649-651
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• 2003

In the framework of competitive electricity market, the Market Power due to the transmission congestion, lack of demand-side response, various uncertain factors etc. have been significant problem. This paper reviews the market rules of Korea power system and the uplift scheme for constrained on/off generators. Then, this paper points out several problems and the mitigation measures of local market power concerning the compensation for constrained-off generators.

• 한국신재생에너지학회:학술대회논문집
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• 한국신재생에너지학회 2011년도 춘계학술대회 초록집
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• pp.76.1-76.1
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• 2011

With the growing penetration of distributed generation including from renewable sources, smart grid power system is needed to address the reliability problem. One important feature of smart grid is demand response. In order to design a demand response program, it is indispensable to understand how consumer reacts upon the change of electricity price. In this paper, we construct an econometrics model to estimate the hourly price elasticity of demand. This panel model utilizes the hourly load data obtained from KEPCO for the period from year 2005 to 2009. The hourly price elasticity of demand is found to be statistically significant for all the sample under investigation. The samples used for this analysis is from the past historical data under the price structure of three different time zones for each season. The result of the analysis of this time of use pricing structure would allow the policy maker design an appropriate incentive program. This study is important in the sense that it provides a basic research information for designing future demand response programs.

• International Journal of Computer Science & Network Security
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• 제21권7호
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• pp.211-220
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• 2021

The aim of the study is to implement a factor analysis of the determinants of pricing in a state-regulated competitive market using economic and mathematical modelling methods and to develop ways to improve the pricing environment of the market under study. The purpose of the work defines the main objectives: (i) to investigate the features of the competitive model of the Ukrainian flour market; (ii) to analyse the current price conjuncture of the flour market and the dynamics of the main determinants of pricing; (iii)to develop ways of improving the price situation on the flour market on the basis of the factor analysis on the results of economic and mathematical modelling. In order to ensure the reliability and validity of the research results, the following methods were applied: the logical-dialectical method of scientific knowledge in the study of the main theoretical aspects of flour market functioning, the method of logical generalisation and synthesis, comparison, factor analysis, correlation and regression analysis, the graphical method, etc. It has been shown that pricing in a state-regulated competitive market has its own characteristics. For example, in the flour market the price of goods cannot be influenced by producers (sellers) by any methods, therefore determinants of pricing by indirect influence have been taken into account. The five-factor power model of wheat flour price has been constructed. It was substantiated that the price of wheat flour in Ukraine is mostly influenced by consumer price index (0.92 %). The received complex model of wheat flour price may be used also for medium-term forecasting and working out the ways of price formation optimization in the flour market.

• 대한수학회지
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• 제35권3호
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• pp.659-673
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• 1998

In this paper we consider a security market whose asset price process is a vector semimartingale. The market is said to be fair if there exists an equivalent martingale measure for the price process, deflated by a numeraire asset. It is shown that the fairness of a market is invariant under the change of numeraire. As a consequence, we show that the characterization of the fairness of a market is reduced to the case where the deflated price process is bounded. In the latter case a theorem of Kreps (1981) has already solved the problem. By using a theorem of Delbaen and Schachermayer (1994) we obtain an intrinsic characterization of the fairness of a market, which is more intuitive than Kreps' theorem. It is shown that the arbitrage pricing of replicatable contingent claims is independent of the choice of numeraire and equivalent martingale measure. A sufficient condition for the fairness of a market, modeled by an Ito process, is given.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1501-1509
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• 2011

In this study, assume that the stock price obeys the stochastic differential equation driven by mixed fractional Brownian motion, and the short rate follows the Vasicek model. Then, the Black-Scholes partial differential equation is held by using fractional Ito formula. Finally, the pricing formulae of the barrier option are obtained by partial differential equation theory. The results of Black-Scholes model are generalized.