The concepts of continuity for set-valued mappings were introduced by G. Bouligand and K. Kuratowski. There are two ways defining differentiability of set-valued mapping. One is defined by classical differentiability theorem and another is defined by normal cone which was introduced by B.S. Mordukhovich. In this thesis, we survey various definitions of continuity and differentiability for set-valued mapping.

Economical evaluation for the improvement strategy of drinking water quality by advanced water treatment in Greter Kaohsiung District

The Research on Revaluing the Development of Taiwan in Feng Shang Reservoir in Kaohsiung Abstract Since weekend holidays were carried out, the government has emphasized the tourist recreation and advocated making state-run enterprises with special scenic spots open to the public for promoting use value of their resources. With a trend of economic liberalization, government businesses such as TSC, TPC, and TSIC need operating in diversification and start investing in the tourist industry, each of which is owned based on the government¡¦s initiating plans for increasing the number of tourists. The protective areas of water resource that belong to TWSC are abundant in the ecological environment; however, forbidding people to go there has led to an obvious phenomenon against the unique sources shared by the masses. On one hand, this research, by opening Feng Shang Reservoir in Kaohsiung, can make people closed to water, realize the processing water, understand the importance of water resources to construct a society concerning about water. On the other hand, by using the natural resources there well and multiplying services to attract tourists, it not only has the educational function implied in entertainment but also augments income. But running the protective area of water resources as a tourist site will cause some negative effects of environment and water pollution as well as the anxiety about scaring migratory birds. Therefore, the protection and management of water resources must be under the cautious control. Making use of CVM, this research regards Feng Shang Reservoir as a fictitious market, and the visitors there as research objects of the investigation questionnaire. Besides analyzing the topics like the Development Market Potential, Future Use Benefits, Non-User Benefits¡Ketc, the aims of the research include inspecting the attitudes of customers toward the willingness to participate in and to pay according to the interviewees¡¦ different attitudes of social experiences, different preferences of outside recreations, different identifications of the nature¡Ketc. The results are the followings: 1. Feng Shang Reservoir possesses the market potential. 2. Future use Benefits estimated between $NT30,000,000 and $NT50,000,000 every year are high. 3. Non-User Benefits estimated between $NT160,000,000 and $NT220,000,000 every year are quite high. 4. For the attitudes of customers, labors, government employees, staffs of public school, and people of middle and old age who recognize more about the nature have high willingness to participate in; the common people who recognize less about the nature need to inspire their willingness through educational advocacy. Judging from the above results, this research advises that after appropriately developing Feng Shang Reservoir to the masses, the educational functions of water resources and the social benefits of environment are shared by all the society, which are equal to the return for society and even to TWSC¡¦s positive performance. Keywords¡GCVM(Contingent Valuation Method), WTP(Willingness To Pay), Tourism, Revalue, Feng Shang Reservoir.

In order to maintain a sustainable development and biological balance of the territory, the government defines several kinds of restricted areas for land development in National Comprehensive Development Plan. The classification of restricted areas is defined according to the environmental, biological and cultural sensitivities of land, and areas with such restrictions should limit the land use and development. However, owing to the high density of population and finite area of territory, the extension of economical activities to restricted areas such as the commercial activities in a national park is hard to avoid. Besides, during recent years, the fairness of the defining the boundary of restricted areas is often challenged and sometimes causes resistance of local inhabitants. As a result, such problems worsen under the pressure of economical development and thus lead to the malfunction of the land use regulation. To avoid this situation, the establishment of a system of a social compensation for restricted areas is vital to land management. Although some strategies such as impact fee have been made in order to deal with the environmental external effects caused by land development and modification, such strategies mostly focus on the compensation for people whose rights were damaged. However, there has not been a fair social compensation system dealing with the internalization of external advantages made by the beneficiaries by such land use regulations. Moreover, the traditional compensation strategies mostly deal with the standard of solatium calculation and the law base. Such strategies lack of a positive motivation to the sustainability and symbiosis of the environment. To achieve the circulation of environmental resources, urging the users to manage and use limited resources in an effective way is vital to the sustainable resource management. The study adopts the concepts of resource-based theory, environmental partnerships and non-profit enterprises, effectively integrates the public spirit of the government, the management knowledge of private sectors and the mobilization energy of local communities, and establishes a new cooperation model named ¡§social enterprise¡¨ based on communities. Based on a case study of Kenting National Park, this thesis first proceeds a survey of evaluation for environmental resources and attitude of local inhabitants and tourists towards the resource management in the restricted area using contingent valuation method (CVM). Through the result of the case study and the practical experiences of environmental partnerships carried in other countries, the thesis then discusses about the present problems of the compensation system in Taiwan and suggests possible strategies for the establishment of future social compensation system based on the concepts of local innovation and environmental partnerships.

Though recycled toilet paper (RTP) is more environmental friendly than toilet paper made of virgin fiber, they are also more expensive. The price difference has made manufacturers hesitate about marketing RTP in shops, because they assume that consumers are reluctant to buy it. However, no research has been done in Taiwan to explore consumers¡¦ willingness to pay (WTP) for RTP. This study is an attempt to do so by the use of two methods: contingent evaluation method (CVM) and conjoint analysis. Both methods were administered through a survey, which had a convenience sample of 192 female Kaohsiung citizens as respondents. Results based on CVM showed that the mean WTP for RTP was NT 151, which was a little higher than the price set by Homemaker¡¦s Union and Foundation¡Xan NGO which was the main channel selling RTP to the domestic sector in Taiwan. This suggests that manufacturers might have underestimated the market for RTP. To check the validities of the CVM and conjoint method, two criteria were measured: the respondents¡¦ past environmental behavior (PEB) and their willingness to make sacrifice for environmental causes (WTP3). The WTP as estimated by CVM, namely WTP1, was significantly related to both of these criteria (rs = .16, .32, ps < .05), showing that the CVM had a certain degree of validity. The importance that respondents attached to the eco-label of RTP was assessed by conjoint analysis. Validity of the importance scores thus obtained, however, was quite low: the correlation between these scores and WTP1, PEB and WTP3 were .05, .12 and .20 respectively, with only the last one significant. Results also suggest that environmental knowledge and health and safety concerns for products were not related to WTP1. Keywords: green consumption, contingent valuation method, conjoint analysis, environmental behavior, eco-label, green mark.

While considering disposing the priority of various kinds of communal facilities, the cost that must assess benefit and make the investment first, will not just have waste or the improper situation of resource distribution. Seeing that public goods importance that benefit assess, it is market that appraise law develop successively and extensive application, it is a law of appraisal more feasible and with more potentiality among them to assess the law in condition, so this research does deep discussion to this. Because the traditional demand theory has it to limit to the public goods short of marketing, unable to get consumer's appraisal on the public goods, this research attempts to bring the public goods into personal utility function, via the deriving of mathematics and physics, under the same demand principle, give monetary value to the public goods. Set up the compensation demand function of the public wealth, and can lead and pay wishing to pay prices of public goods from this. Utilize the compensating demand function, the valuation of pushing away regarded in order to wish to pay prices as benefit of public wealth of the income. To the increase or reduction of the quantity of the public goods, generally often use WTP or WTA. A lot of theories or positive research, mostly inclined to use WTP to draw benefit value in the past. Because target, tour of benefit numerous, visit offering, the estimate of benefit of recreation resources have model public characteristic of wealth, so this text attempts to use the public wealth promptly, and wide CVM (contingent valuation method) accepted, apply to Kaohsiung on resource of recreation, rest of resource assess, hope via personal inherent attitude and wishing pairs of behavior is it is it visit benefit, rest of resource to assess to come different of partiality, this is a purpose of this research. It is 23.94 yuan that visitors, willingness to pay ,the average amount of money of the maintenance expense, develop some continuously forever by safeguarding local ecological resources and tour industry in collecting the maintenance expense, up to 53% of the visitors and will to pay, the amount of money is 23.94 yuan to like to pay on average. If can collect the charges with 2007, calculate in accordance with 580,591 persons, it is 13,902,586.8 yuan.

We quantify the effects on contingent claim valuation of using an estimator for the volatility of a geometric Brownian motion (GBM) process. That is, we show what difficulties can arise when failing to account for estimation risk. Our working problem uses a direct estimator of volatility based on the sample standard deviation of increments from the underlying Brownian motion. After substituting into the GBM the direct volatility estimator for the true, but unknown, value of the parameter sigma, we derive the resulting marginal distribution of the approximated GBM. This allows us to derive post-estimation distributions and valuation formulae for an assortment of European contingent claims that are in accord with the basic properties of the underlying risk-neutral process. Next we extend our work to the contingent claim sensitivities associated with an assortment of European option portfolios that are based on the direct estimator of the volatility of the GBM process. Our approach to the option sensitivities - the Greeks - uses the likelihood function technique. This allows us to obtain computable results for the technically more-complicated formulae associated with our post-estimation process. We discuss an assortment of difficulties that can ensue when failing to account for estimation risk in valuation and hedging formulae.

Thesis (Ph. D.)--West Virginia University, 2004. / Title from document title page. Document formatted into pages; contains vii, 125 p. : ill., map. Includes abstract. Includes bibliographical references (p. 90-96).

In September 2009 exploratory testing of an old geothermal power well caused a blowout at the El Tatio geothermal field of northern Chile. El Tatio is the largest geyser field in the southern hemisphere. The blowout was a paradigm-shifting event for the management of the El Tatio geothermal field and drew attention to the disparity and critical nature of scientific information sharing. This study uses the El Tatio incident as a case study for examining problems of common-pool resource management and geothermal energy development. It explores how differing valuations of geothermal resources resulted in a breakdown of coherent regulation and negative outcomes for all stakeholders. Contingent valuation methods were used to create an elicitive interview process in order to assess how differences in valuation drove these conflicts and negative outcomes. The sharing of scientific information through Decision Support Systems (DSS) is identified as an important element in resolving these conflicts and creating new policies for common-pool resource management. These methods are presented as tools that can be used by stakeholders to find common ground and seek mutually beneficial outcomes. In addition, these tools can help with the critical issue of social perception of scientific data and science driven solutions to these problems. This study posits that the path forward is to ensure not only that scientific data is communicated in modes appropriate to the community and problem at hand, but that the acquisition and interpretation of this data is informed by stakeholder needs. / text

This dissertation explores the application of the techniques of mathematical finance to the achievement of investment targets and financial stability. It contains three self-contained but broadly related essays. Sharpe et al. proposed the idea of having an expected utility maximizer choose a probability distribution for future wealth as an input to her investment problem rather than a utility function. They developed the Distribution Builder as one way to elicit such a distribution. In a single-period model, they then showed how this desired distribution for terminal wealth can be used to infer the investor's risk preferences. In the first essay, we adapt their idea, namely that a desired distribution for future wealth is an alternative input attribute for investment decisions, to continuous time. In a variety of scenarios, we show how the investor's desired distribution, combined with her initial wealth and market-related input, can be used to determine the feasibility of her distribution, her implied risk preferences, and her optimal policies throughout her investment horizon. We then provide several examples. In the second essay, we consider an investor who must a priori liquidate a large position in a primary risky asset whose price is influenced by the investor's liquidation strategy. Liquidation must be complete by a terminal time T, and the investor can hedge the market risk involved with liquidation over time by investing in a liquid proxy asset that is correlated with the primary asset. We show that the optimal strategies for an investor with constant absolute risk aversion are deterministic and we find them explicitly using calculus of variations. We then analyze the strategies and determine the investor's indifference price. In the third essay, we use contingent claims analysis to study several aggregate distance-to-default measures of the S&P Financial Select Sector Index during the years leading up to and including the recent financial crisis of 2007-2009. We uncover mathematical errors in the literature concerning one of these measures, portfolio distance-to-default, and propose an alternative measure that we show has similar conceptual and in-sample econometric properties. We then compare the performance of the aggregate distance-to-default measures to other common risk indicators. / text