environmental efficiency evaluation of industry in china based on a new fixed sum undesirable output data envelopment analysis national natural science funds of china for innovative research groups 70821001 national natural science funds of china 70901069 71222106 71203186 research fund for the doctoral program of higher education of china 20133402110028 fundamental research funds for the central universities wk 2040150007 china scholarship council

small firms and the merger mania empirical research has found an average or even superior performance of small firms this seems to be at variance with the secular concentration process and the recurrent merger waves this paper tries to integrate size and merger research higher profitability of small firms is explained by their incentive structure and shorter decision lags but also by lower wages and higher individual risk premia their faster growth in the eighties was in addition fostered by diversification of demand miniaturization of technology and a need for flexibility under uncertainty the merger wave on the other hand does not necessarily prove that large firms are superior managers and shareholders may be seduced by stockmarket optimism a sizeable industry of banks agents and lawyers have their own interests in mergers mergers may be important in declining markets and for the acquisition of technology on average mergers do not improve efficiency profits or internal growth small and large firms serve different purposes performance depends on the market incentives and technology the establishment growth and closure of small firms as well as mergers are attempts to find the optimal organization for utility maximization in a world of severe uncertainty and diverse needs

productivity growth and environmental efficiency of the nonferrous metals industry an empirical study of china abstract this study intends to provide an insight into china s nonferrous metals industry production based on the analysis of the environmental efficiency the malmquist productivity index mpi and the malmquist luenberger productivity index mlpi the empirical experiment based on the annual data of 27 regions including provinces autonomous regions and municipalities of china during 2003 2009 shows the following results first the industry s environmental efficiency in the east area is mostly higher than that of the other area second the industry s average annual change of mpi and mlpi in china were 4 4 and 0 9 respectively this indicated that the total factor productivity growth of the industry was overestimated if undesirable outputs were ignored third the industry s productivity was mainly affected through technological advances rather than endogenous factors such as improvements in managerial practices finally during the worldwide financial crisis occurred in 2008 the industry s mlpis exceeded the mpis in most regions through measures such as adjustment of the product structure and elimination of backward production capacity

statistical analysis and combination forecasting of environmental efficiency and its influential factors since china entered the wto 2002 2010 2012 abstract since china became a member of world trade organization wto its economy develops at a fast speed at the same time the environmental problem becomes more and more serious and increasingly affects economic development studying the factors that influence environmental efficiency has become an essential point in dealing with the relationship between economy and environment considering the differences in space and economic development among different districts this paper discusses the quantitative relationship among exports figure imports figure gdp per capita industrialization level fiscal decentralization and environmental efficiency of each chinese province by using statistical analysis furthermore this paper discusses differences among each district s influential factors from the perspective of spatial economics and makes combination forecast on the trend of environmental efficiency it also shows that the environmental efficiency of chinese provinces is generally at a low level in addition as the economic statuses of different provinces vary and the factors that influence environmental efficiency in different provinces also have significant differences each province should take certain measures to design the environmental protection policy in line with its local circumstance

ecological modernization in the electrical utility industry an application of a bads goods dea model of ecological and technical efficiency abstract newly developed data envelopment analysis techniques permit simultaneous consideration of good and bad outputs in evaluating efficiency we use these techniques to determine joint ecological and technical efficiencies of the 437 largest fossil fueled electricity generating plants in the united states utilizing the epa s e grid and clean air markets databases and drawing on ecological modernization theory we evaluate whether innovations in organizational practices and technological solutions help achieve joint technical and environmental performance efficiencies

measuring ecological efficiency with data envelopment analysis dea abstract the measurement of ecological efficiency provides some important information for the companies environmental management ecological efficiency is usually measured by comparing environmental performance indicators data envelopment analysis dea shows a high potential to support such comparisons as no explicit weights are needed to aggregate the indicators in general dea assumes that inputs and outputs are goods but from an ecological perspective also bads have to be considered in the literature bads are treated in different and sometimes arbitrarily chosen ways this article aims at the systematic derivation of ecologically extended dea models starting from the assumptions of dea in production theory and activity analysis a generalisation of basic dea models is derived by incorporating a multi dimensional value function f extended preference structures can be considered by different specifications of f e g specifications for ecologically motivated applications of dea

interaction between output efficiency and environmental efficiency evidence from the textile industry in jiangsu province china environmental efficiency improvement has played a crucial role in the theory and practice of stimulating clean production this paper analyzes the interaction between environmental efficiency and output efficiency particularly whether they reinforce each other or compete with each other on the basis of a data set of 137 firms in the textile industry in china s jiangsu province in the first stage generalized data envelopment analysis is applied to calculate efficiency measures of energy waste water waste gas soot and output efficiency taking capital labor water and energy as inputs industrial output value as desirable output and waste water discharges waste gas and soot emissions as undesirable outputs in the second stage analysis a structural equation model with latent variables is applied to analyze the interaction between the latent variable environmental efficiency measured by the four observed environmental indicators and output efficiency taking also into account the endogenous variable profit the main outcomes of the structural equation model are the following firstly environmental efficiency negatively impacts on profit while profit positively impacts on environmental efficiency in a similar vein output efficiency is found to depress profit while profit increases output efficiency thirdly environmental efficiency has a positive impact on output efficiency while there is no effect of output efficiency on environmental efficiency fourthly taxes impair a firm s output efficiency from the findings it follows that a swap of general taxes for an energy tax is likely to improve both output efficiency and energy efficiency the latter outcome implies a win win situation which will facilitate the further implementation and adoption of environmental policy finally the paper illustrates the applicability of structural equation modeling in efficiency analysis

a literature study for dea applied to energy and environment abstract this study systematically summarizes previous research efforts on data envelopment analysis dea applied to energy and environment in the past four decades including concepts and methodologies on dea environmental assessment industrial developments are very important for all nations in terms of their economic prosperities a problem is that the development produces various pollutions on air water and other types of contaminations all of which are usually associated with our health problems and climate changes thus it is necessary for us to consider how to make a balance between economic success and pollution mitigation to maintain a high level of social sustainability in the world it is widely considered that dea is one of the methodologies to examine the level of sustainability this study examines a recent research trend on dea applications from 1980s to 2010s nowadays many researchers have paid serious attention on how to combat various difficulties in the areas of energy and environment as a result the number of articles on dea applications on energy and environment has dramatically increased particularly after 2000s however it is true that dea has strengths and drawbacks in the applications therefore it is very important for us to carefully use dea for guiding large policy issues and business strategies such as the global warming and climate change an underlying premise of this study is that technology innovation in engineering and natural science may solve various problems by linking it with political and managerial efforts the use of dea provides a methodological linkage among them so enhancing the practicality in mitigating problems due to climate change and environmental pollutions this literature study along with a summary on conceptual and methodological developments provides us with guidelines for our future research works on dea on energy and environment issues

regional environmental efficiency in china an empirical analysis based on entropy weight method and non parametric models abstract while vigorously developing its economy china is attaching more and more importance to environmental protection and pollution control in different regions of china however there are great differences in economic development and the degree of environmental pollution in this study we use the entropy weight method to calculate the pollution indexes of different regions from 2015 to 2017 then we evaluate the chinese regional environmental efficiency based on a new non parametric frontier model moreover a new set of ranking interval models that treat the undesirable outputs as inputs is proposed to further describe the regional disparities of the environmental efficiency between different regions with robustness finally we conduct an empirical analysis by combining the stepwise regression and principal component analysis to identify the most influential variables that may affect regional environmental efficiency according to the results the southeast region of china performs best in environmental efficiency followed by the northeast region then the southwest region and the worst is the northwest region for managerial implications we find that the investment of high education and the development of the it industry can significantly increase regional environmental efficiency more importantly the results of the principal component analysis provide the government with a set of variables to strategically select the most appropriate strategy

congestion measurement under different policy objectives an analysis of chinese industry abstract in recent years the economic performance of chinese industry has improved significantly however the congestion caused by excessive investment has plagued its sustainable development in order to make full use of resources it is necessary for the chinese government to measure industrial congestion from different perspectives however most studies for measuring congestion only consider desirable outputs even if in practice these are always accompanied by undesirable outputs in this paper three policy objectives are proposed for industrial development in china the economic priority the environmental priority and the economic and environmental win win three new data envelopment analysis dea models with undesirable outputs were built for measuring undesirable congestion desirable congestion and double congestion respectively for these policy objectives these approaches can not only identify congestion situation but also calculate the total amount of congestion and were applied to an analysis of the congestion of regional industries in china results show that most regions have some form of longstanding input congestion under different policy objectives with this resulting in serious waste of resources based on the results obtained some suggestions for sustainable industrial development in china are proposed

non parametric productivity analysis with undesirable outputs an application to the canadian pulp and paper industry this article extends the chavas cox approach to non parametric analysis by incorporating undesirable outputs to provide a more complete representation of the production technology inner and outer non parametric technology bounds are constructed the methods are illustrated with application to time series data for the canadian pulp and paper industry conventional measures that ignore changes in pollutant outputs underestimate true productivity growth further there is a large gap between estimates generated with reference to inner and outer bounds to the technology suggesting that researchers need to be aware of the limitations of results derived from analyses relying only on dea methods copyright 2001 oxford university press

measuring the performance of thermal power firms in china via fuzzy enhanced russell measure model with undesirable outputs abstract thermal power has accounted for the major part of the electricity generation over recent several decades in china it plays an important role in supporting china s economic development while it also brings great pressure to the environment protection because of a large amount of pollution generated during its production in order to solve or alleviate the environmental problem caused by thermal power firms efficiency evaluation is the first important step as thermal power firm is a complex system with multiple inputs and multiple outputs usually including fuzzy data and undesirable outputs in the productions in this paper we build an integrated enhanced russell measure model based on data envelopment analysis for evaluating the performance of decision making units in the presence of the undesirable outputs in fuzzy circumstance then this new model is applied to analyze the environmental performance and provide the benchmarks for the thermal power firms in china which can guide the decision makers to make suitable future production plans for improving their performance

migration to the united states and mexican rural development a case study an analysis of the impact of migration to the united states on the sending community and on the labor market in the receiving country is presented based on a case study of las animas mexico as the community becomes increasingly involved in migration tendencies can be identified regarding changing migration patterns class differentiation among villagers impact of migration on village economy and the changing role of mexican workers in california labor markets results indicate the importance of social networks in determining the outcome of migration while migration is individually rational it is a factor of stagnation for village economy and it helps reproduce segmented california labor markets excerpt

undesirable outputs in efficiency valuations abstract efficiency measurement is usually based on the assumption that inputs have to be minimized and outputs have to be maximized in a growing number of applications however undesirable outputs are incorporated into the production model which have to be minimized in this paper various approaches for treating such outputs in the framework of data envelopment analysis dea are discussed and the resulting efficient frontiers are compared new radial measures are introduced which assume that any change of the output level will involve both undesirable and desirable outputs

modeling undesirable factors in efficiency evaluation abstract data envelopment analysis dea measures the relative efficiency of decision making units dmus with multiple performance factors which are grouped into outputs and inputs once the efficient frontier is determined inefficient dmus can improve their performance to reach the efficient frontier by either increasing their current output levels or decreasing their current input levels however both desirable good and undesirable bad factors may be present for example if inefficiency exists in production processes where final products are manufactured with a production of wastes and pollutants the outputs of wastes and pollutants are undesirable and should be reduced to improve the performance using the classification invariance property we show that the standard dea model can be used to improve the performance via increasing the desirable outputs and decreasing the undesirable outputs the method can also be applied to situations when some inputs need to be increased to improve the performance the linearity and convexity of dea are preserved through our proposal

multilateral productivity comparisons when some outputs are undesirable a nonparametric approach multilateral productivity comparisons of firms producing multiple outputs some of which are undesirable are obtained by making two modifications to the standard farrell approach to efficiency measurement the restriction that production technology satisfy strong disposability of outputs is relaxed to allow for the fact that undesirable outputs may be freely disposable and the efficiency measures are modified to allow for an asymmetric treatment of desirable and undesirable outputs performance measures that satisfy these requirements are calculated as solutions to programming problems the methodology is applied to a sample of mills producing paper and pollutants

co2 emissions reduction of chinese light manufacturing industries a novel ram based global malmquist luenberger productivity index climate change has become one of the most challenging issues facing the world chinese government has realized the importance of energy conservation and prevention of the climate changes for sustainable development of china s economy and set targets for co2 emissions reduction in china in china industry contributes 84 2 of the total co2 emissions especially manufacturing industries data envelopment analysis dea and malmquist productivity mp index are the widely used mathematical techniques to address the relative efficiency and productivity of a group of homogenous decision making units e g industries or countries however in many real applications especially those related to energy efficiency there are often undesirable outputs e g the pollutions waste and co2 emissions which are produced inevitably with desirable outputs in the production this paper introduces a novel malmquist luenberger productivity mlp index based on directional distance function ddf to address the issue of productivity evolution of dmus in the presence of undesirable outputs the new ram range adjusted measure based global mlp index has been applied to evaluate co2 emissions reduction in chinese light manufacturing industries recommendations for policy makers have been discussed

the success of mergers in the 1920s a stock market appraisal of the second merger wave abstract this paper examines the impact on acquiring firm shareholder wealth of mergers during the oligopoly merger wave of the 1920s these acquisitions were relatively unregulated the securities and exchange commission did not exist and antitrust laws were only loosely enforced although the lack of financial market controls and the possibility of monopoly gains should have permitted acquiring companies to capture large take over profits stock price data on 134 firms indicate only modest success the average profitability of an acquisition in the 1920s does not differ from the profitability resulting from mergers in the 1960s and 1970s despite vast differences in the economic environments

allocation of carbon dioxide emission permits with the minimum cost for chinese provinces in big data environment abstract the environmental problem and global warming have drawn many governments attention in order to solve the problem reasonable allocation of carbon dioxide emission cde permits is an important issue because it sets the targets for the decision making units to control the amount of carbon dioxide emission in this paper a new data envelopment analysis approach is proposed to evaluate the efficiency of decision making units in a big data environment and set the carbon dioxide emission permits for each decision making unit with the minimum costs comparing with the previous works on carbon dioxide emission permits allocation we firstly allocate the amount of carbon dioxide emission permits taking account into the cost each decision making unit should take to achieve its target moreover two kinds of linear programming problems are developed under efficiency invariance principle and efficiency changeability principle respectively as the allocation of carbon dioxide emission permits causes the minimum cost the decision making units are more easily to accept the allocation alternative finally our approach is applied to the carbon dioxide emission permits allocation among chinese provinces the results show that the approach can well allocate the cde permits with the minimum cost and also reveal the relationship between the marginal cost of reducing cde permits and the adjustment on them

the impact of industrial structure efficiency on provincial industrial energy efficiency in china abstract regional disparity in terms of industrial energy efficiency is noticeable in china due to the unbalanced economic progress in past decades analyzing the provincial industrial energy efficiency and its influencing factors is of great significance to formulate differentiated policies to date the influence of many social economic factors on the industrial energy efficiency have been examined but the impact of the inter industry structure has almost been ignored in this paper the slacks based measure model incorporating undesirable output is applied to evaluate the industrial energy efficiency both at the provincial level and the sectoral level in china for the period 2010 to 2016 then industrial structure efficiency is introduced which reflects the inter industry structure and takes the sectoral level energy efficiency into consideration and the impact of the industrial structure efficiency on provincial industrial energy efficiency is tested by tobit regression model the results show that huge discrepancies of provincial industrial energy efficiency exist and the industrial structure efficiency is confirmed to be a determinative factor to the provincial industrial energy efficiency with the coefficient of 0 525 policy recommendations are provided for adjusting the provincial inter industry structure and improving the industrial energy efficiency

china s regional natural resource allocation and utilization a dea based approach in a big data environment abstract china s economic reform and opening policy has resulted in china s rapid growth especially in terms of economy the growth however is mainly based on huge consumption of natural resources and that consumption should be reduced by significant amounts to protect global ecosystems emerged in 1980s big data has developed very quickly in recent years bringing new perspectives and opportunities for all kinds of academic fields especially in dea since it is a research highly based on data in this paper we propose a sbm dea model based on natural resource input orientation to evaluate the efficiency of natural resource utilization for 26 provincial regions in mainland china from 2005 to 2012 a dea based approach is developed to allocate a reduced total of natural resources among the 26 provincial regions drawing support from the developments of big data we use each provincial region s previously observed production data to characterize its own production technology which allows a better analysis of how the production will change after allocations of natural resources are reduced our empirical study shows that most provincial regions perform well in terms of efficiency in utilizing natural resources but that is based on huge consumption of natural resources from an area perspective the eastern area of china achieved the highest average efficiency value followed by the central and western areas our study also indicates that the most effective allocation of the natural resources requires about half of the 26 provincial regions to reduce their natural resource consumption while the remaining ones can maintain their original consumption

olympic ranking based on a zero sum gains dea model abstract it is usual to rank the participant countries in the olympic games in accordance with the number of medals they have won an alternative ranking is suggested in this paper this ranking is based on each country s ability to win medals in relation to its available resources this is an efficiency that can be measured with the help of data envelopment analysis dea for which two models exist the traditional dea model that takes into account variable returns to scale and a dea model based on the premise that the sum of the gains is zero constant sum of outputs it is the latter that is developed in this paper

assessment of the environmental efficiency of the electricity mix of the top european economies via data envelopment analysis abstract moving towards a more sustainable energy system is a major goal of modern societies that aim to minimize the dependence on fossil fuels and the associated anthropogenic impacts in this article the combined use of life cycle assessment lca and data envelopment analysis dea is applied to analyse the environmental performance eco efficiency of the electricity mix of the top european economies this approach allows identifying environmentally efficient and inefficient countries considering as undesirable inputs several environmental impacts associated with the production of 1 kwh regarded as output the method provides as well targets for the inefficient countries that if attained would make them efficient our results provide valuable insight for governments and policy makers that aim to satisfy the electricity demand while minimizing the associated environmental impact

assessing the profitability of growth by acquisition a premium recapture approach abstract this paper makes a case that because of the large premiums paid over the last 20 years by companies undertaking growth by acquisition this growth probably has been unprofitable the case has three parts the first develops a model designed to show for any premium paid for any acquiree the performance improvement required to recapture this premium and create value for the acquiring company the second part reports the distribution of premiums paid for a large sample of acquirees and uses this model to determine the specific performance improvements necessary to bring about value creation for the new parents of the acquirees the third part uses historical rate of return data to show that for typical acquirees these improvements call for levels of performance that are difficult to attain and sustain in u s industrial markets

data envelopment analysis for unified efficiency evaluation an assessment of regional industries in china abstract data envelopment analysis has recently gained popularity and attention in operational and environmental assessment a common feature of previous studies is decreasing an input vector to decrease the vector of undesirable outputs which is referred to as natural disposability however little research has considered how to increase the amount of capital input for clean production technology to decrease the amount of undesirable outputs in a data envelopment analysis framework which is referred to as managerial disposability thus this paper proposes an improved approach that considers measuring unified operational and environmental efficiency for managerial disposability and compares this approach with the one for natural disposability the proposed approach provides a positive strategy to reduce undesirable outputs and improve unified efficiency through increasing capital investment in clean production technology a case study of regional industries in china in 2006 2010 utilizing this approach is also presented the empirical study shows that the unified efficiencies of regional industries in china have relatively high scores for managerial disposability and increasing capital investment is vital to achieve sustainable development in clean production technology

efficiency and allocation of emission allowances and energy consumption over more sustainable european economies abstract efficient use of energy reduction in fossil fuel dependence and control of co2 emissions are all fundamental to development of a sustainable economy competitiveness in energy use saves imports of oil and gas increases gross domestic product and creates new jobs in the renewable energy and energy efficiency sectors this study identifies the more or less competitive european union member states in terms of sustainable growth using data envelopment analysis dea model and proposes new allocations of country greenhouse gas limits and energy consumption using a zero sum gains dea model the analysis of european countries fills a gap in the existing literature and contributes to the discussion on the 2020 2030 european strategy proposing an efficiency based indicator which measures country performance in terms of economic social and environmental factors gdp represents the economic factor population represents the social factor and emissions final and renewable energy consumption are the environmental factors the numerical results show that the initial allocations are inefficient applying the modelled reallocation the most efficient countries are rewarded by potential increases in emission and energy consumption while the least efficient countries must bring about decreases to achieve full efficiency

regional energy environmental performance and investment strategy for china s non ferrous metals industry a non radial dea based analysis globally china is the largest producer and consumer of common non ferrous metals china s non ferrous metals industry is energy intensive accounting for 24 of the total industrial energy consumption in 2011 in this study we adopted a non radial dea model to examine the energy environmental performance of the non ferrous metals industry from a regional perspective during the 2006 2011 period the energy environmental performance was evaluated by the eco efficiency under natural disposability en eco efficiency under managerial disposability em eco efficiency under natural and managerial disposability enm and enm with desirable congestion enm dc based on the en both the energy conservation and emission reduction potentials were calculated additionally the investment strategy was confirmed by regional types of damages to return dtr in the second stage study the factors influencing eco efficiency were measured using tobit regression and truncated regression models the results indicated that the efficiency scores of en em enm and enm dc were considerably different investment was effective in improving the energy environmental performance for twenty one regions during the whole study period henan had the highest energy conservation and emission reduction potentials the results obtained from the regression models were similar which displayed that the population density and energy price were responsible for the increase in eco efficiency while economic development level and industrial structure affected eco efficiency negatively based on these results policy recommendations for the non ferrous metals industry to improve their performance in a low carbon economy are suggested

population economic growth and regional environmental inefficiency evidence from u s states we apply a conditional directional distance function allowing multiple exogenous factors to measure environmental performance we evaluate the air pollution performance levels of u s states for the years 1998 and 2008 states environmental inefficiency is determined by population size and gdp per capita gdppc the overall results reveal that there is much variation in environmental inefficiencies among the u s states a second stage nonparametric analysis indicates a nonlinear relationship between states population size gdppc levels and states environmental inefficiency levels our results indicate that environmental inefficiency on the whole decreases with increased population and income per capita but there are limits to this improvement and at high income and population levels the tendency may reverse

environmental efficiency analysis of china s regional industry a data envelopment analysis dea based approach abstract china s economic has got remarkable achievements during the past 30 years which has brought tremendous pressure on natural resources and serious environmental pollution at the same time in this paper we aim to make environmental efficiency analysis of china s regional industry data envelopment analysis dea method is incorporated and the slacks based measure sbm model considering undesirable outputs is introduced to measure the environmental efficiency of different regions big data theory is introduced in the collection and selection of the input and output data of the regions further we evaluate the environmental efficiencies of china s industry using data from 2008 to 2012 the results show that apart from several developed provinces the environmental efficiencies of china s industry are generally low and the environmental efficiencies of the regions did not show any increasing trend through the past 5 years additionally lager differences exist in environmental efficiencies between the regions in china finally we suggest the chinese government to focus on the low environmental efficiencies and the unbalanced development of its regional industry

metafroniter energy efficiency with co2 emissions and its convergence analysis for china this paper measures the energy efficiency performance with carbon dioxide co2 emissions in 30 provinces in china during the period of 1997 2011 using a meta frontier framework with the improved directional distance function ddf we construct a new environmental production possibility set by combining the super efficiency and sequential data envelopment analysis dea models to avoid discriminating power problem and technical regress when evaluating efficiency by ddf then it is used in a meta frontier framework to reflect the technology heterogeneities across east central and west china the results indicate that eastern china achieved the highest progress inefficiency relative to the metafrontier followed by western and the central china by focusing on technology gaps we offer some suggestions for the different groups based on group frontier and meta frontier analyses the inefficiency can be attributed to managerial failure for eastern and western china and technological differences for central china the convergence analysis shows that energy and co2 emission governance will produce negative effects on economic growth and it is suitable and acceptable to introduce rigorous environmental measures in eastern china

the influence of energy consumption of china on its real gdp from aggregated and disaggregated viewpoints abstract this paper investigated the causal relationship between energy consumption and gross domestic product gdp in china at both aggregated and disaggregated levels during the period of 1978 2009 by using a modified version of the granger 1969 causality test proposed by toda and yamamoto 1995 within a multivariate framework the empirical results suggested the existence of a negative bi directional granger causality running from aggregated energy consumption to real gdp at disaggregated level of energy consumption the results were complicated for coal empirical findings suggested that there was a negative bi directional granger causality running from coal consumption to real gdp however for oil and gas empirical findings suggested a positive bi directional granger causality running from oil as well as gas consumption to real gdp though these results supported the feedback hypothesis the negative relationship might be attributed to the growing economy production shifting towards less energy intensive sectors and excessive energy consumption in relatively unproductive sectors the results indicated that policies with reducing aggregated energy consumption and promoting energy conservation may boost china s economic growth

competition strategy and efficiency evaluation for decision making units with fixed sum outputs this paper develops a dea data envelopment analysis model to accommodate competition over outputs in the proposed model the total output of all decision making units dmus is fixed and dmus compete with each other to maximize their self rated dea efficiency score in the presence of competition over outputs the best practice frontier deviates from the classical dea frontier we also compute the efficiency scores using the proposed fixed sum output dea fsodea models and discuss the competition strategy selection rule the model is illustrated using a hypothetical data set under the constant returns to scale assumption and medal data from the 2000 sydney olympics under the variable returns to scale assumption