8 DEA min θ - ε( ^e T S - + e T S ) [ + ] GDP n X 4 j λ j + S - = θx 0 j = 1 n Y j λ j - S + = Y 0 j = 1 5 λ J 0 j = 1 n S - 0 S + 0 ^e = ( 1 1

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1 JOURNAL OF INTELLIGENCE Vol. 31 No. 8 Aug DEA * 以湖南省为例政府社会管理职能绩效评估是政府社会管理与政府绩效评估面临的重点和难点问题构建 DEA 绩效评估模型, 对政府社会管理职能绩效进行实证评估, 并对 DEA 在政府社会管理职能绩效评估中的应用方法和注意事项进行有益探讨研究结果表明,DEA 可以比较客观简约直观地评价政府社会管理职能的相对有效性, 可以帮助政府部门准确掌握社会管理职能绩效水平,DEA 在处理多指标输入和多指标输出的有效性评价方面具有明显的优势, 特别适合政府社会管理职能这种复杂系统的绩效评估和改进在运用 DEA 时, 应注意 DEA 的使用条件和局限性, 可依据评估目的进行适当的改进和拓展政府社会管理职能绩效评估数据包络分析决策单元 C A Study on the Application of Performance Evaluation in Government Society Administration Based on DEA A Case of Hunan Province LI Chaoxian 1 2 ZENG Runxi 1 XU Xiaolin 1 1. College of Public Administration Huazhong University of Science and Technology Wuhan Department of Public Administration Changsha Party School of Municipal Committee of C. P. C Changsha Abstract Performance evaluation on government society administration is a vital and difficult issue in government society administration and government performance evaluation. The article empirically evaluates the performance on government society administration by Data Envelopment Analysis DEA of performance model and instructively discusses its applied methods and notes in performance evaluation on government society administration. The results show that DEA can evaluate the relative effectiveness of government society administration objectively concisely and directly which helps government to recognize the current situation of performance on government society administration accurately. Because it is evidently advantageous for DEA to evaluate the relative effectiveness of multivariate input and output it is suitable to evaluate and improve performance on complex system of government society administration. It is necessary to pay attention to the application conditions and limitations of DEA and improve and expand its application according to the purposes of evaluation. Key words government society administration performance evaluation Data Envelopment Analysis DEA Decision Making Unit DMU CZZ

探讨研究结果表明,DEA 可以比较客观简约直观地评价政府社会管理职能的相对有效性, 可以帮助政府部门准确掌握社会管理职能绩效水平,DEA 在处理多指标输入和多指标输出的有效性评价方面具有明显的优势, 特别适合政府社会管

2 8 DEA min θ - ε( ^e T S - + e T S ) [ + ] GDP n X 4 j λ j + S - = θx 0 j = 1 n Y j λ j - S + = Y 0 j = 1 5 λ J 0 j = 1 n S - 0 S + 0 ^e = ( 1 1 ) T E m e = ( 1 1 ) T E λ j θ * λ * S * + S * - 6 a. θ * = 1S * - = 0 S * + = 0 DMU j0 DEA 7 DEA b. θ * = 1 DMU j0 DEA DEA DEA c. θ * < 1 DMU j0 DEA 1 DEA C 2 R λ j λ * j A Charnes W W Cooper DMU a. λ * j j = 1 2 n = 1 DUM Decision Making Unit b. λ * j j = 1 2 n = DMU 8 C 2 R DEA 1 DEA n DMU j j = n DMU m X j = X 1j X 2j X mj S Y j = y 1j y 2j y sj ε C 2 R 2 DEA maxμ T Y 0 ω T X j - μ T Y j 0 j = 1 n ω T X 0 = 1 ω ε^e μ εe ^e = ( 1 1 ) T E m e = ( 1 1 ) T E s. X 0 Y 0 DMU j0 ε 0 θ DMU j0 S + S - < 1 DUM c. λ * j j = 1 2 n = 1 > 1 DUM 9 DEA DEA s

λ * j j = 1 2 n = 1 DUM Decision Making Unit b.

3 DEA 1 DUM X1 X2 Y1 Y2 Y DUM DEA DEA 2001 DUM DUM DUM DUM DUM DUM DUM DUM DUM X2 Y1 Y2 Y3 X ** ** ** Decision Making Epoch DME Y ** ** ** X1 Y ** ** ** Y ** ** ** 注 : ** 表示在水平上是显著的 C 2 R X1 λ j 3 X2 Y1 Y2 Y3 θ = 1S - 1 = S - 2 = S + 1 = S + 2 = S + 3 = 0 DMU DUM 50% θ = 1 0 DMU DUM 1 DEA 3. 2 X1 5 DMU θ < DEA Overall Scale Pure t Slack variables DMU efficiency efficiency echnical efficiency S1 - S2 - S 1 + S 2 + S 3 + λ j RTS 2000 DUM DUM DUM DUM DUM DUM DUM DUM DUM DUM

47 47. 24 2008 DUM9 0. 0247 57. 58 57. 48 62. 91 50. 22 2009 DUM10 0. 0261 57. 01 60. 22 65. 29 55. 21 3. 1 X2 Y1 Y2 Y3 X2 1. 000 0. 944 ** 0. 928 ** 0. 936 ** Decision Making Epoch DME Y1 0.

4 DEA DMU DMU DMU 5 DMU DMU DMU DMU X1 X DEA DEA DEA DEA DEA DEA DEA DEA DEA DMU DEA DEA 176

9954 1 2000 2004 2005 2006 2007 X1 X2 2000 2006 2000 DEA 2004 2005 2006 2007 4 2001 2002 2003 2008 2009 4.

5 Cabral L Hortacsu A. The Dynamics of Seller Reputation Theory and Evidence from ebayr. Working Paper. New York U- niversity J J Resnick PZeckhauser R. Trust Among Strangers in Internet Transactions Empirical Analysis of ebay s Reputation System R. Working Paper Prepared for NBER Workshop J J J J J Akerlof G. The Market for Lemons Quality Under Uncertainty and the Market Mechanism J. Quarterly Journal of Economics Resnick P Kuwabara K Zeckhauser Ret al Reputation Systems J. Communications of the ACM Houser DWooders J. Reputation in Internet Auctions Theory and Evidence from ebay J. Journal of Economics and Management Strategy Dellarocas C. The Digitization of Word - of - mounth Promise and Challenges of Online Feedback MechanismsJ. Management Science J. 16 J J J Paul A Pavlou Angelika Dimoka. The Nature and Role of Feedback Text Comments in Online Marketplaces Implications for Trust Building Price Premiumsand Sell Differentiation J. In- 429 R. formation System Research Lee JPark D Han I. The Effect of Negative Online Consumer Reviews on Product Attitude An Information Processing View J. Electronic Commerce Research and Applications 檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪檪 3. DEA J Richard Walker. DEA J. DEA J DEA AHP J. 8. M J J D J

2008 3 42-45 12 J. 2007 28 2 333-336 13 J. 2004 22 9 5-9 14 J. 2008 27 4 59-65 15. J. 2009 3 9-12 1Akerlof G. The Market for Lemons Quality Under Uncertainty and the Market Mechanism J.

具有多个输入特别是多个输出的部门或单位 ( 称为决策单元 Decision Making Unit 简称 DMU) 间的相对有效 8 性 C2R 模型是 DEA 的个模型也是 DEA 的基础和重要模型假设有 n 个决策单元 DMUj( j = 1 2 3 n) 每个 DMU 有 m

具有多个输入特别是多个输出的部门或单位 ( 称为决策单元 Decision Making Unit 简称 DMU) 间的相对有效 8 性 C2R 模型是 DEA 的个模型也是 DEA 的基础和重要模型假设有 n 个决策单元 DMUj( j = 1 2 3 n) 每个 DMU 有 m 基于 DEA 模型的我国政府社会管理职能绩效评价研究以 30 个省 ( 直辖市自治区 ) 为统计样本的实证分析 * 李超显摘要政府社会管理职能绩效评价是政府管理中的一个重点和难点问题本文采用数据包络分析模型对中 30 国 30 个省( 直辖市自治区) 的政府社会管理职能绩效进行时空差异分析和实证评价研究发现个省( 直辖市自治区) 的政府社会管理职能绩效具有空间差异性雁行形态和区域梯度性