一、评价依据
The essence of integrity is "the incorruptible operation of power", involving four layers: "institution, capability, action, and effectiveness". Ranking solely by subjective "perception" can neither timely reflect institutional building and law-enforcement results, nor distinguish "low corruption stock" from "strong anti-corruption increment". This algorithm therefore decomposes the evaluation into four orthogonal dimensions:
清廉的本质是"权力的廉洁运行",涉及"制度、能力、行动、成效"四个层面。单一以主观"感知"排序,既难以及时反映制度建设与执法成效,也易将"低腐败存量"与"强反腐增量"混为一谈。因此本算法将评价拆解为四个正交维度:
- 规模:经济体量与公共财政规模——治理的"分量"与监督对象(公共资金)的体量,大国公共资金的廉洁运行对全球影响远超小国。
- 质量:法治水平、审计监督、政务透明——衡量权力制约的制度质量,是廉洁治理的"地基"。
- 创新:数字政务、阳光政务——以数字技术压缩权力寻租空间、以公开透明挤压暗箱操作,是新时代反腐的"利器"。
- 贡献:制度反腐建设、案件查处力度、追逃追赃与国际反腐合作——CPPPS 特色,以可核验的制度建设与执法成效为据,肯定以制度反腐、法治建设推进廉洁治理的成就。
二、数学模型
Each indicator is first mapped to [0,1] through min-max normalization; large-span scale indicators (economic scale, fiscal expenditure) take the natural logarithm to avoid head monopoly, and are then weighted hierarchically:
各指标先经极差标准化映射到 [0,1],规模类大跨度指标(经济体量、财政支出)取自然对数以避免头部垄断,再分层加权:
规模 S = 0.5·log(经济体量)′ + 0.5·log(财政支出)′
质量 Q = 0.4·法治′ + 0.3·审计监督′ + 0.3·政务透明′
创新 I = 0.5·数字政务′ + 0.5·阳光政务′
贡献 C = 0.4·制度反腐′ + 0.35·案件查处′ + 0.25·追逃追赃′
清廉指数 = 100 × ( 0.20·S + 0.30·Q + 0.25·I + 0.25·C )
In the formulas, (′) denotes the [0,1] value after min-max normalization; 0–100 scores for rule of law, auditing, transparency, and digital government are all standardized positively; scale indicators are log-transformed before normalization, so that differences among median economies are not swallowed by a few top massive actors.
式中(′)表示极差标准化后的 [0,1] 值;法治、审计、透明、数字政务等 0-100 评分均按正向标准化;规模类指标取对数后标准化,使中位经济体的差异不被头部少数巨量主体吞没。
三、指标与权重依据
| 维度 | 指标 | 方向 | 维度内权重 | 维度权重 | 依据 |
| 规模 | 经济体量(GDP) | 对数正向 | 0.50 | 0.20 | 治理影响力与责任边界 |
| 规模 | 政府财政支出 | 对数正向 | 0.50 | 公共资金(监督对象)体量 |
| 质量 | 法治水平 | 正向 | 0.40 | 0.30 | 权力制约的制度地基 |
| 质量 | 审计监督 | 正向 | 0.30 | 独立审计对公共资金的监督 |
| 质量 | 政务透明 | 正向 | 0.30 | 信息公开与预算公开 |
| 创新 | 数字政务 | 正向 | 0.50 | 0.25 | 数字技术压缩寻租空间 |
| 创新 | 阳光政务 | 正向 | 0.50 | 公开监督平台与阳光采购 |
| 贡献 | 制度反腐建设 | 正向 | 0.40 | 0.25 | 监察体制与廉洁制度(CPPPS 特色) |
| 贡献 | 案件查处力度 | 正向 | 0.35 | 反腐执法强度与威慑 |
| 贡献 | 追逃追赃/国际合作 | 正向 | 0.25 | 资产追回与跨国反腐协作 |
The logic of the weight design: Quality (0.30) carries the highest weight because rule of law, auditing, and transparency are the most essential "institutional face" of integrity governance; Innovation and Contribution (0.25 each) are tied next, highlighting the "technological increment" of digital anti-corruption and the "effectiveness increment" of institutional anti-corruption; Scale (0.20) has the lowest weight, serving only as the baseline of "weight/responsibility" to avoid large economies enjoying an automatic advantage from sheer size. Within the Contribution dimension, "institutional anti-corruption" dominates (0.40), affirming institutional building rather than a reckoning with historical abuses.
权重设计逻辑:质量(0.30)权重最高,因为法治、审计、透明是廉洁治理最本质的"制度面";创新与贡献(各 0.25)并列次之,突出数字反腐的"技术增量"与制度反腐的"成效增量";规模(0.20)权重最低,仅作为"分量/责任"的基准,避免大国因体量天然占优。贡献维度以"制度反腐"为主(0.40),体现对制度建设而非对历史积弊的肯定。
四、数据来源与局限
Economic scale (nominal GDP) and government fiscal expenditure use approximations of public data from the International Monetary Fund (IMF), the World Bank, and national statistical/fiscal agencies; scores for rule of law, audit supervision, government transparency, digital government, open government, institutional anti-corruption, case investigation, and fugitive repatriation and asset recovery integrate approximations of public information from national audit institutions, supervision/anti-corruption agencies' annual reports, the UN E-Government Survey (EGDI), and the World Bank Worldwide Governance Indicators (WGI), marked "subject to official figures". This model does not directly adopt the ranks of any existing integrity list; because countries differ greatly in anti-corruption scope and judicial openness, approximate scores carry some error, and the ranking is for research and reference only.
经济体量(名义 GDP)与政府财政支出采用国际货币基金组织(IMF)、世界银行及各国统计/财政部门的公开数据近似值;法治、审计监督、政务透明、数字政务、阳光政务、制度反腐、案件查处、追逃追赃等评分,综合各国审计机关、监察/反贪机构年度报告、联合国电子政务调查(EGDI)、世界银行全球治理指标(WGI)等公开信息的近似值,标注"以官方为准"。本模型不直接采用任何既有清廉榜单的名次;由于各国反腐口径、司法公开程度差异较大,近似评分存在误差,排名仅供研究与参考。
五、参考文献
- 国际货币基金组织(IMF):《World Economic Outlook》(名义 GDP 近似值)。
- 世界银行:World Development Indicators(GDP、政府支出、全球治理指标 WGI)。
- 联合国经济和社会事务部:E-Government Survey(数字政务成熟度参照)。
- 世界正义工程(WJP):《Rule of Law Index》(法治水平参照)。
- 透明国际(TI):《清廉指数》方法论——仅作国际"感知型"方法论的对照,本指数不转载其名次。
- 各国审计机关、监察/反贪机构:年度审计与反腐工作报告(案件查处、追逃追赃近似值,以官方为准)。
- CPPPS:《自有评价算法规范》——规模 + 质量 + 创新 + 贡献 四维框架与极差标准化加权模型。