一、评价依据
This algorithm follows the CPPPS proprietary evaluation-algorithm specification: it does not excerpt rankings from public lists but computes them from underlying public data, designing its own weights and ranking independently. It uses the six happiness driving factors measured by the UN World Happiness Report (GDP per capita, social support, healthy life expectancy, freedom of choice, generosity, and absence of corruption), but abandons its existing "near-equal-weight regression of six factors" conclusion and remaps them onto the CPPPS four-dimension framework.
本算法遵循 CPPPS 自有评价算法规范：不摘抄公开榜单名次，用底层公开数据自算，设计自有权重、独立排名。底层采用联合国《世界幸福报告》测度的六项幸福驱动因子（人均 GDP、社会支持、健康寿命、自由选择、慷慨、清廉），但放弃其「六因子近似等权回归」的既有结论，重新映射到 CPPPS 四维框架。
- 规模：经济体量（名义 GDP 总量），衡量一个国家为国民幸福提供物质基础的总量能力。
- 质量：健康寿命、社会支持、人均 GDP、清廉四项合成，衡量幸福的「质」——活得久、有人靠、富得均、风气正。
- 创新：自由选择，衡量个体在人生选择上的自主空间，是幸福感中「自我实现」的核心来源。
- 贡献：慷慨（慈善捐赠与利他行为），衡量一个社会对他人与全球公共利益的贡献——CPPPS 特色维度，源自「利他幸福观」：真正的幸福在于给他人创造价值。
二、数学模型
Each underlying indicator is first range-normalized to [0,1]; large-span scale indicators (economic size and GDP per capita) are log-transformed to avoid top-tier monopoly and to reflect the diminishing marginal utility of income (the Easterlin paradox).
各底层指标先经极差标准化到 [0,1]；规模类大跨度指标（经济体量、人均 GDP）取对数，避免头部垄断并体现收入的边际递减（Easterlin 悖论）。
Among them, absence of corruption = 1 − corruption perception (the lower the corruption perception, the higher the integrity); generosity may take negative values, and range normalization naturally spreads the gaps. Weight settings: Quality is highest (40%, as the "quality" of happiness is the core), followed by Scale (25%); Contribution (20%) reflects CPPPS's high regard for altruistic value, and Innovation (15%) reflects the weight of freedom of choice.
其中清廉 = 1 − 腐败感知（腐败感知越低，清廉度越高）；慷慨可为负值，极差标准化后自然拉开差距。权重设定：质量最高（40%，幸福的「质」是核心），规模次之（25%），贡献（20%）体现 CPPPS 对利他价值的高度重视，创新（15%）体现自由选择的权重。
三、指标与权重依据
| 维度 | 底层指标 | 权重 | 处理 | 依据 |
|---|
| 规模 | 经济体量（GDP总量） | 25% | 对数 | 物质基础总量；对数避免头部垄断 |
| 质量 | 人均 GDP | 10% | 对数 | 富裕程度；边际递减（Easterlin 悖论） |
| 质量 | 健康寿命 | 10% | 线性 | 幸福之「长寿/康宁」，健康是硬门槛 |
| 质量 | 社会支持 | 10% | 线性 | PERMA 之关系；有人可依靠 |
| 质量 | 清廉 | 10% | 反向 | 制度质量；腐败侵蚀社会信任 |
| 创新 | 自由选择 | 15% | 线性 | 自我实现；人生自主空间 |
| 贡献 | 慷慨（全球公益） | 20% | 线性 | 利他幸福观；CPPPS 特色维度 |
The weights sum to 100%. Compared with the UN World Happiness Report's "near-equal weighting of six factors," CPPPS differs in that: ① it upgrades "generosity" from one-sixth of a factor to an independent "Contribution" dimension with a 20% weight, highlighting altruistic value; ② it folds "absence of corruption" into the Quality dimension as part of institutional quality; ③ it introduces "economic size" as the Scale dimension, giving equal weight to aggregate capacity and per-capita quality.
合计权重 100%。与联合国《世界幸福报告》「六因子近似等权」相比，CPPPS 的差异在于：①将「慷慨」从六分之一因子升级为独立「贡献」维度并赋予 20% 权重，突出利他价值；②将「清廉」并入质量维度，作为制度质量的一部分；③引入「经济体量」作为规模维度，使总量能力与人均质量并重。
四、数据来源与局限性
The six underlying factors (GDP per capita, social support, healthy life expectancy, freedom of choice, generosity, and absence of corruption) reference the measurement calibers of the UN World Happiness Report, and economic size references World Bank/IMF nominal GDP. All values are publicly known approximate values, annotated "subject to official sources." Limitations: ① social support, freedom, generosity, and absence of corruption come from subjective scales and have cross-cultural comparability issues; ② the calibers of economic size and GDP per capita (nominal vs. purchasing power parity) are not unified; ③ the sample covers about 30 major economies and does not encompass all countries; ④ "happiness" is highly subjective, and any combination of objective indicators can only approximate it. The ranking is for research and reference only.
底层六因子（人均 GDP、社会支持、健康寿命、自由选择、慷慨、清廉）参考联合国《世界幸福报告》的测度口径，经济体量参考世界银行/IMF 名义 GDP。所有数值均为公开常识近似值，标注「以官方为准」。局限性：①社会支持、自由、慷慨、清廉来自主观量表，存在跨文化可比性问题；②经济体量与人均 GDP 口径（名义/购买力平价）未统一；③样本覆盖约 30 个主要经济体，未涵盖全部国家；④「幸福」高度主观，任何客观指标组合都只能近似。排名仅供研究与参考。
五、参考文献
- Helliwell, J. F., Layard, R., Sachs, J. D., et al.（编）：《World Happiness Report》，联合国可持续发展解决方案网络（SDSN）。
- 世界银行（World Bank）：各国名义 GDP 与人均 GDP 数据。
- 世界卫生组织（WHO）：健康期望寿命（HALE）数据。
- Easterlin, R.（1974）："Does Economic Growth Improve the Human Lot?"，Nations and Households in Economic Growth。
- 塞利格曼《持续的幸福》：PERMA 模型。
- 亚里士多德《尼各马可伦理学》：Eudaimonia 与德性伦理。
- 《尚书·洪范》：「五福」（长寿、富贵、康宁、好德、善终）。