10. Psychology
10. Psychology
本章导读 本章梳理一些对解释金融市场异象可能有用的心理学概念。§10.1 认知心理学:10.1.1 偏好心理(前景理论 §2、模糊厌恶 Ellsberg 1961、时间不一致 Beta-Delta §3);10.1.2 信念心理(锚定/代表性/可得性 Tversky & Kahneman 1974;过度自信——过度精确/过度定位/过度估计;小数定律 Rabin 2002 与赌徒谬误/热手谬误;信念固执/确认偏差;外推 Greenwood & Shleifer 2014 投资者预期与过去收益正相关、与模型隐含预期负相关,图 10.1;凯恩斯选美竞赛高阶思维 + Thaler 猜数字游戏图 10.2);10.1.3 情绪影响偏好与信念(情感性 Johnson & Tversky 1983、认知性=熟悉度)。§10.2 社会心理学(行为 = 人格 + 环境,环境或更重要):认知失调、从众(Asch 1951)、群体思维 Janis 1972、服从。图 10.1–10.2 已转述。
10. Psychology
Overview This chapter reviews some psychology concepts potentially useful for explaining financial-market anomalies. §10.1 cognitive psychology: 10.1.1 psychology of preferences (prospect theory §2, ambiguity aversion Ellsberg 1961, time inconsistency Beta-Delta §3); 10.1.2 psychology of beliefs (anchoring/representativeness/availability Tversky & Kahneman 1974; overconfidence — over-precision/over-placement/over-estimation; law of small numbers Rabin 2002 and gambler's/hot-hand fallacy; belief perseverance/confirmation bias; extrapolation Greenwood & Shleifer 2014, investor expectations positively correlated with past returns and negatively with model-implied expected returns, Figure 10.1; Keynes' beauty contest higher-order thinking + Thaler's guess-the-numbers game, Figure 10.2); 10.1.3 feelings can affect preferences and beliefs (affective Johnson & Tversky 1983, cognitive = familiarity). §10.2 social psychology (behavior = personality + environment, environment may matter more): cognitive dissonance, conformity (Asch 1951), groupthink Janis 1972, obedience. Figures 10.1–10.2 are paraphrased.
本节描述一些来自心理学、对解释金融市场异象可能有用的重要概念。有些概念已在前面章节详述、有些只是此前提及,故在此更仔细地讨论。
10.1 认知心理学 / Cognitive Psychology
10.1.1 偏好心理 / Psychology of Preferences
- 前景理论 (Prospect theory):见 §2。
- 模糊厌恶 (Ambiguity aversion):Ellsberg (1961) 讨论模糊厌恶,即不确定的不确定性比确定的不确定性更糟,人们更愿知道面对的是哪种不确定性。这与新古典分析相对(后者认为人们只关心最终结果的概率分布)。
- 偏好的时间不一致 (Time inconsistency of preferences):见 §3 的 Beta-Delta 模型。
10.1.2 信念心理 / Psychology of Beliefs
This section describes some important notions from psychology that are potentially useful in explaining the anomalies in financial markets. Some concepts have been covered in detail in previous sections, while others are just mentioned before, so they are discussed more carefully in this section.
10.1 Cognitive Psychology
10.1.1 Psychology of Preferences
- Prospect theory: see §2.
- Ambiguity aversion: Ellsberg (1961) discussed ambiguity aversion, which means uncertain uncertainty is worse than certain uncertainty, i.e. it is preferable to know what uncertainty it is. This is in contrast to neoclassical analysis in which people only care about the probability distribution of the final outcome.
- Time inconsistency of preferences: see the Beta-Delta model in §3.
10.1.2 Psychology of Beliefs
信念心理的概念 / Concepts in the psychology of beliefs 锚定、代表性与可得性偏差(或记忆偏差):Tversky & Kahneman (1974) 提出的三大基本启发式与偏差,见 §1.2.4。过度自信 (Overconfidence):其伞下有多个概念——过度精确 (over-precision):人们总是对自己信念的准确性过于自信;过度定位 (over-placement):人们倾向认为挫折更可能发生在别人而非自己身上;过度估计 (over-estimation):人们对自身能力或成功机会总是过于乐观。小数定律 (Law of small numbers):Rabin (2002) 提出该术语,指人们夸大小样本对总体的代表程度;这与 §6.3 讨论的赌徒谬误(脚注:赌徒谬误的例子——公平抛硬币中,主体在看到一连串反面后赋予正面更高的主观概率)(Tversky & Kahneman 1974) 与热手谬误 (Gilovich et al. 1985) 相关,因为两种情形下主体都相信小样本频率应反映总体均值。信念固执 / 确认偏差:人们一旦形成观点就总不愿改变,即便收到新信息、尤其是与其先验相悖的新信息。Anchoring, representativeness and availability bias (or memory bias): the three fundamental heuristics and biases proposed by Tversky & Kahneman (1974), see §1.2.4. Overconfidence: there are many concepts under its umbrella — over-precision: people are always too confident about the accuracy of their beliefs; over-placement: people tend to think setbacks are more likely to happen to others than to themselves; over-estimation: people are always too rosy (optimistic) about their own abilities or chances of success. Law of small numbers: Rabin (2002) proposed this term, saying people exaggerate the degree to which a small sample represents the population; this is related to the gambler's fallacy (footnote: an example for the gambler's fallacy — in a fair coin toss, an agent whose subjective probability of a head after seeing a series of consecutive tails has a higher subjective probability of a head) (Tversky & Kahneman 1974) and the hot-hand fallacy (Gilovich et al. 1985) discussed in §6.3, because in both cases agents believe small-sample frequencies should reflect the population mean. Belief perseverance / confirmation bias: once people have formed an opinion, they are always reluctant to change it even after receiving new information, especially new information against their prior beliefs.
外推与凯恩斯选美竞赛 / Extrapolation and Keynes' beauty contest 外推 (Extrapolation):人们倾向基于对当前或过去数据的观察来做未来预测。Greenwood & Shleifer (2014)(脚注:该文在 He 2020a 第 27.1 节详述)用 1963–2011 年六个数据源关于投资者对未来股市收益的预期,发现投资者预期与过去股票收益及股市水平正相关、却与模型隐含的预期收益负相关(图 10.1)。这是反对"理性预期代表性投资者模型"的证据,体现投资者的外推行为。凯恩斯"选美竞赛"(higher order thinking):重要的不是某物真实如何,而是别人认为它如何。凯恩斯以一个报纸竞赛作比喻:参与者从一百张照片中选出六张最有吸引力的脸,选中最受欢迎面孔者有奖;最重要的不是凭自己最佳判断挑最美的脸,而是三阶思维——找出"平均意见所预期的平均意见"。另一个例子:Thaler 在《金融时报》玩"猜数字"游戏,读者猜 \(0\) 到 \(100\) 的数,猜得最接近全体平均的 \(\tfrac23\) 者得两张伦敦到美国的商务舱机票;理性均衡本应是人人猜零,然而现实并非如此(图 10.2)。Extrapolation: people tend to make future projections based on their observation of current or past data. Greenwood & Shleifer (2014) (footnote: this paper is discussed in detail in §27.1 in He 2020a) use six data sources between 1963 and 2011 on investor expectations of future stock-market returns, and find investor expectations are positively correlated with past stock returns and the level of the stock market but negatively correlated with the model-implied expected returns (Figure 10.1). This is evidence against the rational-expectations representative-investor models and shows the extrapolation behaviors of investors. Keynes' "beauty contest" (higher-order thinking): the important thing is not what something really is, but what others think it is. Keynes describes an analogy about a newspaper contest: participants choose the six most attractive faces from a hundred photographs, and those who pick the most popular faces are eligible for a prize; the most important thing is not to pick the prettiest face to one's own best knowledge, but third-order thinking — to find what the average opinion expects the average opinion to be. Another example: Thaler played the "guess the numbers" game in the Financial Times, where readers guess a number between \(0\) and \(100\) and those whose guess is closest to \(\tfrac23\) of the average get two business-class tickets from London to the U.S.; the rational equilibrium should be everyone guessing zero, however this didn't happen (Figure 10.2).
10.1.3 情绪可影响偏好与信念 / Feelings Can Affect Preferences and Beliefs
情感性与认知性情绪 / Affective and cognitive feelings 情感性情绪 (Affective feelings):由外生刺激带来的更愉快心情,会导致对无关的未来结果作出更正面的判断。Johnson & Tversky (1983) 用简短的报纸报道操纵被试的情绪 (affect),结果表明:一则悲剧性报道使被试对无关风险与不良事件的频率估计大幅上升;相反,一则愉快事件的报道则降低其对风险频率的判断。认知性情绪 (Cognitive feelings):人们倾向对那些更易于获取与处理(即更熟悉)的事物作出更正面的判断。Affective feelings: a happier mood due to an exogenous stimulus leads to more positive judgments about unrelated future outcomes. Johnson & Tversky (1983) conduct experiments in which the subject's affect (emotion) is manipulated by a brief newspaper report, and the results show that a tragic report leads to a substantial increase in the subject's estimates of the frequency of unrelated risks and undesirable events; on the contrary, a report of a happy event reduces their judgment of the frequency of risks. Cognitive feelings: people tend to have a more positive judgment on the things that are easier for them to access and process, i.e. more familiar things.
图 10.1、10.2(已转述 / Figures 10.1, 10.2, paraphrased) 图 10.1(Gallup %看多−%看空 与过去收益):横轴为时间(约 1996–2010),虚线为 CRSP 价值加权股指的 12 个月滚动名义收益、实线为 Gallup 调查的"%看多−%看空"投资者预期;两线同向波动——投资者预期随过去收益与市场水平上升而上升(外推)。图 10.2(猜数字报纸游戏):《金融时报》实验 1,468 名被试的猜数分布直方图,横轴为 \(0\)–\(100\) 的猜测值、纵轴相对频率;分布散布且在 \(22\)、\(33\) 等处有小峰,平均 18.91、获胜数字(平均的 \(\tfrac23\))为 13——远非理性均衡的 0。Figure 10.1 (Gallup %Bullish−%Bearish and past returns): the horizontal axis is time (about 1996–2010), the dashed line the 12-month rolling nominal return on the CRSP Value-Weighted stock index, the solid line the "%Bullish−%Bearish" investor expectation from Gallup surveys; the two lines move together — investor expectations rise with past returns and the market level (extrapolation). Figure 10.2 (guess-the-numbers newspaper game): a histogram of the guesses of 1,468 subjects in the Financial Times experiment, the horizontal axis the guess value \(0\)–\(100\), the vertical axis relative frequency; the distribution is dispersed with small peaks at \(22\), \(33\) etc., with an average of 18.91 and a winning number (\(\tfrac23\) of the average) of 13 — far from the rational equilibrium of 0.
10.2 社会心理学 / Social Psychology
社会心理学的思想在解释金融市场现象上强大而有前景,但社会心理学在金融学界相对认知心理学更不发达。心理学的基本框架是:行为是人格与环境的函数。以前人们认为人格是行为的驱动力;如今人们有共识——环境也许更重要。
10.2 Social Psychology
The ideas in social psychology are powerful and promising in explaining financial-market phenomena, but social psychology is relatively under-developed in finance academia than cognitive psychology is. The basic framework in psychology is that behavior is a function of personality and environment. Previously people thought personality was the driving force for behavior; now people have a consensus that the environment might matter more.
社会心理学概念 / Concepts in social psychology 认知失调 (Cognitive dissonance):当人们采取与其(通常正面的)自我形象相冲突的行动时会感到不适,于是可能操纵自己的信念以避免这种不适。从众 (Conformity):人们倾向顺从群体;Asch (1951) 的从众实验见 §4.6.1。群体思维 (Groupthink):Janis (1972) 讨论该术语,指群体共识与凝聚力比事实本身更重要、从而压制异议与对替代方案的评估的思维方式;当下列情形时效应更强:群体被珍视且有吸引力、群体与外部意见隔绝、有强势领导者表明其观点、情境紧张、没有考虑其他意见的流程。服从 (Obedience):人们倾向听从权威人物的命令或指示,即便任务看起来不当;即便日后永不再见该权威,仍不想让其失望。Cognitive dissonance: people feel discomfort when they take an action that conflicts with their (typically positive) self-image, so they might manipulate their beliefs to avoid the discomfort. Conformity: people tend to conform to the group; see §4.6.1 for the Asch (1951) conformity experiment. Groupthink: Janis (1972) discusses this term, referring to a thinking in which group consensus and cohesiveness are more important than the facts themselves, so that dissent and appraisal of alternatives are suppressed; the effect is stronger when: the group is valued and attractive, the group is isolated from other opinions, there is a strong leader who makes his view known, the situation is stressful, and there is no process for considering other opinions. Obedience: people tend to follow the orders or instructions from an authority figure even when the task seems inappropriate; even if they will never see the authority again in the future, they still don't want to disappoint him/her.
参考文献 / References
- Asch, S. E. (1951). Effects of Group Pressure upon the Modification and Distortion of Judgments. Organizational Influence Processes, 295–303.
- Ellsberg, D. (1961). Risk, Ambiguity, and the Savage Axioms. Quarterly Journal of Economics, 643–669.
- Gilovich, T., Vallone, R., & Tversky, A. (1985). The Hot Hand in Basketball: On the Misperception of Random Sequences. Cognitive Psychology, 17(3), 295–314.
- Greenwood, R., & Shleifer, A. (2014). Expectations of Returns and Expected Returns. Review of Financial Studies, 27(3), 714–746.
- He, X. (2020a). Asset Pricing Notes by Xindi He.
- Janis, I. L. (1972). Victims of Groupthink: A Psychological Study of Foreign-policy Decisions and Fiascoes.
- Johnson, E. J., & Tversky, A. (1983). Affect, Generalization, and the Perception of Risk. Journal of Personality and Social Psychology, 45(1), 20.
- Rabin, M. (2002). Inference by Believers in the Law of Small Numbers. Quarterly Journal of Economics, 117(3), 775–816.
- Tversky, A., & Kahneman, D. (1974). Judgment under Uncertainty: Heuristics and Biases. Science, 185(4157), 1124–1131.
References
- Asch, S. E. (1951). Effects of Group Pressure upon the Modification and Distortion of Judgments. Organizational Influence Processes, 295–303.
- Ellsberg, D. (1961). Risk, Ambiguity, and the Savage Axioms. Quarterly Journal of Economics, 643–669.
- Gilovich, T., Vallone, R., & Tversky, A. (1985). The Hot Hand in Basketball: On the Misperception of Random Sequences. Cognitive Psychology, 17(3), 295–314.
- Greenwood, R., & Shleifer, A. (2014). Expectations of Returns and Expected Returns. Review of Financial Studies, 27(3), 714–746.
- He, X. (2020a). Asset Pricing Notes by Xindi He.
- Janis, I. L. (1972). Victims of Groupthink: A Psychological Study of Foreign-policy Decisions and Fiascoes.
- Johnson, E. J., & Tversky, A. (1983). Affect, Generalization, and the Perception of Risk. Journal of Personality and Social Psychology, 45(1), 20.
- Rabin, M. (2002). Inference by Believers in the Law of Small Numbers. Quarterly Journal of Economics, 117(3), 775–816.
- Tversky, A., & Kahneman, D. (1974). Judgment under Uncertainty: Heuristics and Biases. Science, 185(4157), 1124–1131.