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JoVE Science Education Cognitive Psychology
Prospect Theory
  • 00:00Overview
  • 01:31Experimental Design
  • 03:14Running the Experiment
  • 04:14Representative Results
  • 04:58Applications
  • 06:07Summary

前景理论

English

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Overview

资料来源: 实验室的乔纳森 Flombaum — — 约翰 · 霍普金斯大学

美元的价值是什么?货币存储值,以促进贸易。隐含在任何经济交易是一种货币单位的价值。但美元的主观价值是什么?长期以来,经济学家认为这问题是,具体而言,美元已由市场确定的值,美元的主观价值始终是,更多或更少的答案。

在 1970 年代初开始,实验心理学家丹尼尔 · 卡尼曼和阿莫斯 · 特沃斯基打乱了这种假设,显示,货币的主观价值最引人注目的是取决于若干因素,,是否正在讨论之中的损失或收益,和交易的整体大小。泵的直觉,认为这一事实,对大多数人,似乎合理为了节省 2 美元一加仑汽油驱动额外的半英里。但很少人会做同样的一辆新车成本节省 $2。因此,$2 是有时,但并不总是值得额外半英里驱动器。值是依赖语境。

由卡尼曼和特维斯基来描述如何人们心理价值货币设计理论 (商品和服务,和一般) 称为前景理论。2002 年,卡尼曼被授予诺贝尔经济学奖的前景理论,以及相关研究用实验心理学的理论与方法去理解经济决策 (Tversky 1996 年逝世.)。

通过调查实验获得了许多的前景理论的主要影响。调查包括赌博; 之间的选择例如,可能要求科目是否他们愿意接收 5 美元或接收什么与 50%的机会赢得 10 美元的风险。

这个视频将展示设计调查问题前景理论研究中使用的类型的程序。

Procedure

1.刺激设计 当选项已经知道了结果和概率时,经济学家作为平均加权通过他们各自的概率,其成果他们称之为选择预期值描述每个选项的值。 例如,$5 保证的赢了 $5,预期值和付出 $10,50%的时间 (和任何其他 50%的时间) 的赌博也有 $5: 0.5 x 0 + 0.5 x 10 = 5 预期的值。 制定赌博,往往会导致不同的决策,尽管相似或等于预期值(图 1),以设计恰当的调查,以研究?…

Results

There are several classic effects that arise in these surveys. Figure 1 illustrates one effect, sometimes known as loss aversion. People seem to place a greater subjective value on losses than on gains of equivalent value. For question 1, between 60-80% of participants will typically choose A, while the same proportion will choose B for question 2. A 50% gamble seems worth the risk to avoid a debt of $5, but not to earn an extra $5. $5 is subjectively more valuable when it is a loss.

Figure 2 illustrates two more typical effects, associated with certainty and large numbers. In question 1, the participant chooses between a guaranteed win of $10,000 or a 90% chance of winning $11,167. 90% is a good bet, and a payout of $11,167 gives that bet an expected value of $10,050. Still, almost no one picks the bet, revealing a baseline preference for certain outcomes. Question 2 sets up a very similar situation, but with much smaller numbers: a guaranteed win of $5 compared to a 0.9 chance of winning $67. Note that choice B produces an expected value of $55–$50 more than the guaranteed win. Here, a majority of participants choose B, forgoing a certain win for a chance to win an extra $50 (on average). But they don’t do the same with question 1. To an economist, $50 is worth $50. If a person takes a risk to win it in one place, they should do the same in another. But, psychologically, it turns out that $50 added to $10,000 is worth less than $50 added to $5.

Figure 2
Figure 2. Two gambles that demonstrate the effects of certainty and large numbers on subjective value. In (1), choice B has an expected value of $10,050, $50 more than the guaranteed win in choice A. Yet people overwhelmingly tend to choose A. In (2), the gamble in choice B again has an expected value that is $50 more than the certain outcome in choice A. But here, people overwhelmingly choose B. $50 in expected value seems worth the risk when it will be added to $5, but not when it will be added to $10,000. The subject value of $50 is smaller when it is framed in relation to a large number.

Based on hundreds of comparative gambles of this kind, in experiments spanning gains and losses, large and small numbers, and even using real (as opposed to hypothetical) payouts, Kahneman and Tversky developed the now famous and influential Prospect Theory curve (Figure 3). The curve relates subjective value to actual value in terms of gains and losses. Figure 4 emphasizes two main properties of the curve, rational subjective value placed on small gains—that is, small gains subjectively valued equivalently to their actual value—and an overestimation of small loses. Figure 5 emphasizes two more properties of the curve, diminishing subject value as actual value increases for already large gains or losses.

Figure 3
Figure 3. Based on their experiments, Kahneman and Tversky devised the descriptive Prospect Theory value function. The x-axis denotes the actual value of gains and losses, and the y-axis denotes the psychological value attributed subjectively.

Figure 4
Figure 4. Drawing a straight line through the origin helps to emphasize the ways that the Prospect Theory function deviates from what were previously the assumptions of economists. The straight line reflects a one-to-one correspondence between actual and subjective value. Small gains are valued appropriately. But small losses are overvalued subjectively.

Figure 5
Figure 5. Prospect Theory value function. Both large gains and losses are relatively undervalued.

Applications and Summary

Prospect Theory has had wide ranging implications and applications. That is why Kahneman was ultimately awarded the Nobel Prize.

For example, Prospect Theory explains a lot of gambling behavior, such as the tendency of people to continue gambling when they have losses. Even small losses loom large, subjectively, and it makes people willing to take risks they would not normally take when given the prospect of erasing a loss. But this usually has the effect of producing larger and larger debts. As a result, Prospect Theory has implications for preventing pathological gambling.

It also has had an enormous impact on marketing. For example, it explains the effectiveness of “loss leaders.” Stores will often advertise relatively large discounts on cheaper items—$20 off before Christmas on an item that normally costs $40. The item may even sell at a loss, a negative profit margin for the store, but the hope is that the discount will be perceived as larger than it actually is, so consumers will subjectively value it as worth more than $20, owing to it being a discount. That will drive them to the store, where they might spend more on high margin and big-ticket items: TVs, stereos, and the like. Imagine if the store offered a $20 discount on a $2000 TV instead. Would anyone rush to that particular store?

Transcript

“Prospect Theory” was devised by Daniel Kahneman and Amos Tversky, beginning in the 1970s, as a way to describe how people psychologically value currency.

On one hand, any unit of currency-like the US dollar-has an objective value, determined by the market. If a person is preparing to travel abroad and exchanging currency, it is this objective value that will dictate how many euros they can expect to receive for fifty dollars.

However, currency can also have a subjective, psychological value, which a person “assigns” to it based on many different factors, including the size of the purchase they are considering and potential relative savings.

To elaborate, a person may be willing to drive an extra mile to save two dollars on every gallon of gas, but not to save the same amount on a new, $20,000 car. Thus, two dollars is sometimes-but not always-worth an extra mile trip.

Originally formulated using survey data, Prospect Theory provides researchers with a model to predict an individual’s subjective perceptions of objective monetary gains or losses.

In this video, you will learn how to create survey questions to study Prospect Theory, collect and analyze participant data in the form of survey responses, and learn how these can provide insight into the psychological value people place on currency.

In this experiment, participants complete a survey with questions pertaining to gambles-theoretical events in which they could potentially lose or gain a sum of money.

In questions dealing with gains, a scenario is presented where the participant has already received money-like winning five dollars in a raffle.

The participant must then choose between two options as to what to do with the sum: either keep all of it, or risk it for a chance to win a higher amount.

Similarly, when a participant encounters a loss question, they must pick between options of paying a debt, or risking a greater loss for a chance to have the debt erased.

The trick here is that both options to a question have the same expected value-the average amount of money gained or lost over several trials-which takes into account the probability of a win or loss.

It’s the manner in which these values are presented-either as “sure things” or “risks” with a lower probability of success-which allows for an assessment of the subjective, psychological value of currency.

Participants are presented with a variety of such questions in a survey, where the probabilities of gains or loses-as well as the actual monetary amounts at stake-vary.

Here, the dependent variable is the subjective value of currency, which is determined by calculating the percentage of participants that chose a particular option to a question.

Based on the previous work of Kahneman and Tversky, it is expected that participants will overestimate the subjective value of monetary losses, especially small ones, viewing them as worth more than their actual, objective values.

To begin, create a survey with roughly 20 questions, and include questions dealing with diverse loss and gain scenarios.

Verify that both options associated with each question demonstrate the same expected value, as well as a range of monetary values with risks associated with different probabilities.

Before distributing the survey to participants, generate a cover page to include with informed consent, which explains to participants that they do not have to complete the questions, and that their responses are anonymous. Make sure to include a signature line for participants to indicate their consent.

Once the survey is finalized, distribute it to between 50 and 100 randomly selected participants. Note that individuals can be tested in groups. Allow them 15 min to complete the 20 questions.

When the participants are done, collect the surveys.

To analyze the data, for every question calculate the percentage of participants that chose each option-either A or B.

Compare participant preferences in similar questions, such as those dealing with small sums of money either lost or won.

Notice that more participants will tend to take a risk to avoid a financial loss compared to an equivalent gain, meaning that a greater subjective value is placed on monetary losses.

Also notice that participants will be less likely to risk large sums in gain scenarios, indicating that their subjective value of monetary gains can decrease depending on the context.

Now that you’ve learned how to create surveys to study Prospect Theory, let’s take a look at how experimental psychologists are using this theory to investigate aspects of decision-making behavior.

As surveys that assess Prospect Theory deal with monetary losses and gains, these studies can aid our understanding of the psychological underpinnings of gambling and gambling addiction.

Importantly, such work has allowed researchers to connect the high subjective value of monetary losses to the tendency to keep gambling even as debts mount.

Researchers can also pair automated variations of Prospect Theory surveys with technologies like functional MRI, which can identify “activated” brain regions. This helps scientists determine the neuroanatomical basis for how participants assign subjective values to monetary sums under different situations.

Finally, Prospect Theory can also be used to develop new marketing strategies, such as stores offering perceived discounts on lower-priced items, to which consumers would assign high subjective values.

You’ve just watched JoVE’s video on Prospect Theory. By now, you should have an idea of how to design survey questions to investigate this phenomenon, collect and analyze participants’ responses, and relate the Prospect Theory to human behaviors like gambling.

In addition, you should have a grasp of how the Prospect Theory relates to the subjective and objective values of currency, which are not always the same.

Thanks for watching!

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JoVE Science Education Database. JoVE Science Education. Prospect Theory. JoVE, Cambridge, MA, (2023).