Solved Problem: Do Dating Apps Have a Principal-Agent Problem?

Supports: Macroeconomics, Chapter 5, Section 5.3 or Chapter 6, Section 6.1; Microeconomics and Economics, Chapter 7, Section 7.3 or Chapter 8, Section 8.1.

Image from Reuters via the Wall Street Journal.

A recent paper by Iyah Rahwan, of the Max Planck Institute for Human Development in Berlin Germany, and colleagues raises the possibility that dating apps, like Tinder, OkCupid, and Bumble, may have a principal-agent problem. Dating apps—like nearly all other subscription apps—generate more income if subscribers pay for the app over a longer period of time. Many people use dating apps in the hope of connecting with another app user with whom they can have a long-term relationship.

a. What is the principal-agent problem?

b. Explain whether dating apps may have a principal-agent problem. If they do, who is the principal and who is the agent?

c. How does your answer to part b. affect your estimate of how likely people using dating apps are to find a long-term relationship using these apps?

Solving the Problem

Step 1:  Review the chapter material. This problem is about the principal-agent problem, so you may want to review either of the two sections in which the principal-agent problem is discussed:  Macroeconomics, Chapter 5, Section 5.3, “Information Problems and Externalities in the Market for Health Care” or Chapter 6, Section 6.1, “Types of Firms” (Microeconomics and Economics, Chapter 7, Section 7.3 or Chapter 8, Section 8.1.)

Step 2: Answer part a. by defining “principal-agent” problem. Principal-agent is defined in the textbook this way: A problem caused by an agent pursuing the agent’s own interests rather than the interests of the principal who hired the agent.

Step 3: Answer part b. by explaining why dating apps may have a principal-agent problem and by identifying who is the principal and who is the agent in this situation. With dating apps, the principal is the app user who, typically, uses the app to help find a partner for a long-term relationship. The owners of the dating app are the agent because they have been hired by the app user to help the user achieve the goal of starting a long-term relationship. Unfortunately, the owners of the dating app have a different goal than does the app user. The goal of the owners is to have users keep subscribing to the app. Anyone who finds a long-term relationship using the app is likely (we hope!) to drop his or her subscription to the app. Therefore, whereas the app user would like to quickly find a partner for a long-term relationship, the owners of the app want the app user to take a long time to find such a partner.

Step 4: Answer part c. by discussing how the principal-agent problem may affect the likelihood of someone using a dating app successfully finding someone for a long-term relationship. The answer to part b. indicates that dating apps may have an incentive to make it somewhat more difficult to find a long-term relationship using the app—perhaps by employing a matching algorithm that doesn’t result in users easily finding good matches. Therefore, it’s likely that the principal-agent problem make it less likely that people using dating apps will successfully find a partner for a long-term relationship.

Source: Iyah Rahwan, et al., “Price of Anarchy in Algorithmic Matching of Romantic Partners,”  ACM Transactions on Economics and Computation, Vol. 12, No. 1, pp. 1-25.

H/T Nicholas Christakis on X.

Is Vladimir Putin Acting Rationally?

Photo of Russian President Vladimir Putin from the Wall Street Journal.

On February 24, when Russian President Vladimir Putin launched an assault on Ukraine he apparently expected within a few days to achieve his main objectives, including occupying the Ukrainian capital of Kyiv and replacing the Ukrainian government. After three weeks, the fierce resistance of the Ukrainian armed forces have resulted in his failing to achieve these objectives. Although the Russian military had expected to experience few casualties or losses of equipment, in fact Russia has already lost more military personnel killed than the United States has since 2001 in Afghanistan and Iraq combined, as well as experiencing the destruction of many tanks, planes, and other equipment. 

The United States, the European Union, and other countries have imposed economic sanctions on Russia that have reduced the country’s ability to import or export most goods, other than oil and natural gas. The sanctions have the potential to reduce the standard of living of the average Russian citizen.

Most importantly, the war has killed thousands of Ukrainians and inflicted horrendous damage on many Ukrainian cities.

Despite all this, is Putin’s persistence in the invasion rational or if he were acting rationally would he instead withdraw his troops or accept a political comprise (at this writing, negotiations between representatives of Russia and Ukraine are continuing)?  First, recall the economic definition of rationality: People are rational when they take actions that are appropriate to achieve their goals given the information available to them. (We discuss rationality in Microeconomics, Chapter 10, Section 10.4, and in Economics, Chapter 10, Section 10.4.) Note that rationality does not deal with whether a person’s goals are good or bad. In this discussion, we are considering whether Putin is acting rationally in attempting to achieve the—immoral—goal of subjugating a foreign country.

Peter Coy, a columnist for the New York Times, discusses three reasons Putin may continue his attack on Ukraine even though, “The bloody invasion of Ukraine has been a disaster” for Putin. The first reason, Coy recognizes, involves an economic concept. His other two reasons can also be understood within the economic framework we employ in Microeconomics.

First, Coy argues that Putin may have fallen into one of the pitfalls to decision making we discuss in Chapter 10: A failure to ignore sunk costs. Coy notes that Putin may want to continue the attack to justify the death and destruction that has already occurred. However, those costs are sunk because no subsequent action Putin takes can reduce them. If Putin is continuing the attack for this reason, then Coy is correct that Putin is not acting rationally because he is failing to ignore sunk costs in making his decision. 

There is a subtle point, though, that Coy may be overlooking: Putin is effectively a dictator, but he may still believe he needs to avoid Russian public opinion turning too sharply against him. In that case, even if recognizes that he should ignore sunk costs he may believe that the Russian public may not be willing to ignore the costs of the death and destruction that has already occurred. In that case, his refusal to ignore this sunk cost be rational.

Coy’s second reason why Putin may continue the attack is that he may believe “just another few weeks of fighting will be enough to subdue Ukraine.”  Although Coy doesn’t discuss the point in these terms, it would be rational for Putin to continue the attack if he believes that the marginal benefit of doing so exceeds the marginal cost. (We discuss this point directly in Chapter 1, Section 1.1 “Optimal Decisions Are Made at the Margin,” and provided many examples throughout the text.)  The marginal cost includes the additional Russian military casualties and losses of equipment from prolonging the war and the cost of economic sanctions to the Russian economy. (It seems unlikely that Putin is taking into account the additional loss of life among Ukrainians and the additional devastation to Ukrainian cities from prolonging the war.)

The marginal benefit from continuing the attack would be either winning the war or obtaining a more favorable peace settlement in negotiations with the Ukrainian government. If Putin believes that the marginal benefit is greater than the marginal cost, he is acting rationally in continuing to attack. 

Coy’s final reason why Putin may continue the attack is that “he has little to lose by fighting on.” Although Coy doesn’t discuss the point in these terms, Russia may be suffering from a principal-agent problem. As we discuss in Microeconomics, Chapter 8, Section 8.1 (also Economics, Chapter 8, Section 8.1 and Macroeconomics, Chapter 6, Section 6.1) the principal-agent problem arises when an agent pursues the agent’s interst rather than the interests of the principal in whose behalf the agent is supposed to act. In this case, Putin is the agent and the Russian people are the principal. Putin’s own interest may be in prolonging the war indefinitely in the hopes of ultimately winning, despite the additional Russian soldiers who will be wounded or killed and despite the economic suffering of the Russian people resulting from the sanctions.

Although as president of Russia, Putin should be acting in the best interests of the Russian people, as a dictator, he can largely disregard their interests. Unlike his soldiers, Putin isn’t exposed to the personal dangers of being in battle. And unlike the average Russian, Putin will not suffer a decline in his standard of living because of economic sanctions.

Appalling as the consequences will be, Putin’s continuing his attack on Ukraine may be rational.

Sources: Peter Coy, “Here Are Three Reasons Putin Might Fight On,” New York Times, March 14, 2022; Alan Cullison, “Talks to End Ukraine War Pause as Russia’s Offensive Intensifies,” Wall Street Journal, March 14, 2022; and Thomas Grove, “Russia’s Military Chief Promised Quick Victory in Ukraine, but Now Faces a Potential Quagmire,” Wall Street Journal, March 6, 2022.