Discussion Paper No. 308
December 27, 2021
The Bargaining Trap
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I revisit the Rubinstein (1982) model for the classic problem of price hag- gling and show that bargaining can become a “trap,” where equilibrium leaves one party strictly worse off than if no transaction took place (e.g., the equilibrium price exceeds a buyer’s valuation). This arises when one party is impatient about capturing zero surplus (e.g., Rubinstein’s example of fixed bargaining costs). Augmenting the protocol with unilateral exit options for responding bargainers generally removes the trap.
Keywords:
alternating offers; bargaining; time preferences; haggling costs; outside options;
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Discussion Paper No. 307
December 22, 2021
Strategy-Proof and Envy-Free Random Assignment
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We study the random assignment of indivisible objects among a set of agents with strict preferences. We show that there exists no mechanism which is unanimous, strategy-proof and envy-free. Weakening the first requirement to q-unanimity – i.e., when every agent ranks a different object at the top, then each agent shall receive his most-preferred object with probability of at least q – we show that a mechanism satisfying strategy-proofness, envy-freeness and ex-post weak non-wastefulness can be q-unanimous only for q ≤ n2 (where n is the number of agents). To demonstrate that this bound is tight, we introduce a new mechanism, Random-Dictatorship-cum-Equal-Division (RDcED), and show that it achieves this maximal bound when all objects are acceptable. In addition, for three agents, RDcED is characterized by the first three properties and ex-post weak efficiency. If objects may be unacceptable, strategy-proofness and envy-freeness are jointly incompatible even with ex-post weak non-wastefulness.
Keywords:
random assignment; strategy-proofness; envy-freeness; q-unanimity;
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Discussion Paper No. 306
December 1, 2021
Self-Persuasion: Evidence from Field Experiments at International Debating Competitions
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Laboratory evidence shows that when people have to argue for a given position, they persuade themselves about the position’s factual and moral superiority. Such self-persuasion limits the potential of communication to resolve conflict and reduce polarization. We test for this phenomenon in a field setting, at international debating competitions that randomly assign experienced and motivated debaters to argue one side of a topical motion. We find self-persuasion in factual beliefs and confidence in one’s position. Effect sizes are smaller than in the laboratory, but robust to a one-hour exchange of arguments and a ten-fold increase in incentives for accuracy.
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Discussion Paper No. 305
Cursed Consumers and the Effectiveness of Consumer Protection Policies
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We model firms’ quality disclosure and pricing in the presence of cursed consumers, who fail to be sufficiently skeptical about undisclosed quality. We show that cursed consumers are exploited in duopoly markets if firms are vertically differentiated, if there are few cursed consumers, and if average product quality is high. Three common consumer protection policies that work under monopoly, i.e. mandatory disclosure, third party disclosure and consumer education, may all increase exploitation and decrease welfare. Even where these policies improve overall welfare, they often lead to a reduction in consumer surplus. We show that our conclusions hold in extensions with endogenous quality choice and horizontal differentiation.
Keywords:
naive; cursed; disclosure; consumer protection; labeling; competition;
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Discussion Paper No. 304
Spin Doctors: An Experiment on Vague Disclosure
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Unfavorable news are often delivered under the disguise of vagueness. Our theory-driven laboratory experiment investigates this strategic use of vagueness in voluntary disclosure and asks whether there is scope for policy to improve information transmission. We find that vagueness is profitably deployed by senders to fool those receivers that lack strategic sophistication. Imposing precise disclosure leads to more easily interpretable messages, but results in fewer sender types disclosing at all. Since non- disclosure also systematically misleads naive receivers, the welfare implications of imposing precision are not obvious. However, our model and experiment show that information transmission and the welfare of naive receivers are improved by policies that impose precision. Our results speak to the rules governing firms’ disclosure of quality-relevant information, the disclosure of research findings, and testimonies in a court of law.
Keywords:
communication; naïveté; flexibility; regulation;
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Discussion Paper No. 303
November 29, 2021
Aiding Applicants: Leveling the Playing Field within the Immediate Acceptance Mechanism
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In school choice problems, the widely used manipulable Immediate Acceptance mechanism (IA) disadvantages unsophisticated applicants, but may ex-ante Pareto dominate any strategy-proof alternative. In these cases, it may be preferable to aid applicants within IA, rather than to abandon it. In a laboratory experiment, we first document a substantial gap in strategy choices and outcomes between subjects of higher and lower cognitive ability under IA. We then test whether disclosing information on past applications levels the playing field. The treatment is effective in partially reducing the gap between applicants of above- and below-median cognitive ability and in curbing ability segregation across schools, but may leave the least able applicants further behind.
Keywords:
laboratory experiment; school choice; immediate acceptance; strategy-proofness; cognitive ability; mechanism design;
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Discussion Paper No. 302
The Effects of an Increase in the Retirement Age on Health - Evidence from Administrative Data
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This study analyzes the causal effect of an increase in the retirement age on health. We exploit a sizable cohort-specific pension reform for women using two complementary empirical approaches – a Regression Discontinuity Design and a Difference-in-Differences approach. The analysis is based on official records covering all individuals insured by the public health system in Germany and including all certified diagnoses by practitioners. This enables us to gain a detailed understanding of the multi-dimensionality in these health effects. The empirical findings reflect the multi-dimensionality but allow for deriving two broader conclusions. We provide evidence that the increase in the retirement age negatively affects health outcomes as the prevalence of several diagnoses, e.g., mental health, musculoskeletal diseases, and obesity, increases. In contrast, we do not find support for an improvement in health related to a prolonged working life since there is no significant evidence for a reduction in the prevalence of any health outcome we consider. These findings hold for both identifica- tion strategies, are robust to sensitivity checks, and do not change when correcting for multiple hypothesis testing.
Keywords:
Germany; retirement; pension reform; health; ICD-10; regression discontinuity design; difference-in-differences;
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Discussion Paper No. 301
November 19, 2021
Optimal Non-Linear Pricing with Data-Sensitive Consumers
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We introduce consumers with intrinsic privacy preferences into the monopolistic non-linear pricing model. Next to classical consumers, there is a share of data-sensitive consumers who incur a privacy cost if their purchase reveals information to the monopolist. The monopolist discriminates between privacy types using privacy mechanisms which consist of a direct mechanism and a privacy option, targeting, respectively, classical and data-sensitive consumers. We show that a privacy mechanism is optimal if privacy costs are large and that it yields classical consumers a higher utility than data-sensitive consumers with the same valuation. If, by contrast, privacy preferences are public information, data-sensitive consumers with a low valuation obtain a strictly higher utility than classical consumers. With public privacy preferences, data-sensitive consumers and the monopolist are better off, whereas classical consumers are worse off. Our results are relevant for policy measures that target the data-awareness of consumers, such as the European GDPR.
Keywords:
optimal non-linear pricing; privacy; monopolistic screening;
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Discussion Paper No. 300
November 16, 2021
Face Mask Use and Physical Distancing Before and After Mandatory Masking: No Evidence on Risk Compensation in Public Waiting Lines
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During the COVID-19 pandemic, the introduction of mandatory face mask usage triggered a heated debate. A major point of controversy is whether community use of masks creates a false sense of security that would diminish physical distancing, counteracting any potential direct benefit from masking. We conducted a randomized field experiment in Berlin, Germany, to investigate how masks affect distancing and whether the mask effect interacts with the introduction of an indoor mask mandate. Joining waiting lines in front of stores, we measured distances kept from the experimenter in two treatment conditions – the experimenter wore a mask in one and no face covering in the other – in two time spans – before and after mask use becoming mandatory in stores. We find no evidence that mandatory masking has a negative effect on distance kept toward a masked person. To the contrary, masks significantly increase distancing and the effect does not differ between the two periods. However, we show that after the mandate distances are shorter in locations where more non-essential stores, which were closed before the mandate, had reopened. We argue that the relaxations in general restrictions that coincided with the mask mandate led individuals to reduce other precautions, like keeping a safe distance.
Keywords:
COVID-19; face masks; social distancing; risk compensation; field experiment; health policy;
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Discussion Paper No. 299
November 15, 2021
Expectation Management of Policy Leaders: Evidence from COVID-19
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This paper studies how the communication of political leaders affects the expectation formation of the public. Specifically, we examine the expectation management of the German government regarding COVID-19-related regulatory measures during the early phase of the pandemic. We elicit beliefs about the duration of these restrictions via a high-frequency survey of individuals, accompanied by an additional survey of firms. To quantify the success of policy communication, we use a regression discontinuity design and study how beliefs about the duration of the regulatory measures changed in response to three nationally televised press conferences by Chancellor Angela Merkel and the Prime Ministers of the German federal states. We find that the announcements of Angela Merkel and her colleagues significantly prolonged the expected duration of restrictions, with effects being strongest for individuals with higher ex-ante optimism.
Keywords:
expectations; belief updating; covid-19; shutdown;
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