B01
Competition and Incentives
Discussion Papers

Discussion Paper No. 197
November 9, 2021

Decision Making under Uncertainty: An Experimental Study in Market Settings

Author:

Taisuke Imai (LMU Munich)
Federico Echenique (California Institute of Technology)
Kota Saito (California Institute of Technology)

Abstract:

We design and implement a novel experimental test of subjective expected utility theory and its generalizations. Our experiments are implemented in the laboratory with a student population, and pushed out through a large-scale panel to a general sample of the US population. We find that a majority of subjects’ choices are consistent with maximization of some utility function, but not with subjective utility theory. The theory is tested by gauging how subjects respond to price changes. A majority of subjects respond to price changes in the direction predicted by the theory, but not to a degree that makes them fully consistent with subjective expected utility. Surprisingly, maxmin expected utility adds no explanatory power to subjective expected utility. Our findings remain the same regardless of whether we look at laboratory data or the panel survey, even though the two subject populations are very different. The degree of violations of subjective expected utility theory is not affected by age nor cognitive ability, but it is correlated with financial literacy.

Keywords:

uncertainty; subjective expected utility; maxmin expected utility; revealed preference;

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Discussion Paper No. 168
November 8, 2021

Meta-Analysis of Present-Bias Estimation Using Convex Time Budgets

Author:

Taisuke Imai (LMU Munich)
Tom Rutter (Stanford University)
Colin Camerer (California Institute of Technology)

Abstract:

We examine 220 estimates of the present-bias parameter from 28 articles using the Convex Time Budget protocol. The literature shows that people are on average present biased, but the estimates exhibit substantial heterogeneity across studies. There is evidence of modest selective reporting in the direction of overreporting present-bias. The primary source of the heterogeneity is the type of reward, either monetary or non-monetary reward, but the effect is weakened after correcting for potential selective reporting. In the studies using the monetary reward, the delay until the issue of the reward associated with the "current" time period is shown to influence the estimates of present bias parameter.

Keywords:

present bias; structural behavioral economics; meta-analysis; selective reporting;

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Discussion Paper No. 133

Bayesian Implementation and Rent Extraction in a Multi-Dimensional Procurement Problem

Author:

Klaus M. Schmidt (LMU Munich)
Fabian Herweg (University of Bayreuth)

Abstract:

We consider a multi-dimensional procurement problem in which sellers have private information about their costs and about a possible design flaw. The information about the design flaw is necessarily correlated. We solve for the optimal Bayesian procurement mechanism that implements the efficient allocation under the constraint that sellers are protected by limited liability. We show that the rents obtained from reporting costs truthfully can be used to reduce the rents sellers must get for reporting the flaw. We compare the optimal Bayesian mechanism to the optimal ex post incentive compatible mechanism that is informationally less demanding.

Keywords:

auctions; correlated types; inefficient renegotiation; multidimensional screening; procurement;

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Discussion Paper No. 120
November 5, 2021

Communicating Subjective Evaluations

Author:

Matthias Lang (LMU Munich)

Abstract:

Consider managers evaluating their employees' performances. Should managers justify their subjective evaluations? Suppose a manager's evaluation is private information. Justifying her evaluation is costly but limits the principal's scope for distorting her evaluation of the employee. I show that the manager justifies her evaluation if and only if the employee's performance was poor. The justification assures the employee that the manager has not distorted the evaluation downwards. For good performance, however, the manager pays a constant high wage without justification. The empirical literature demonstrates that subjective evaluations are lenient and discriminate poorly between good performance levels. This pattern was attributed to biased managers. I show that these effects occur in optimal contracts without any biased behavior.

Keywords:

communication; justification; subjective evaluation; centrality; leniency; disclosure;

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Discussion Paper No. 109

Consumer Exploitation and Notice Periods

Author:

Takeshi Murooka (Osaka University)
Marco Schwarz (University of Innsbruck)

Abstract:

Firms often set long notice periods when consumers cancel a contract, and sometimes do so even when the costs of changing or canceling the contract are small. We investigate a model in which a firm offers a contract to consumers who may procrastinate canceling it due to naive present-bias. We show that the firm may set a long notice period to exploit naive consumers.

Keywords:

notice periods; procrastination; present bias; time inconsistency; consumer naivete;

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Discussion Paper No. 103

Approximate Expected Utility Rationalization

Author:

Taisuke Imai (LMU Munich)
Federico Echenique (California Institute of Technology)
Kota Saito (California Institute of Technology)

Abstract:

We propose a new measure of deviations from expected utility, given data on economic choices under risk and uncertainty. In a revealed preference setup, and given a positive number e, we provide a characterization of the datasets whose deviation (in beliefs, utility, or perceived prices) is within e of expected utility theory. The number e can then be used as a distance to the theory. We apply our methodology to three recent large-scale experiments. Many subjects in those experiments are consistent with utility maximization, but not expected utility maximization. The correlation of our measure with demographics is also interesting, and provides new and intuitive findings on expected utility.

Keywords:

expected utility; revealed preference;

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Discussion Paper No. 57
November 4, 2021

The Impact of Social Media on Belief Formation

Author:

Marco Schwarz (University of Innsbruck)

Abstract:

Social media are becoming increasingly important in our society and change the way people communicate, how they acquire information, and how they form beliefs. Experts are concerned that the rise of social media may make interaction and information exchange among like-minded individuals more pronounced and therefore lead to increased disagreement in a society. This paper analyzes a learning model with endogenous network formation in which people have different types and live in different regions. I show that when the importance of social media increases, the amount of disagreement in the society first decreases and then increases. Simultaneously people of the same type hold increasingly similar beliefs. Furthermore, people who find it hard to communicate with people in the same region may interact with similar people online and consequently hold extreme beliefs. Finally, I propose a simple way to model people who neglect a potential correlation of signals and show that these people may be made worse off by social media.

Keywords:

social media; network formation; social learning; polarization; homophily; correlation neglect;

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Discussion Paper No. 56

Optimal Cost Overruns: Procurement Auctions with Renegotiation

Author:

Fabian Herweg (University of Bayreuth)
Marco A. Schwarz (University of Innsbruck)

Abstract:

Cost overrun is ubiquitous in public procurement. We argue that this can be the result of a constrained optimal award procedure: The procurer awards the contract via a price-only auction and cannot commit not to renegotiate. If cost differences are more pronounced for a fancy than a standard design, it is optimal to fix the standard design ex ante. If renegotiation takes place and the fancy design has higher production costs or the contractor's bargaining position is strong, the final price exceeds the initial price. Moreover, the procurer cannot benefit from using a multi-dimensional auction, i.e., under the optimal scoring auction each supplier proposes the standard design.

Keywords:

auction; cost overrun; procurement; renegotiation;

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Discussion Paper No. 49
November 3, 2021

The Timing of Choice-Enhancing Policies

Author:

Takeshi Murooka (Osaka University)
Marco Schwarz (University of Innsbruck)

Abstract:

Recent studies investigate policies motivating consumers to make an active choice as a way to protect unsophisticated consumers. We analyze the optimal timing of such choice-enhancing policies when a firm can strategically react to them. In our model, a firm provides a contract with automatic renewal. We show that a policy intending to enhance consumers’ choices when they choose a contract can be detrimental to welfare. By contrast, a choice-enhancing policy at the time of contract renewal increases welfare more robustly. Our results highlight that policies should be targeted in timing to the actual choice inefficiency.

Keywords:

active choice; automatic renewal; automatic enrollment; procrastination; consumer naivete; present bias;

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Discussion Paper No. 47

Procurement with Unforeseen Contingencies

Author:

Klaus M. Schmidt (LMU Munich)
Fabian Herweg (University of Bayreuth)

Abstract:

The procurement of complex projects is often plagued by large cost overruns. One important reason for these additional costs are flaws in the initial design. If the project is procured with a price-only auction, sellers who spotted some of the flaws have no incentive to reveal them early. Each seller prefers to conceal his information until he is awarded the contract and then renegotiate when he is in a bilateral monopoly position with the buyer. We show that this gives rise to three inefficiencies: inefficient renegotiation, inefficient production and ineffi- cient design. We derive the welfare optimal direct mechanism that implements the efficient allocation at the lowest possible cost to the buyer. The direct mechanism, however, imposes strong assumptions on the buyer’s prior knowledge of possible flaws and their payoff consequences. Therefore, we also propose an indirect me- chanism that implements the same allocation but does not require any such prior knowledge. The optimal direct and indirect mechanisms separate the improvement of the design and the selection of the seller who produces the good.

Keywords:

procurement; renegotiation; auctions; design flaws; adaption costs; behavioral contract theory;

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