Nora Szech

Tie-breaks and bid-caps in all-pay auctions ✩

We revisit the two bidder complete information all-pay auction with bid-caps introduced by Che and Gale (1998), dropping their assumption that tie-breaking must be symmetric. Any choice of tie-breaking rule leads to a different set of Nash equilibria. Compared to the optimal bid-cap of Che and Gale we obtain that in order to maximize the sum of bids, the designer prefers to set a less restrictive bid-cap combined with a tie-breaking rule which slightly favors the weaker bidder. Moreover, the designer is better off breaking ties deterministically in favor of the weak bidder than symmetrically.

Optimal advertising of auctions

We study a symmetric independent private values auction model where the revenue-maximizing seller faces a cost cn of attracting n bidders to the auction. If the distribution of valuations possesses an increasing failure rate (IFR), the seller overinvests in attracting bidders compared to the social optimum. Conversely, if the distribution is DFR, the seller underinvests compared to the social optimum. If the distribution of valuations becomes more dispersed, both, a revenue- and a welfare-maximizing seller, attract more bidders.

Organizations, Diffused Pivotality and Immoral Outcomes

This paper studies how organizational design affects moral outcomes. Subjects face the decision to either kill mice for money or to save mice. We compare a Baseline treatment where subjects are fully pivotal to a Diffused-Pivotality treatment where subjects simultaneously choose in groups of eight. In the latter condition eight mice are killed if at least one subject opts for killing. The fraction of subjects deciding to kill is higher when pivotality is diffused. The likelihood of killing is monotone in subjective perceptions of pivotality. On an aggregate level many more mice are killed in Diffused-Pivotality than Baseline.

Optimal Revelation of Life-Changing Information

Information about the future may be instrumentally useful, yet scary. For example, many patients shy away from precise genetic tests about their dispositions for severe diseases. They are afraid that a bad test result could render them desperate due to anticipatory feelings. We show that partially revealing tests are typically optimal when anticipatory utility interacts with an instrumental need for information. The same result emerges when patients rely on probability weighting. Optimal tests provide only two signals, which renders them easily implementable. While the good signal is typically precise, the bad one remains coarse. This way, patients have a substantial chance to learn that they are free of the genetic risk in question. Yet even if the test outcome is bad, they do not end in a situation of no hope.

Pleasures of Skill and Moral Conduct

This paper provides controlled experimental evidence that striving for pleasures of skill can have negative moral consequences and causally reduce moral values. Subjects perform an IQ-test. They know that each correctly solved question increases the likelihood of moral transgression. In terms of self-image, this creates a trade-off between signaling excellence and immoral disposition. We contrast performance in the IQ-test to test scores in an otherwise identical test, which is, however, framed as a simple questionnaire. We find that subjects perform significantly better in the IQ-test condition, and become less willing to reduce test scores in order to act morally.

Information Nudges and Self Control

We study the optimal design of information nudges for present-biased consumers who have to make sequential consumption decisions without exact prior knowledge of their long-term consequences. For arbitrary distributions of risk, there exists a consumer-optimal information nudge that is of cutoff type, recommending consumption or abstinence according to the magnitude of the risk. Under a stronger bias for the present, the target group receiving a credible signal to abstain must be tightened. We compare this nudge with those favored by a health authority or a lobbyist. When some consumers are more strongly present-biased than others, a traffic-light nudge is optimal.

The multiplier effect in two-sided markets with bilateral investments

Agents in a finite two-sided market are matched assortatively, based on costly investments. Besides signaling privately known, complementary types, the investments also directly benefit the match partner. The bilateral external benefits induce a complex feedback cycle that amplifies the agents’ signaling investments. Our main results quantify how the feedback effect depends on the numbers of competitors on both sides of the market. This yields detailed insights into the equilibria of two-sided matching contests with incomplete information, in particular for markets of small or moderate size. It also allows us to shed some new light on the relationship between finite and continuum models of pre-match investment.

Revenues and welfare in auctions with information release

Auctions are the allocation-mechanisms of choice whenever goods and information in markets are scarce. Therefore, understanding how information affects welfare and revenues in these markets is of fundamental interest. We introduce new statistical concepts, k- and k-m-dispersion, for understanding the impact of information release. With these tools, we study the comparative statics of welfare versus revenues for auctions with one or more objects and varying numbers of bidders. Depending on which parts of a distribution of valuations are most affected by information release, welfare may react more strongly than revenues, or vice versa.