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Auction theory is one of the richest areas of research in economics over the past three decades. Yet whether and to what extent the introduction of secondary resale markets influences bidding behavior in sealed bid first-price auctions remains under researched. This study begins by developing theory to explore auctions with resale when private values are uncertain. We put our theory to the test by examining both field data and experimental data from the lab. Our field data are from a unique data set that includes nearly 3,000 auctions (over 10,000 individual bids) for cutting rights of standing timber in British Columbia from 1996-2000. In comparing bidding patterns across agents who are likely to have resale opportunities with those who likely do not, we find evidence that is consistent with our theoretical predictions. Critical evaluation of the reduced-form bidding model, however, reveals that sharp tests of the theoretical predictions are not possible because several other differences may exist across these bidder types. We therefore use a laboratory experiment to examine if the resale opportunity by itself can have the predicted effect. We find that while it does have the predicted effect, a theoretical model based on risk-averse bidders explains the overall data patterns more accurately than a model based on risk-neutral bidders. More generally, the paper highlights the inferential power of combining naturally occurring data with laboratory data.
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The tontine, which is an interesting mixture of group annuity, group life insurance, and lottery, has a peculiar place in economic history. In the seventeenth and eighteenth centuries it played a major role in raising funds to finance public goods in Europe, but today it is rarely encountered outside of murder mysteries. This study provides a formal model of individual contribution decisions under a tontine mechanism. We analyze the performance of tontines and compare them to another popular fundraising scheme used today by both government and charitable fundraisers: lotteries. Our major theoretical results are that (i) the optimal tontine for agents with identical valuations of the public good consists of all agents receiving a fixed "prize" amount in the first period equal to a percentage of their total contribution, (ii) contribution levels in the optimal tontine are identical to those of risk-neutral agents in an equivalently valued single prize lottery, (iii) contribution levels for the optimal tontine are independent of risk-aversion, and thereby outperform lotteries when agents are risk-averse, (iv) if agents are sufficiently asymmetric in their valuation of the public good, equilibrium contribution levels are larger under tontines than any lottery. In particular, one can obtain full participation in the tontine mechanism compared to only partial participation in a lottery. These insights highlight that the tontine institution can be a useful tool for fundraisers in the future.
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