Asymmetric information contests

We consider how asymmetries in information affect contest behavior. We find two effects drive behavior-risk and perceptions of an opponent's value. Our results also suggest that the more tractable one-sided asymmetric information contest might be sufficient to capture contest behavior under uncertainty. However, the efficiency of a contest is sensitive to asymmetric information and the distribution a players' values because players with relatively low values can have an increased probability of success. Thus, it is important (a) to account for information asymmetries to avoid biasing predicted efficiency, and (b) to recognize that this bias is unsystematic.     

Rent-setting in multiple winner rent-seeking contests

In this paper, we analyze a multiple winner rent-seeking contest where the number of winners is set by a self-interested regulator. The winners receive a license to compete in a market. The structure of competition in the market influences the number of winners through the preferences of the regulator. The model indicates that Cournot competitors can be better off than firms that are able to collude on output determination.     

Asymmetric contests with general technologies

Summary. We investigate the pure-strategy Nash equilibria of asymmetric, winner-take-all, imperfectly discriminating contests, focussing on existence, uniqueness and rent dissipation. When the contest success function is determined by a production function with decreasing returns for each contestant, there is a unique pure-strategy equilibrium. If marginal product is also bounded, limiting total expenditure is equal to the value of the prize in large contests even if contestants differ. Partial dissipation occurs only when infinite marginal products are permitted. Our analysis relies heavily on the use of share functions and we discuss their theory and application.Received: 28 May 2003, Revised: 26 April 2004, JEL Classification Numbers: C72, D72. Correspondence to: Richard CornesMuch of the research in this paper was undertaken while the first author was a Visiting Scholar at the Centre for Economic Studies, University of Munich. The support of the Centre is gratefully acknowledged.     

Simultaneous inter- and intra-group conflicts

This paper models the trade-off between production and appropriation in the presence of simultaneous inter- and intra-group conflicts. The model exhibits a ‘group cohesion effect’: if the contest between the groups becomes more decisive, the players devote fewer resources to the intra-group conflict. Moreover, there is also a ‘reversed group cohesion effect’: if the intra-group contests become less decisive, the players devote more resources to the inter-group contest. The model also sheds new light on normative questions. I derive exact conditions for when dividing individuals into more groups leads to more productive and less appropriative activities. Moreover, I show that there is an optimal size of the organization which is determined by a trade-off between increasing returns to scale in production and increasing costs of appropriative activities. I want to thank Paul Heidhues, Kai Konrad, Thomas Kittsteiner, Klaas Staal, an anonymous referee, and in particular Dan Kovenock for very helpful comments and suggestions. Any remaining errors are mine. Financial support from the Deutsche Forschungsgemeinschaft through SFB/TR 15 is gratefully acknowledged.     

The value of commitment in contests and tournaments when observation is costly

We study the value of commitment in sequential contests when the follower faces small costs to observe the leader's effort. We show that the value of commitment vanishes entirely in this class of games. By contrast, in sequential tournaments—games where, at a cost, the follower can observe the effectiveness of the leader's effort—the value of commitment is preserved completely provided that the observation costs are sufficiently small.     

Gambling in contests

This paper presents a strategic model of risk-taking behavior in contests. Formally, we analyze an n-player winner-take-all contest in which each player decides when to stop a privately observed Brownian motion with drift. A player whose process reaches zero has to stop. The player with the highest stopping point wins. Unlike the explicit cost for a higher stopping time in a war of attrition, here, higher stopping times are riskier, because players can go bankrupt. We derive a closed-form solution of a Nash equilibrium outcome. In equilibrium, highest expected losses occur at an intermediate negative value of the drift.     

Delay in contests

Why is there delay in contests? In this paper, we follow and extend the line of reasoning of Carl von Clausewitz to explain delay. For a given contest technology, delay may occur if there is an asymmetry between defense and attack, if the expected change in relative strengths is moderate, and if the additional cost of investment in future strength is low.     

Strategic Regulation Policy in the Internet

Some countries are importers while others are exporters of global backbone connectivity. At the same time, input components such as local access are non-traded. This paper analyzes a non-cooperative regulatory game between importing and exporting countries, assuming that the prices of both traded and non-traded inputs can be regulated. We show that exporting countries choose a more restrictive regulation of non-traded goods than importing countries do. We further show that a requirement of international non-discrimination may hurt importing countries, and give firms producing traded inputs incentives to invest in quality degradation.     

Population uncertainty in contests

Summary. We study contests where the set of players is a random variable. If it is known for certain that there will be at least one participant, then aggregate contest expenditure in equilibrium is strictly lower in a contest with population uncertainty than in a non-uncertain contest with the same expected number of players. This suggests an explanation of, for example, why empirical studies show rent-seeking expenditures to be much lower than predicted by other theories.Received: 29 June 2003, Revised: 14 December 2004, JEL Classification Numbers: C72, D44, D72, D82, K41. Correspondence to: Karl Wärneryd     

Complementarities and costly investment in a growth model

We develop a one-sector growth model whose key aspect is the combination of the assumptions of internal costly investment in capital and complementarities between capital goods in the production function. Despite the nonlinearity generated by these assumptions, the model delivers a single equilibrium.      

Fair play in contests

The aim of this paper is to incorporate fair play norms into the analysis of contests where players have the ability to cheat in order to improve their chances of winning. We propose a utility function integrating fair play norms and apply it to a stylized model of rank-order tournament with cheating. We study how the set of equilibria is affected by the presence of fair play values. These values are shown to have an ambiguous impact on the incentives to cheat so that it may happen that there is more cheating with fair play values than without. We also study the impact of the number of contestants, with results suggesting that fair play norms may be effective in closed tournaments with few competitors (such as, for example, promotions in firms), but not in large-scale tournaments such as worldwide athletic or academic contests.     

Endogenous entry in contests

We report the results of laboratory experiments on rent-seeking contests with endogenous participation. Theory predicts that (a) contest entry and rent-seeking expenditures increase with the size of the prize and (b) earnings are equalized between the contest and the outside option. While the directional predictions offered in (a) are supported in the data, the level predictions are not. Prediction (b) is not supported in the data: when the prize is large, contest participants earn more than the outside option. When the prize is small, contest participants earn less. Previous studies of gender and contest competition suggest that females should (a) not perform as well in the contest; and (b) enter at a lower rate. We find some support for (a) but not for (b). Women participate in the contest at the same rate as men.     

Sabotage in rent-seeking contests

This article considers the interaction between two types ofeffort in lobbying contests: effort that improves the contestant'sown performance (standard rent seeking), and effort that reducesparticular rivals' performance (sabotage). Due to a positiveexternality, sabotage is a 'small number' phenomenon. Sabotagemay increase lobbying efforts and the dissipation rate in lobbyingcontests compared to a situation in which sabotage is not feasible.     

Unfair contests

Real-world contests are often “unfair” in the sense that outperforming all rivals may not be enough to be the winner, because some contestants are favored by the allocation rule, while others are handicapped. This paper analyzes an unfair, two-player discriminatory contest (all-pay auction) with private values. We characterize equilibrium strategies, provide closed form solutions, and illustrate additional strategic issues arising in such unfair contests.     

Rent-seeking versus productive activities in a multi-task experiment

Incentive instruments like asset ownership and performance pay often have to strike a balance between the productive incentives and the rent-seeking incentives they provide. Standard theory predicts that these instruments become less attractive when the effectiveness of rent-seeking activities increases. In contrast, theories that emphasize the importance of reciprocity suggest that this relationship may go the other way around. In this paper we test these predictions by means of a laboratory experiment. By and large our findings confirm standard theory. Incentive instruments typically become less attractive when the scope for rent-seeking activities increases. However, reciprocity motivations do seem to mitigate the adverse effects of rent-seeking opportunities to a considerable extent.     

Strategic thinking in contests

Experimental Economics - We examine motives for ‘overbidding’ in contests between individuals using a “two-headed” approach to decision-making. In “two-headed”...     

Incomplete information in rent-seeking contests

We consider a variant of the Tullock lottery contest. Each player’s constant marginal cost of effort is drawn from a potentially different continuous distribution. In order to study the impact of incomplete information, we compare three informational settings to each other; players are either completely informed, privately informed about their own costs, or ignorant of all cost realizations. For the first and the third setting, we determine the unique pure-strategy Nash equilibrium. Under private information, we prove existence of a pure-strategy Bayesian Nash equilibrium and identify a sufficient condition for uniqueness. Assuming that unit cost distributions all have the same mean, we show that under ignorance of all cost realizations ex ante expected aggregate effort is lower than under both private and complete information. Ex ante expected rent dissipation, however, is higher than in the latter settings if we focus on the standard lottery contest and assume costs are all drawn from the same distribution. Between complete and private information, there is neither a general ranking in terms of effort nor in terms of rent dissipation.     

Prize sharing in collective contests

The characteristics of endogenously determined sharing rules and the group-size paradox are studied in a model of group contest with the following features: (i) The prize has mixed private–public good characteristics. (ii) Groups can differ in marginal cost of effort and their membership size. (iii) In each group the members decide how much effort to put without observing the sharing rules of the other groups. It is shown that endogenous determination of group sharing rules completely eliminates the group-size paradox, i.e. a larger group always attains a higher winning probability than a smaller group, unless the prize is purely private. In addition, an interesting pattern of equilibrium group sharing rules is revealed: The group attaining the lower winning probability is the one choosing the rule giving higher incentives to the members.     

Customer ignorance, price-cap regulation, and rent-seeking in mobile roaming

Mobile phone usage when traveling abroad is expensive. Although the network connection switches frequently between available networks, the choice of network is largely independent of wholesale prices. As a consequence, we show that wholesale prices are strategic substitutes. The recent European price-cap regulation forces firms to reduce wholesale and retail roaming prices, but does not solve the underlying problem. There may thus be a permanent need for regulation analogous to what we have for domestic call termination. Furthermore, we show that there is a risk that wholesale price-cap regulation stimulates wasteful rent-seeking activity.