Lotteries vs. All‐Pay Auctions in Fair and Biased Contests

The form of contests for a single fixed prize can be determined by a designer who maximizes the contestants' efforts. This article establishes that, under common knowledge of the two asymmetric contestants' prize valuations, a fair Tullock‐type endogenously determined lottery is always superior to an all‐pay‐auction; it yields larger expected efforts (revenues) for the contest designer. If the contest can be unfair (structural discrimination is allowed), then the designer's payoff under the optimal lottery is equal to his expected payoff under the optimal all‐pay auction.     

War and peace: Third-party intervention in conflict

This paper develops a simple sequential-move game to characterize the endogeneity of third-party intervention in conflict. We show how a third party's “intervention technology” interacts with the canonical “conflict technologies” of two rival parties in affecting the sub-game perfect Nash equilibrium outcome. From the perspective of deterrence strategy, we find that it is more costly for a third party to support an ally to deter a challenger from attacking (i.e., to maintain peace or acquiescence), as compared to the alternative case when the third party supports the ally to gain a disputed territory by attacking (i.e., to create war), ceteris paribus. However, an optimally intervening third party can be either “peace-making”, “peace-breaking”, or neither depending on the characteristics of the conflict and the stakes the third party holds with each of the rival parties.     

Endogenous Alleviation of Overreaction Problem by Aggregate Information Announcement

It is well‐known that agents overreact to public information in markets characterized by strategic complementarities. We propose a simple and implementable method of alleviating the overreaction problem. Extending the beauty‐contest game of Morris and Shin to a multi‐region economy, we show that, under an aggregate information announcement, each agent converts purely public information into imperfect public information endogenously. This makes the agents’ beliefs dispersed and alleviates the overreaction problem. Moreover, we compare the welfare effect of the aggregate information announcement with that of a separate announcement. We find that there exist plausible situations where the aggregate information announcement is better than the separate information announcement despite reduced quality.     

Hybrid Contests

This paper examines hybrid contests where participants commit two types of resources to improve their probability of winning the prize. The first type is forfeited ex ante, before the prize is allocated, by winners and losers alike, while the second is committed ex ante by all contenders but expended ex post, after the prize is allocated, and only by the contestant that wins the prize. The model yields a number of interesting results. Among them is the finding that, as the number of contestants increases, the ex ante expenditures of individual contestants decrease while the ex post expenditure increases. Even more interesting, the total of the ex ante and ex post expenditures by the contenders in a hybrid contest may decrease with the number of competitors. The study also finds that there is no rent overdissipation, and compares the total expenditures in the contest and “all‐pay” allocation mechanisms.     

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.     

The Important Thing Is Not (Always) Winning but Taking Part: Funding Public Goods with Contests

This paper considers a public good game with heterogeneous endowments and incomplete information affected by extreme free riding. I overcome this problem through the implementation of a deterministic contest in which several prizes may be awarded. I identify a monotone equilibrium, in which the contribution is strictly increasing in the endowment. I prove that it is optimal for the social planner to set the last prize equal to zero, but otherwise total expected contribution is invariant to the prize structure. Finally, I show that private provision via a contest Pareto‐dominates public provision and is higher than the total contribution raised through a lottery.     

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.     

The optimal multi-stage contest

This paper investigates the optimal (effort-maximizing) structure of multi-stage sequential-elimination contests. We allow the contest organizer to design the contest structure using two instruments: contest sequence (the number of stages, and the number of contestants remaining after each stage), and prize allocation. When the contest technology is sufficiently noisy, we find that multi-stage contests elicit more effort than single-stage contests. For concave and moderately convex impact functions, the contest organizer should allocate the entire prize purse to a single final prize, regardless of the contest sequence. Additional stages always increase total effort. Therefore, the optimal contest eliminates one contestant at each stage until the finale when a single winner obtains the entire prize purse. Our results thus rationalize various forms of multi-stage contests that are conducted in the real world.     

Poverty Dynamics,Violent Conflict,and Convergence in Rwanda

This paper analyzes the poverty impact of the violent events that affected Rwanda in the 1990s. The main objective of the paper is to identify systematically potential mechanisms linking violent conflict with changes in poverty across provinces and households in Rwanda before and after a decade of violence. In accordance with emerging literature on the long‐term economic effects of violent conflict, we find empirical evidence for economic convergence between richer and poorer Rwandan provinces and households following the conflict shocks. Using a small but unique panel of households surveyed before and after the conflict period, we find that households whose house was destroyed or who lost land ran a higher risk of falling into poverty. We do not find much evidence for an economic effect of violent deaths at the household level due to substitution effects of labor within the household. Non‐violent deaths however seem to increase income per adult equivalent for the survivors. Results are shown to be robust to sample selection and IV models.     

From Custer to Thermopylae: Last stand behavior in multi-stage contests

In a multi-stage contest known as a two-player race, players display two fundamental behaviors: (1) the laggard will make a last stand in order to avoid the cost of losing; and (2) the player who is ahead will defend his lead if it is threatened. Last stand behavior, in particular, contrasts with previous research where the underdog simply gives up. The distinctive results are achieved by introducing losing penalties and discounting into the racing environment. This framework permits the momentum effect, typically ascribed to the winner of early stages, to be more thoroughly examined. I study the likelihood that the underdog will catch up. I find that neck-and-neck races are common when the losing penalty is large relative to the winning prize, while landslide victories occur when the prize is relatively large. Closed-form solutions are given for the case where players have a common winning prize and losing penalty.     

Economic Diplomacy

We study bilateral conflicts that affect the welfare of third parties, the stakeholders. The conflict takes the form of a war of attrition and intervention is modeled as the possibility that the stakeholder “aids” the agreement with transfers to the contenders. We characterize the optimal policy when the stakeholder limits its intervention to a unilateral commitment to compensate the contenders if the conflict is resolved, and show that if contenders must be treated equally after agreement, then the optimal policy cannot eliminate the delay in resolving the conflict, and intervention is only advisable when the stakes are high enough. Economic diplomacy is modeled as a three‐player game where the stakeholder is actively involved in the negotiation where transfers are discussed simultaneously with a settlement for the conflict. We prove that, provided that none of the parties involved is too impatient, diplomacy benefits the third party in all conflicts.     

Bilateral war in a multilateral world: carrots and sticks for conflict resolution

Abstract.  This paper constructs a three-country, specific-factor, trade-theoretic model in which two of the countries are in conflict and where war effort is determined endogenously in a Nash equilibrium. The third country does not take part in the war, but trades with the warring countries. In the framework, we examine, inter alia, how war and welfare are affected by globalization and by two instruments available to the third country – one carrot and one stick. Our overall conclusion is that the third parties do have the incentives for, and can play an effective role in, conflict resolution. JEL classification: F02, F11, H56, H77     

Endogenous group formation in experimental contests

We experimentally study endogenous alliance formation and contest effort choices in a generic three-player contest. Differences in intrinsic or extrinsic incentives to expend effort cause self-selection. Weakly motivated players have an incentive to enter into an alliance and to free-ride on strongly motivated players; hence, strong players prefer to stand alone. Self-selection has direct consequences for effort in endogenously formed alliances. But we also find evidence of an effort stimulating effect if players endogenously form an alliance, which is in line with theories of in-group favoritism. The experimental evidence on self-selection is in conformity with a theory analysis of the game.     

Existence and Uniqueness of Nash Equilibrium in Electoral Competition Games: The Hybrid Case

This paper analyzes the traditional unidimensional, two‐party electoral competition game when parties have mixed motivations, in the sense that they are interested in winning the election, but also in the policy implemented after the contest. In spite of having discontinuous payoffs, this game, referred to as the hybrid election game, is shown to be payoff secure and reciprocally upper semi‐continuous. Conditional payoffs, however, are not quasi‐concave. Hence, the existence of a pure strategy Nash equilibrium (psne ) is ensured only if parties have homogenous interests in power. In that case, an equilibrium not only exists, but it is also unique. Instead, if parties have heterogeneous motivations, depending upon the relationship between the electoral uncertainty, the aggregate opportunism, and its distribution across parties, a psne may or may not exist. The mixed extension, however, is always better reply secure. Therefore, a mixed strategy Nash equilibrium does indeed exist.     

THE EFFECT OF WELFARE ASSET RULES ON AUTO OWNERSHIP,EMPLOYMENT, AND WELFARE PARTICIPATION: A LONGITUDINAL ANALYSIS

This paper investigates how asset tests for welfare eligibility affect auto ownership, employment, and welfare participation for single mothers without a college degree. We combine longitudinal data from the 1996 Survey of Income and Program Participation with data on state‐level welfare program rules from the Urban Institute and data on state‐level controls to test whether these single mothers were more likely to (1) own a car, (2) be employed, and (3) be off of welfare, depending on the welfare asset rules instituted in their state. We find evidence that, taken as a group, the asset rules have a statistically significant effect on the probability of car ownership. Ordinary least squares results and cross‐sectional two‐stage least squares (2SLS) results using the asset rules to instrument for car ownership show a large, positive, statistically significant effect of car ownership on employment. However, in 2SLS models controlling for prior car ownership and prior employment, the asset instruments are weaker and we do not find an effect of car ownership on employment. Of significance for policy makers, we find that the asset rules do not have a statistically significant joint effect on welfare participation, even after addressing possible endogeneity. (JEL I38, J68, J08)     

Appropriation,Formal and Informal Sectors,and Efficient Endowment Distribution

By adding an informal sector whose output is not subject to appropriative interactions and assuming complementarity in the inputs for market production, this paper investigates how possible asymmetries in conflict affect the allocation of resources. It is shown that when the existing gap in relative appropriative skills is being closed, more resources are allocated to appropriative activities in the economy. We are, in this case, more likely to see a reduction in market activities but an increase in home activities. A poorer party is a natural producer rather than a natural fighter, which is the usual characterization of a less endowed party in the conflict analysis. By conducting a welfare analysis, this paper shows that a market-output-maximizing initial distribution of resources endowment is such that when one party has a comparative advantage in market production over appropriation, its initial fraction of total resource endowment should be greater than its relative productivity in market production.     

Social Conflict and Gradual Political Succession: An Illustrative Model*

This paper studies the evolution of political institutions in the face of conflict. We examine institutional reform in a class of pivotal mechanisms—institutions that behave as if the resulting policy were determined by a “pivotal” decision maker drawn from the potential population of citizens and who holds full policy‐making authority at the time. A rule‐of‐succession describes the process by which pivotal decision makers in period t + 1 are, themselves, chosen by pivotal decision makers in period t. Two sources of conflict—class conflict, arising from differences in wealth, and ideological conflict, arising from differences in preferences—are examined. In each case, we characterize the unique Markov‐perfect equilibrium of the associated dynamic political game, and show that public decision‐making authority evolves monotonically downward in wealth and upward in ideological predisposition toward the public good. We then examine rules‐of‐succession when ideology and wealth exhibit correlation.     

Regional Inequality and Internal Conflict

This paper studies the influence of regional inequality within countries on internal conflicts. Regional inequalities are measured by the population‐weighted coefficient of variation of regional GDP per capita. As the main innovation, I use a panel dataset of country‐level regional inequalities, which covers 56 countries (835 subnational regions) between 1980 and 2009. I also consider a broader cross section dataset for the year 2005, which covers 110 countries (1569 subnational regions). Conflict is measured by the incidence of civil war (UCDP/PRIO data) and a risk measure of internal conflict (war, terrorism and riots) provided by the PRS Group's International Country Risk Guide. Logit estimations are employed as well as OLS fixed effects panel regressions. I find that regional inequalities increase the risk of internal conflict.     

Dynamic Difference‐Form Contests

This study presents a multistage contest designed by an organizer who chooses the (indivisible) winner prize together with the ranking scheme. When the organizer's objective is to maximize efforts, the optimal ranking scheme that selects the prize recipient coincides with a version of the piecewise linear difference‐form success function postulated by Che and Gale (2000). Even if the organizer's objective is not necessarily to maximize agents' effort, a noisy ranking of the difference‐form remains optimal.     

On the Existence and Uniqueness of Pure-Strategy Nash Equilibrium in Asymmetric Rent-Seeking Contests

There can be three types of heterogeneity among players in a rent‐seeking contest. First, effectiveness of player's effort on the winning probabilities may differ among players. Secondly, players may evaluate the rent or prize of the rent‐seeking contest differently. Thirdly, players may face different financial constraints. This article proves under standard assumptions in the literature that there exists a unique pure‐strategy Nash equilibrium in a general asymmetric rent‐seeking contest with these three types of heterogeneity among players.