Revenue Sharing,Competitive Balance and the Contest Success Function

Abstract. This paper investigates revenue sharing in an asymmetric two‐teams contest model of a sports league with Nash behavior of team owners. The innovation of the analysis is that it focuses on the role of the contest success function (CSF). In case of an inelastic talent supply, revenue sharing turns out to worsen competitive balance regardless of the shape of the CSF. For the case of an elastic talent supply, in contrast, the effect of revenue sharing on competitive balance depends on the specification of the CSF. We fully characterize the class of CSFs for which revenue sharing leaves unaltered competitive balance and identify CSFs ensuring that revenue sharing renders the contest closer.     

Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly

The seller of N distinct objects is uncertain about the buyer's valuation for those objects. The seller's problem, to maximize expected revenue, consists of maximizing a linear functional over a convex set of mechanisms. A solution to the seller's problem can always be found in an extreme point of the feasible set. We identify the relevant extreme points and faces of the feasible set. We provide a simple algebraic procedure to determine whether a mechanism is an extreme point. We characterize the mechanisms that maximize revenue for some well-behaved distribution of buyer's valuations.     

Investor protection and income inequality: Risk sharing vs risk taking

This paper studies the relationship between investor protection and income inequality. In the presence of market frictions, better protection makes investors more willing to take on entrepreneurial risk when lending to firms, thereby improving the degree of risk sharing between financiers and entrepreneurs. On the other hand, by increasing risk sharing, investor protection also induces more risk taking. By increasing entrepreneurial risk taking, it raises income dispersion. By reducing the risk faced by entrepreneurs, it reduces income volatility. As a result, the relationship between investor protection and income inequality is non monotonic, since the risk-taking effect dominates at low levels of investor protection, while risk sharing becomes stronger when more risk is taken. Empirical evidence from up to sixty-seven countries spanning the period 1976–2004 supports the predictions of the model.     

Contracts payments for ecosystem services: the case of bio-pospecting

We examine the economics of royalties in bioprospecting contracts between a pharmaceutical and genetic resource supplier (local), with an eye to understanding the relative advantages of indexing royalty payments to gross revenue or net revenue. We show a risk-averse firm facing only production or only cost risks will index royalties to net revenue. When facing both types of risk, the choice of royalty type depends on the relative magnitudes of the production and cost risk. In each case, the risk-averse firm chooses the royalty type that shifts as much risk as possible to the local. When the local is risk neutral, the pharmaceutical's and local's preferences are compatible. If the local is risk averse and there is only one type of risk, it will prefer a gross revenue royalty, and shift as much risk as possible to the firm: here the local and firm preferences are compatible only if the firm is risk-neutral, Lastly, we show if the firm sets the terms of the contract, and both agents are risk averse, the firm will not likely volunteer to implement the socially optimal royalty arrangement as it prefers to shift as much risk to the local, who now also prefers a more certain return. This last outcome is at the heart of the benefit sharing discussion and suggests if risk sharing and equity are a concern in benefit sharing, then the choice of royalty type can be an important part of negotiations between pharmaceuticals and locals for the phytochemical from nature for new drug discovery.     

Surplus extraction with rich type spaces

We characterize revenue maximizing mechanisms in auction settings with ‘rich’ type spaces, where bidders obtain information from sources other than their own valuation. By considering a relaxed problem, we provide an upper bound on revenue extraction that explicitly builds on the richness of the information structure. We provide a condition under which this upper bound is achieved and describe an optimal mechanism. Under this condition, we also show that the optimal revenue can be achieved through dominant strategy implementation.     

First-price sealed-bid auctions when bidders exhibit different attitudes toward risk

When bidders have different risk aversion levels, we determine in a first-price auction, the asymmetric equilibrium strategies. We analyze the impact of asymmetric risk aversion levels on bidders’ markups and on the expected revenue and allocative efficiency of the auction.     

Production and insurance under regret aversion

This paper examines the behavior of a regret-averse producer facing revenue risk. To insure against the revenue risk, the producer can purchase a coinsurance contract with an endogenously chosen coinsurance rate. Regret-averse preferences are characterized by a utility function that includes disutility from having chosen ex-post suboptimal alternatives. We show that the regret-averse producer never fully insures against the revenue risk even though the coinsurance contract is actuarially fair. When the producer is sufficiently regret averse and the loss probability is high, we further show that the regret-averse producer chooses not to purchase the actuarially fair coinsurance contract. Even when purchasing the actuarially fair coinsurance contract is optimal, we derive sufficient conditions under which the regret-averse producer reduces the optimal output level as compared to that without the coinsurance contract. These results are distinct from those under pure risk aversion, thereby making the consideration of regret aversion crucial.     

Bundling as an optimal selling mechanism for a multiple-good monopolist

Multiple objects may be sold by posting a schedule consisting of one price for each possible bundle and permitting the buyer to select the price-bundle pair of his choice. We identify conditions that must be satisfied by any price schedule that maximizes revenue within the class of all such schedules. We then provide conditions under which a price schedule maximizes expected revenue within the class of all incentive compatible and individually rational mechanisms in the n-object case. We use these results to characterize environments, mainly distributions of valuations, where bundling is the optimal mechanism in the two and three good cases.     

Public versus private risk sharing

Can public income insurance through progressive income taxation improve the allocation of risk in an economy where private risk sharing is incomplete? The answer depends crucially on the fundamental friction that limits private risk sharing in the first place. If risk sharing is limited because insurance markets are missing for model-exogenous reasons (as in Bewley (1986) [8]) publicly provided risk sharing improves on the allocation of risk. If instead private insurance markets exist but their use is limited by limited enforcement (as in Kehoe and Levine (1993) [23]) then the provision of public insurance interacts with equilibrium private insurance, as, by providing risk sharing, the government affects the value of exclusion from private insurance markets and thus the enforcement mechanism of these contracts. We characterize consumption allocations in an economy with limited enforcement and a continuum of agents facing plausible income risk and tax systems with various degrees of progressivity (public risk sharing). We provide conditions under which more publicly provided insurance actually reduces total insurance for agents (excess crowding-out), or under which more public insurance increases total insurance (partial crowding-out).     

Greater prudence and greater downside risk aversion

Variation in the degree of downside risk aversion across decision makers has implications for efficient risk sharing. However, except for small differences in risk preferences, there is no index, analogous to the Arrow-Pratt index of risk aversion, that depends only on local properties of the utility function and indicates the degree of aversion to downside risk. A measure that does depend only on local properties of the utility function u, the index of prudence p=−u^?/u^″, is related to downside risk aversion, which is indicated by a positive value for u^?. Although we show that the degree of prudence is not an accurate indicator of the degree of downside risk aversion, we nonetheless demonstrate that a uniform increase in prudence accompanied by a uniform increase (decrease) in risk aversion is sufficient to indicate greater downside risk aversion, provided prudence is greater (less) than three times the degree of risk aversion.     

Mutual supervision in preshipment inspection programs

Preshipment inspection (PSI) programmes are implemented in many developing countries to assist governments in the collection of revenue at their borders. These programs consist of the delegation of the inspection of imports to a private firm. To study these PSI programmes, we develop a hierarchical agency model in which the government authority can rely on two supervisors, namely the private inspection firm and the customs administration, to control importers' declarations. The government's optimal contract is fully characterized. We devote some attention to the inspection policy and its comparative statics properties. In particular, we identify the situations in which PSI programmes are revenue enhancing. We also discuss the reconciliation policy, i.e. what to do in case of conflicting inspection reports by the inspection firm and the customs administration. In the optimal mechanism, mutual supervision between the inspection firm and the customs administration is used to provide adequate incentives to all parties.     

Almost common values auctions revisited

In almost common-value auctions one bidder (the advantaged bidder) has a valuation advantage over all other (regular) bidders. It is well known that in second-price auctions with two bidders, even a slight private-value advantage can have an explosive effect on auction outcomes as the advantaged bidder wins all the time and auction revenue is substantially lower than in a pure second-price common-value auction. We explore the robustness of these results to the addition of more regular bidders in second-price auctions, and the extent to which these results generalize to ascending-price English auctions in an effort to provide insight into when and why one ought to be concerned about such slight asymmetries.     

EXPORT AND HEDGING DECISIONS UNDER CORRELATED REVENUE AND EXCHANGE RATE RISK

This paper examines the behaviour of a competitive exporting firm under joint revenue and exchange rate risk. The firm can trade unbiased currency futures contracts for hedging purposes. We show that neither the separation theorem nor the full‐hedging theorem holds when the revenue shock prevails. If the correlation between the revenue shock and the random spot exchange rate is non‐positive, the firm optimally produces less than the benchmark level when the revenue shock is absent. If, in addition, the firm is prudent, the optimal futures position is an under‐hedge. Finally, we derive sufficient conditions under which the firm's optimal output level is higher in the presence than in the absence of the revenue shock. Operational hedging and financial hedging as such interact in a complicated way to better cope with the multiple sources of uncertainty faced by the firm.     

Risk sharing and industrial specialization in China

We investigate how risk sharing shapes industrial specialization across prefecture-level cities in China. By unbundling the mechanisms of risk sharing, we find that ex ante risk sharing generates a first-order stimulant effect on the geographical concentration of manufacturing industries, particularly for non-state-owned enterprises and cyclical industries. Ex post risk sharing matters only for state-owned enterprises. This result remains robust to instrument variable estimation and controlling for other determinants of industrial specialization. Finally, we show that interregional labor migration (special fiscal transfers) plays an important role in promoting interregional ex ante (ex post) risk sharing. The study implies that much more risk sharing and efficiency gains from industrial specialization would be achieved if capital markets and credit markets are better developed.     

Revenue Sharing and Information Exchange under Non‐discriminatory Taxation*

The international exchange of tax information, and its merits compared to withholding taxation, has emerged as a central topic in international tax policy. We characterize and compare the outcomes that emerge, in a two‐country world, with and without information exchange, under the assumption that countries are unable to tax residents and non‐residents differentially. The analysis focuses on the role of asymmetries in country size (capturing a key feature of tax havens) and on the impact and potential desirability of schemes to share the revenue raised by withholding (as under the new EU savings tax arrangements) or (more innovatively) as a consequence of information exchange. We show that, irrespective of any difference in country size, it is in the interests of both countries, in terms of tax revenue, that all revenue collected from non‐residents be transferred to the residence country—which would entail taking the EU practice even further from the norm, but is currently the standard in relation to information exchange. A withholding scheme with revenue fully reallocated in this way gives both countries more revenue than does information sharing, whatever the allocation under the latter.     

THE REVENUE‐SHARING RULE FOR INTERCONNECTION CHARGES*

In this paper we explore the economic principle behind the revenue‐sharing rule for interconnection charges. Our main finding is that symmetric firms can collude by splitting the revenues equally. We further characterize the optimal revenue‐sharing ratio and discuss the relationship between optimal ratio and the optimal access price. We also show that the revenue‐sharing rule can have the perverse effect of inducing a firm to raise its own costs in order to gain a higher share of revenues.     

Sealed bid auctions with ambiguity: Theory and experiments

This study presents a laboratory experiment of the first and second price sealed bid auctions with independent private values, where the distribution of bidder valuations may be unknown. In our experimental setting, in first price auctions, bids are lower with the presence of ambiguity. This result is consistent with ambiguity loving in a model that allows for different ambiguity attitudes. We also find that the first price auction generates significantly higher revenue than the second price auction with and without ambiguity.     

An ordinal Shapley value for economic environments

We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is defined recursively, incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for transferable utility (TU) games. We show a solution exists, and call it the ordinal Shapley value (OSV). We characterize the OSV using the notion of coalitional dividends, and furthermore show it is monotone and anonymous.     

International risk sharing during the globalization era

Abstract. Though financial globalization should improve international risk sharing, empirical support is lacking. We develop a simple welfare‐based measure that captures how far countries are from the ideal of perfect risk sharing. Applying it to data, we find some evidence that international risk sharing has improved during globalization. Improved risk sharing comes mostly from the convergence in rates of consumption growth among countries rather than from synchronization of consumption at the business cycle frequency.     

Contract Choice: Efficiency and Fairness in Revenue‐Sharing Contracts

We present a simple principal–agent experiment in which the principals are allowed to choose between a revenue‐sharing, a bonus, and a trust contract, to offer to an agent. Our findings suggest that a large majority of experimental subjects choose the revenue‐sharing contract. This choice turns out to be not only the most efficient but also, at the same time, fair. Overall, the distribution of earnings is only mildly skewed towards the principal. We conclude that, under revenue‐sharing contracts, concerns for fairness can be closely associated with the use of monetary incentives.