Budget Balancedness and Optimal Income Taxation

We make two contributions to the theory of optimal income taxation. First, assuming conditions sufficient for existence of a Pareto optimal income tax and public goods mechanism, we show that if agents' preferences satisfy an extended notion of single crossing called capacity constrained single crossing, then there exists a Pareto optimal income tax and public goods mechanism that is budget balancing. Second, we show that, even without capacity constrained single crossing, existence of a budget balancing Pareto optimal income tax and public goods mechanism is guaranteed if the set of agent types contains no atoms.     

Optimal private good allocation: The case for a balanced budget

In an independent private value auction environment, we are interested in strategy-proof mechanisms that maximize the agents' residual surplus, that is, the utility derived from the physical allocation minus transfers accruing to an external entity. We find that, under the assumption of an increasing hazard rate of type distributions, an optimal deterministic mechanism never extracts any net payments from the agents, that is, it will be budget-balanced. Specifically, optimal mechanisms have a simple “posted price” or “option” form. In the bilateral trade environment, we obtain optimality of posted price mechanisms without any assumption on type distributions.     

Robustness of simple menus of contracts in cost-based procurement

We consider a model of cost-based procurement in which the principal faces Knightian uncertainty about the agent's preferences for cost reduction. We show that a particularly simple incentive scheme—a menu comprising a fixed-price contract and a cost-reimbursement contract—minimizes the maximum expected payment, where this maximum is taken over the set of possible agent preferences. For some parameters of the problem, a range of alternative incentive schemes also satisfy this criterion. We show that the simple incentive scheme is not weakly dominated by any of the alternatives: there does not exist an alternative mechanism for which the expected payment is no higher for all realizations of the agent's preferences and strictly lower for some realization.     

Endogenous Persistent Occupations and Inequality

The paper argues that human capital is the leading force determining inequality persistence. We show that, in a context of a perfect capital market where agents inherit human capital and wealth, it is the inherited human capital level that determines agents' occupational choice and investment. The critical assumption is that the entrepreneurial activity is of increasing returns to scale. This creates a higher profile of revenue for entrepreneurs. Although every agent can choose to become an entrepreneur, and although there is no barrier of entry in entrepreneurship, only those who receive a relatively higher human capital will do so. Agents whose inherited human capital is lower than the human capital threshold, endogenously determined, are better off becoming workers. Even in the context of a perfect capital market, which allows less endowed agents to borrow and invest in education, it turns out that the agents who inherit a low level of human capital bear a greater utility cost in their education investment. So they are better off investing less in education, lending their savings, and working as workers. As a result, agents' occupational choice depends on the intergenerational transmission of human capital. In the long run, the population is polarized into the rich entrepreneurs and the poor workers, magnifying inequality persistence in human capital level and revenue.     

How do Heterogeneous Beliefs Influence Asset Volatility?

We investigate the influence of heterogeneous beliefs on asset volatility when agents' degrees of confidence differ. With a continuous‐time model subsuming agent's heterogeneous beliefs in the expected increase in dividends, a stock price formula is derived. Based on this formula, the stock volatility is computed via Monte Carlo simulation. The results show that the influence of belief heterogeneity in expectation on volatility depends on the confident agents' level of optimism. Empirical results are also provided.     

Premium auctions and risk preferences: An experimental study

In premium auctions, the highest losing bidder receives a reward from the seller. This paper studies the private value English premium auction (EPA) for different risk attitudes of bidders. We explicitly derive the symmetric equilibrium for bidders with CARA utilities and conduct an experimental study to test the theoretical predictions. In our experiment, subjects are sorted into risk-averse and risk-loving groups. We find that revenues in the EPA are significantly higher when bidders are risk loving rather than risk averse. These results are partly consistent with theory and confirm the general view that bidders' risk preferences constitute an important factor that affects bidding behavior and consequently also the seller's expected revenue. However, individual subjects rarely follow the equilibrium strategy and revenue in our experiment is lower than in the symmetric equilibrium.     

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.     

Existence of a continuum of equilibria in a monetary random-matching model

In this paper, we study a monetary random-matching model where both goods and money are perfectly divisible, production is costly, and there is no exogenous upper bound on agents' money holdings, information on which is private to the agent. We show that there is a continuum of stationary equilibria where agents have either no money or a set amount, and buyers spend all their money. As in the previous studies, the equilibrium value function is step-like, which emerges as a self-fulfilling prophecy. The endogenous upper bound on agents' money holdings is the result of private information on agents' money holdings. Buyers post an offer that is accepted only by sellers without money, who set a higher value on money.     

Optimal mechanism design with resale via bargaining

In this paper, we examine the optimal mechanism design of selling an indivisible object to one regular buyer and one publicly known buyer, where inter-buyer resale cannot be prohibited. The resale market is modeled as a stochastic ultimatum bargaining game between the two buyers. We fully characterize an optimal mechanism under general conditions. Surprisingly, in this optimal mechanism, the seller never allocates the object to the regular buyer regardless of his bargaining power in the resale market. The seller sells only to the publicly known buyer, and reveals no additional information to the resale market. The possibility of resale causes the seller to sometimes hold back the object, which under our setup is never optimal if resale is prohibited. We find that the seller?s revenue is increasing in the publicly known buyer?s bargaining power in the resale market. When the publicly known buyer has full bargaining power, Myerson?s optimal revenue is achieved; when the publicly known buyer has no bargaining power, a conditionally efficient mechanism prevails.     

How Should the Allocation of Resources Adjust to the Baby Bust?

We analyze the impact of a drop in fertility on the optimal allocation of resources in an overlapping generations economy where old workers care about leisure. We also characterize optimal dynamics and study the decentralization of the optimum by means of inter‐generational transfers and/or public debt. We conclude that the policy recommendations of postponing retirement is fragile and depend on preferences and technologies. Also, even when the optimal adjustment of public debt goes into the expected direction in the long run—i.e., public debt should decrease—this may not be the case during the transition.     

Private Information in the BBV Model of Public Goods

To analyze the private provision of a public good in the presence of private information, we explore the connections between two frameworks: the binary public good model with threshold uncertainty and the standard continuous model à la Bergstrom et al. Linearity of best responses in others' contributions is key to matching the two frameworks. We identify all utility functions that display this linearity, and we provide conditions ensuring that the minimal properties that Bergstrom et al. require for utilities are satisfied. Using techniques developed in the threshold uncertainty framework, we show existence and uniqueness of the Bayes‐Nash equilibrium—thus generalizing existing results—and we analyze its comparative statics properties. In particular, under the reasonable assumption that agents' income is stochastic and private information, we complement the full‐information crowding‐out and redistribution results of Bergstrom et al. If the government taxes agents' income proportionally and redistributes (expected) revenues lump sum, equilibrium public good provision can increase or decrease, even if the set of contributors is unchanged. Similarly, we show that crowding‐out can be one‐for‐one, less than one‐for‐one, or more than one‐for‐one. Finally, we extend our results to a multidimensional framework in which agents' unit costs of contributions are also private information.     

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.     

Stochastic mechanisms in settings without monetary transfers: The regular case

We analyze relative performance of stochastic and deterministic mechanisms in an environment that has been extensively studied in the literature on communication (e.g., [Vincent P. Crawford, Joel Sobel, Strategic information transmission, Econometrica 50 (6) (1982) 1431-1451]) and optimal delegation (e.g., [Bengt Holmström, On the theory of delegation, in: M. Boyer, R.E. Kihlstrom (Eds.), Bayesian Models in Economic Theory, North-Holland, 1984, pp. 115-141]): a principal-agent model with hidden information, no monetary transfers, and single-peaked preferences. We demonstrate that under the common assumption of quadratic payoffs and a certain regularity condition on the distribution of private information and the agent's bias, the optimal mechanism is deterministic. We also provide an explicit characterization of this mechanism.     

Income Taxation with Labor Responses

When incomes are exogenously given, U. Jakobsson ( Journal of Public Economics s 5 (1976), 161–168) proved that a progressive tax structure always reduces inequality. We investigate the implications for effective progression of relaxing the assumption of exogenous incomes when individuals have the same preferences but different talents. We extend the standard result and conclude that it is generally impossible to disentangle the respective contributions to inequality reduction of the tax schedule and agents' preferences. For a linear tax schedule to result in less unequally distributed incomes it is sufficient that the elasticity of labor supply be nonincreasing in exogenous income and nondecreasing in productivities. The latter condition proves to be necessary and sufficient when the tax schedule is proportional.     

The determination of public tuition fees in a mixed education system: A majority voting model

We study the determination of public tuition fees through majority voting in a vertical differentiation model where agents' returns on educational investment differ and public and private universities coexist and compete in tuition fees. The private university offers higher educational quality than its competitor, incurring higher unit cost per trained student. The tuition fee for the state university is fixed by majority voting while that for the private follows from profit maximization. Then agents choose to train at the public university or the private one or to remain uneducated. The tax per head adjusts in order to balance the state budget. Because there is a private alternative, preferences for education are not single‐peaked and no single‐crossing condition holds. An equilibrium is shown to exist, which is one of three types: high tuition fee (the “ends” are a majority), low tuition fee (the “middle” is a majority), or mixed (votes tie). The cost structure determines which equilibrium obtains. The equilibrium tuition is either greater (majority at the ends) or smaller (majority at the middle) than the optimal one.     

Asymptotic Revenue Equivalence in Auctions

We study the revenue in auctions of a single object when the number of bidders becomes large. We show that all sequences of auctions belonging to a class of mechanisms have limiting expected revenue equal to the expected best-use value of the object. An important special case that is covered is common value auctions, but more generally not even affiliation of values is assumed. This provides an asymptotic revenue equivalence result for settings beyond that of private values. Journal of Economic Literature Classification Numbers: D44, C72.     

Taxation of firms with unknown mobility

We analyze optimal business tax policy when some firms are able to escape taxation by moving abroad. In contrast to the existing literature, we assume that the true number of mobile firms is ex ante unknown. While the government may learn from the firms' location responses to past tax rate changes, firms may anticipate this and adjust their choices accordingly. We find that incomplete information on mobility substantially affects the properties and the implications of equilibrium policy choices. First, the government may find it optimal to set a tax rate that triggers partial firm migration but full revelation of the true number of mobile firms. Second, we show that, if the firms' outside option is attractive (i.e., relocation cost and foreign tax rates are low), expected tax rates and expected firm migration are higher if the degree of mobility is unknown. Third, there is a positive value of learning, i.e., commitment on future tax rates cannot increase the government's expected revenue. However, if the government can commit to a rule‐based learning mechanism, i.e., credibly tie its future tax policy to present policy outcomes, it may obtain a Pareto improvement.     

Do risk and competition trigger conditional cooperation? Evidence from public good experiments

We investigate the effect of intra-group competition and risk marginal per capita returns on subjects' cooperative behavior in a one-shot public good game—following the well-known approach proposed by Fischbacher, Gächter, and Fehr (2001) and extending the Colasante et al. (2018, 2019) parametrization. We study the interaction between environment and social preferences and test the existence of a causal relationship of risk and competition over cooperative behavior when an individual's benefit of the public good is heterogeneous and uncertain. Our results report experimental evidence about competition fostering cooperative behavior leading to a rise in contribution for all the subjects regardless of their social preferences. However, risk has a detrimental effect on cooperative behavior due to encouraging free riding.