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on Contract Theory and Applications |
By: | Siwen Liu |
Abstract: | We study a moral hazard problem with adverse selection: a risk-neutral agent can directly control the output distribution and possess private information about the production environment. The principal designs a menu of contracts satisfying limited liability. Deviating from classical models, not only can the principal motivate the agent to exert certain levels of aggregate efforts by designing the "power" of the contracts, but she can also regulate the support of the chosen output distributions by designing the "range" of the contract. We show that it is either optimal for the principal to provide a single full-range contract, or the optimal low-type contract range excludes some high outputs, or the optimal high-type contract range excludes some low outputs. We provide sufficient and necessary conditions on when a single full-range contract is optimal under convex effort functions, and show that this condition is also sufficient with general effort functions. |
Date: | 2025–06 |
URL: | https://d.repec.org/n?u=RePEc:arx:papers:2506.23954 |
By: | Eduardo Azevedo; Ilan Wolff |
Abstract: | The first-order approach (FOA) is the main tool for the moral hazard principal-agent problem. Although many existing results rely on the FOA, its validity has been established only under relatively restrictive assumptions. We demonstrate in examples that the FOA frequently fails when the agent's reservation utility is low (such as in principal-optimal contracts). However, the FOA broadly holds when the agent's reservation utility is at least moderately high (such as in competitive settings where agents receive high rents). Our main theorem formalizes this point. The theorem shows that the FOA is valid in a standard limited liability model when the agent's reservation utility is sufficiently high. The theorem also establishes existence and uniqueness of the optimal contract. We use the theorem to derive tractable optimal contracts across several settings. Under log utility, option contracts are optimal for numerous common output distributions (including Gaussian, exponential, binomial, Gamma, and Laplace). |
Date: | 2025–06 |
URL: | https://d.repec.org/n?u=RePEc:arx:papers:2506.18873 |
By: | Philippe Choné; Laurent Linnemer |
Abstract: | Sellers face a critical choice: run competitive auctions or strike exclusive deals with preferred buyers. Contrary to conventional wisdom that sellers should rely on open competition, we show that a powerful seller optimally commits to a sequential `flexclusivity' arrangement - a strategic mix of exclusivity and competitive bidding. Under broad conditions, the seller chooses with positive probability to disregard alternative buyers entirely. We demonstrate, in a parsimonious model, that simple option contracts implement flexclusivity efficiently, increasing the expected joint profit of the contracting parties. When a preferred buyer declines the option, this credibly signals his weakness, allowing the seller to extract more rent from stronger buyers in subsequent auctions. The joint gain from such arrangements can represent as much as 75% of what vertical integration would achieve, without requiring commitment beyond the initial contracting stage. |
Keywords: | selling mechanism, exclusivity, revenue-maximizing auction, option contract, vertical integration |
JEL: | D44 D82 D86 L22 |
Date: | 2025 |
URL: | https://d.repec.org/n?u=RePEc:ces:ceswps:_12134 |
By: | Hongcheng Li |
Abstract: | This paper studies contracting in the presence of externalities with a non-contractible outsider. Multiple equilibria arise from strategic symmetry between the insider agent and the outsider. To address strategic uncertainty, the principal guarantees their actions in a unique equilibrium. A novel duality approach reformulates her problem as a series of problems in which she selects agent expectations. The key constraint is that the principal cannot convince the agent to expect non-guaranteed response from the outsider. Due to strategic rents, the principal optimally induces attenuated agent incentives. With completely symmetric strategic dependence, her coordination and commitment power become perfect substitutes; in addition, public contracting can strictly decrease her surplus compared to private contracting, in sharp contrast with the case where she ignores robustness. Applications include regulating international competition, platform design, and labor union contracting. |
Date: | 2025–09 |
URL: | https://d.repec.org/n?u=RePEc:arx:papers:2509.06267 |
By: | Son Ku Kim; Seung Joo Lee; Sheridan Titman |
Abstract: | This paper studies the risk choices of a firm run by an effort and risk-averse manager, where the firm’s initial risk exposure is only observed by the manager. By eliminating zero NPV risk, hedging can improve the ability of firms to efficiently induce effort from their manager. We consider conditions under which information asymmetry about risk exposure alters the optimal compensation contract. In some settings, asymmetric information has no effect on the manager’s optimal compensation. However, in other settings, inducing the manager to hedge rather than speculate requires the optimal contract to directly account for hedgeable risk. When inducing the manager to hedge is sufficiently costly, the optimal contract may restrict the use of derivatives. |
JEL: | D81 G3 |
Date: | 2025–09 |
URL: | https://d.repec.org/n?u=RePEc:nbr:nberwo:34211 |
By: | Kohei Daido (Kwansei Gakuin University); Tomoya Tajika (Nihon University) |
Abstract: | We study mechanism design under auditable fairness mandates that constrain only the formal rule while allowing off-record private communication between the principal and agents. We model a two-layer environment: a formal rule that maps agents' reports to outcomes and must satisfy the mandate, and private advice in which the principal can provide type-contingent recommendations. We construct a format-preserving randomized encryption (FPRE): the principal randomizes over symmetry-constrained rules and pairs each realization with ''password''-like advice. Under FPRE, any Bayesian incentive-compatible social choice function (SCF) is implementable by symmetric formal rules; if the SCF is dominant-strategy incentive-compatible (DSIC), the resulting mechanism achieves DSIC. In contrast, constraints that embed predictable structures-such as strict monotonicity and continuity-cannot be neutralized. We also present an approximate version: continuity is compatible with it. Our results highlight a regulatory-scope insight: if auditors can verify only the format of the rule, format-type fairness does not bind, whereas structure-revealing mandates (i.e., strict monotonicity and continuity) hinder the ''encryption'' that sustains obedience to private advice. |
Keywords: | mechanism design, symmetry, fairness, implementation, private communication, randomized encryption, dominant strategies, continuous rules |
JEL: | C72 D82 D86 |
Date: | 2025–09 |
URL: | https://d.repec.org/n?u=RePEc:kgu:wpaper:299 |
By: | \'Angel Hernando-Veciana |
Abstract: | Price benchmarks are used to incorporate market price trends into contracts, but their use can create opportunities for manipulation by parties involved in the contract. This paper examines this issue using a realistic and tractable model inspired by smart contracts on blockchains like Ethereum. In our model, manipulation costs depend on two factors: the magnitude of adjustments to individual prices (variable costs) and the number of prices adjusted (fixed costs). We find that a weighted mean is the optimal benchmark when fixed costs are negligible, while the median is optimal when variable costs are negligible. In cases where both fixed and variable costs are significant, the optimal benchmark can be implemented as a trimmed mean, with the degree of trimming increasing as fixed costs become more important relative to variable costs. Furthermore, we show that the optimal weights for a mean-based benchmark are proportional to the marginal manipulation costs, whereas the median remains optimal without weighting, even when fixed costs differ across prices. |
Date: | 2025–06 |
URL: | https://d.repec.org/n?u=RePEc:arx:papers:2506.22142 |