The paper studies outside finance in a model of two-dimensional moral hazard, involving risk choices as well as effort choices. If the entrepreneur has insufficient funds, a first-best outcome cannot be implemented. Second-best outcomes involve greater failure risk than first-best outcomes. For a Cobb-Douglas technology, second-best effort and investment levels are smaller than first-best; for other technologies, the comparison depends on the elasticity of substitution. If firm returns are not too noisy as signals of behaviour, the optimal incentive scheme corresponds to some mix of debt and equity finance. If firm returns are too noisy, this interpretation is not available.

This paper develops a technique for studying incentive problems with unidimensional hidden characteristics in a way that is independent of whether the type set is finite, the type distribution has a continuous density, or the type distribution has both mass points and an atomless part. By this technique, the proposition that optimal incentive schemes induce no distortion “at the top” and downward distortions “below the top” is extended to arbitrary type distributions. However, mass points in the interior of the type set require pooling with adjacent higher types and, unless there are other complications, a discontinuous jump in the transition from adjacent lower types.

For a nonexcludable public good with benefit and cost functions independent of the number of participants, this paper studies second-best allocations under Bayesian interim incentive compatibility and interim individual rationality. As the number of participants becomes large, second-best provision levels converge in distribution to first-best levels if the latter are bounded. Second-best provision levels become large in absolute terms but small relative to first-best levels if benefit and cost functions are isoelastic. In contrast, for an excludable public good, the ratio of second-best to first-best levels is bounded away from zero. Copyright The Review of Economic Studies Limited, 2003.

[The paper analyzes borrowing and lending on uncertain future income, with a positive probability of bankruptcy. Creditor and debtor play a strategic game, in which it is shown that optimal creditor behavior is not generally well defined. The model suggests that under uncertainty the availability of credit may be restricted below that which would be predicted by classical microeconomic theory.]

The relation between perfectly competitive and monopolistically competitive equilibria is analysed for a Bertrand-Edgeworth model of a single market in which capacity constrained firms choose prices as strategies. The market always has a Nash equilibrium in pure or mixed strategies. As the number of firms increases, the corresponding equilibria converge in distribution to a perfectly competitive price. This result provides a justification for perfect competition that is based on an explicit account of price formation. However, monopoly prices persist with a positive but vanishing probability. Regularity or well defined inverse demand functions are not required.

In a simple model of borrowing and lending with asymmetric information we show that the optimal, incentive-compatible debt contract is the standard debt contract. The second-best level of investment never exceeds the first-best and is strictly less when there is a positive probability of costly bankruptcy. We also compare the second-best with the results of interest-rate-taking behaviour and consider the effects of risk aversion. Finally we provide conditions under which increasing the borrower's initial net wealth must reduce total investment in the venture.

Duncan K. Foley, Martin F. Hellwig; Asset Management with Trading Uncertainty12, The Review of Economic Studies, Volume 42, Issue 3, 1 July 1975, Pages 327

This paper studies the relation between discrete–time and continuous–time principal–agent models. We derive the continuous–time model as a limit of discrete–time models with ever shorter periods and show that optimal incentive schemes in the discrete–time models approximate the optimal incentive scheme in the continuous model, which is linear in accounts. Under the additional assumption that the principal observes only cumulative total profits at the end and the agent can destroy profits unnoticed, an incentive scheme that is linear in total profits is shown to be approximately optimal in the discrete–time model when the length of the period is small.

Firms’ inability to commit to future funding choices has profound consequences for capital structure dynamics. With debt in place, shareholders pervasively resist leverage reductions no matter how much such reductions may enhance firm value. Shareholders would instead choose to increase leverage even if the new debt is junior and would reduce firm value. These asymmetric forces in leverage adjustments, which we call the leverage ratchet effect, cause equilibrium leverage outcomes to be history-dependent. If forced to reduce leverage, shareholders are biased toward selling assets relative to potentially more efficient alternatives such as pure recapitalizations.

ABSTRACT Firms’ inability to commit to future funding choices has profound consequences for capital structure dynamics. With debt in place, shareholders pervasively resist leverage reductions no matter how much such reductions may enhance firm value. Shareholders would instead choose to increase leverage even if the new debt is junior and would reduce firm value. These asymmetric forces in leverage adjustments, which we call the leverage ratchet effect , cause equilibrium leverage outcomes to be history‐dependent. If forced to reduce leverage, shareholders are biased toward selling assets relative to potentially more efficient alternatives such as pure recapitalizations.