Pareto improving financial innovation in incomplete markets

Summary. In this paper we develop a differential technique for investigating the welfare effects of financial innovation in incomplete markets. Utilizing this technique, and after parametrizing the standard competitive, pure-exchange economy by both endowments and utility functions, we establish the following (weakly) generic property: Let S be the number of states, I be the number of assets and H be the number of households, and consider a particular financial equilibrium. Then, provided that the degree of market incompleteness is sufficiently larger than the extent of household heterogeneity, S−I≥2H−1 [resp. S−I≥H+1], there is an open set of single assets [resp. pairs of assets] whose introduction can make every household better off (and, symmetrically, an open set of single assets [resp. pairs of assets] whose introduction can make them all worse off ). We also devise a very simple nonparametric procedure for reducing extensive household heterogeneity to manageable size, a procedure which not only makes our restrictions on market incompleteness more palatable, but could also prove to be quite useful in other applications involving smooth analysis. Received: August 14, 1995; revised version: April 14, 1997     

Matching auction with winner’s curse and imperfect financial markets

This paper explains how and why the Matching Auctions work better with Imperfect Financial Markets. We show that an efficient outsider can obtain a “good” project even if the insider has informational advantage.     

Dynamic risk-sharing with two-sided moral hazard

A group of risk-averse agents repeatedly produce a perishable consumption good; individual outputs are observable but efforts are not. The contracting problem admits a recursive formulation, and the optimal value function is the fixed point of a contraction mapping. When the agents can be punished to the full extent in a single period, every continuation contract of an optimal contract is itself optimal; the marginal utility ratio between one agent and another is a submartingale. The results imply that it is in general important to restrict an agent whose moral hazard constraint is binding from saving through another agent within the risk-sharing group. Limited commitment and long-run implications of optimal contracting are also examined.     

The tradeoff between risk sharing and information production in financial markets

The production of information in financial markets is limited by the extent of risk sharing. The wider a stock's investor base, the smaller the risk borne by each shareholder and the less valuable information. A firm which expands its investor base without raising capital affects its information environment through three channels: (i) it induces incumbent shareholders to reduce their research effort as a result of improved risk sharing, (ii) it attracts potentially informed investors, and (iii) it may modify the composition of the base in terms of risk tolerance or liquidity trading. Implications for individual firms and the market as a whole are derived.     

Unique equilibrium in rent-seeking contests with a continuum of types

It is shown that rent-seeking contests with continuous and independent type distributions possess a unique pure-strategy Nash equilibrium.     

Coordination and bargaining power in contracting with externalities

Building on Genicot and Ray [G. Genicot, D. Ray, Contracts and externalities: How things fall apart, J. Econ. Theory 131 (2006) 71-100] we develop a model of non-cooperative bargaining that combines the two main approaches in the literature of contracting with externalities: the offer game (in which the principal makes simultaneous offers to the agents) and the bidding game (in which the agents make simultaneous offers to the principal). Allowing for agent coordination, we show that the outcome of our bargaining procedure may differ remarkably from those of the offer and the bidding games. In particular, we find that bargaining can break agents' coordination and that the principal's payoff can be decreasing in his own bargaining power.     

Search and endogenous concentration of liquidity in asset markets

We develop a search-based model of asset trading, in which investors of different horizons can invest in two assets with identical payoffs. The asset markets are partially segmented: buyers can search for only one asset, but can decide which one. We show the existence of a “clientele’’ equilibrium where all short-horizon investors search for the same asset. This asset has more buyers and sellers, lower search times, and trades at a higher price relative to its identical-payoff counterpart. The clientele equilibrium dominates the one where all investor types split equally across assets, implying that the concentration of liquidity is socially desirable.     

An equilibrium analysis of information aggregation and fluctuations in markets with discrete decisions

This paper shows how the interaction between decentralized information gathering and discreteness of investment decisions at the individual level can generate random fluctuations in aggregate investment that involve occasionally large allocation errors. This interaction is illustrated in a model in which private information is costly to acquire and prices reveal information. The unique rational expectations equilibrium outcome of the model is shown to always be noisy and characterized by investment levels which may be high simply because uninformed investors are buying under the impression that the high price is a signal of good investment opportunities.     

Monitoring a common agent: Implications for financial contracting

Multiple principals want to obtain income from a privately informed agent and design their contracts non-cooperatively. The degree of coordination between principals shapes the contracts and affects the amount of monitoring. Equity-like contracts and excessive monitoring emerge when principals coordinate or verify each other's monitoring efforts. When this is not possible, free riding weakens monitoring incentives, so that flat payments, debt-like contracts, and very low levels of monitoring appear. Free riding may be so strong to induce even less monitoring than if the principals cooperated with each other; that is, non-cooperative monitoring does not necessarily lead to excessive monitoring.     

Large market games with demand uncertainty

We consider a market game with a continuum of consumers, where the measure of each type is stochastic. Nature selects the set of active consumers, who make bids and offers on ?−1 spot market trading posts. Existence of type-symmetric Nash equilibrium is proven. When facing price uncertainty, best responses are unique, and a Nash equilibrium to the sell-all game is typically not a Nash equilibrium to the original game. Under plausible circumstances, consumers strictly prefer to be on one side of the market.     

Coordination and delay in global games

What is the effect of offering agents an option to delay their choices in a global coordination game? We address this question by considering a canonical binary action global game, and allowing players to delay their irreversible decisions. Those that delay have access to accurate private information at the second stage, but receive lower payoffs. We show that, as noise vanishes, as long as the benefit to taking the risky action early is greater than the benefit of taking the risky action late, the introduction of the option to delay reduces the incidence of coordination failure in equilibrium relative to the standard case where all agents must choose their actions at the same time. We outline the welfare implications of this finding, and probe the robustness of our results from a variety of angles.     

A two-person game of information transmission

We consider a statistical decision problem faced by a two player organization whose members may not agree on outcome evaluations and prior probabilities. One player is specialized in gathering information and transmitting it to the other, who takes the decision. This process is modeled as a game. Qualitative properties of the equilibria are analyzed. The impact of improving the quality of available information on the equilibrium welfares of the two individuals is studied. Better information generally may not improve welfare. We give conditions under which it will.     

Paradoxical price effects on insurance markets

In this paper we analyze a paradox phenomenon in certain insurance markets of some countries: in spite of there being strong competition, increasing prices can be found in some submarkets. As a reason for this, we need to note the special distribution of insurance products, a distribution primarily based on intermediaries — and, as a result, there is an increasing part for ‘intermediation’ costs within insurance products' cost structure due to competition for the intermediaries. We build an oligopolistic model assuming that the market is saturated, which is able to explain the overemployment of intermediaries and the high commissions involved. We analyze possible interventions and laws/regulations and suggest that the problem can be solved only with major regulation. Finally, we have come up with an empirical analysis to test the model.     

A note on cheap talk and burned money

Austen-Smith and Banks [Cheap talk and burned money, J. Econ. Theory 91(1) (2000) 1-16] study how money burning can expand the set of pure cheap talk equilibria of Crawford and Sobel [Strategic information transmission, Econometrica 50(6) (1982) 1431-1451]. I identify an error in the main Theorem of Austen-Smith and Banks, and provide a variant that preserves some of the important implications. I also prove that cheap talk can be influential with money burning if and only if it can be influential without money burning. This strengthens a result of Austen-Smith and Banks, but uncovers other errors in their analysis. Finally, an open conjecture of theirs is proved correct.     

Observable restrictions of general equilibrium models with financial markets

This paper examines whether general equilibrium models of exchange economies with incomplete financial markets impose restrictions on prices of commodities and assets given the stochastic processes of dividends and aggregate endowments. We show that the assumption of time-separable expected utility implies restriction on the cross-section of asset prices as well as on spot commodity prices. However, a relaxation of the assumption of time separability will generally destroy these restriction.     

Adverse selection in credit markets and regressive profit taxation

In many countries, taxes on businesses are less progressive than labor income taxes. This paper provides a justification for this pattern based on adverse selection that entrepreneurs face in credit markets. Individuals choose between becoming entrepreneurs or workers and differ in their skill in both of these occupations. I find that endogenous cross-subsidization in the credit market equilibrium results in excessive (insufficient) entry of low-skilled (high-skilled) agents into entrepreneurship. This gives rise to a corrective role for differential taxation of entrepreneurial profits and labor income. In particular, a profit tax that is regressive relative to taxes on labor income restores the efficient occupational choice.     

Trembling-hand myopia and trembling-hand perfection

In 1975 Selten introduced trembling-hand perfection, however it was implicitly assumed that specific values of rationality imperfections are common knowledge. Relaxing this assumption, we develop the notion of trembling-hand myopia, and completely characterize equilibria which are robust in this setting.     

Decision-making in competitive framings—Strategic behavior of chess players in mini-ultimatum game chess puzzles

We introduce a competitive framing in the mini-ultimatum game utilizing chess puzzles. Therein, our chess playing participants accept low offers significantly more often compared to a neutral framing. We conclude that in familiar competitive surroundings egoistic behavior is more acceptable.     

Credit layering in informal financial markets

Informal lenders with access to markets or capital often find it attractive to delegate loan provision to downstream lenders who have an information or enforcement advantage in dealing with particular borrowers. In this paper we examine the conditions under which such an arrangement is preferred by two informal lenders, a landlord and a merchant, who compete in loan provision to tenant farmers differentiated by wealth. We show that credit layering is preferred only when tenants are sufficiently poor. In this case, the trader lends to tenant farmers via a contract with their landlord. Otherwise, only the trader lends. As a consequence, a pattern of borrowing emerges in which relatively wealthy tenants borrow from merchants while poor tenants borrow mainly from their landlords. Interlinkage between land and credit thus arises only for a subset of tenants and purely as a consequence of credit layering. This pattern is shown to be supported empirically.