A coalition proof equilibrium for a private information credit economy

Summary This paper examines an economy in which agents with private information about their own productive capabilities seek to raise capital to fund their investment projects. We employ an equilibrium concept which is closely related to Coalition Proof Nash Equilibrium. In equilibrium, all agents who succeed in raising capital (entrepreneurs) are pooled; they all receive the same contract or consumption schedule. Entrepreneurs, however, are separated from those who fail to raise capital. This separation results in productive efficiency for the economy. If the economy has no viable alternative investment opportunity (other than agents' projects) then equilibrium allocations can be supported by a (non-intermediated) securities market. If there is a viable alternative, the equilibrium allocations cannot be supported by a securities market equilibrium. We interpret this case as suggesting the emergence of financial intermedary coalitions.     

Entrepreneurship,Financiership, and Selection*

We develop an equilibrium model of the market for entrepreneurial finance, in which all agents have some personal wealth and a project whose quality is their private information. All agents choose whether to invest either as entrepreneurs or financiers, or to invest in storage technology. We find that a binding economy‐level wealth constraint, which renders credit scarce, can create advantageous selection, where productive agents become entrepreneurs and unproductive agents become their financiers. If funding is easier to obtain, entrepreneurship also attracts unproductive agents. In our model, individual wealth and entrepreneurship are positively (negatively) correlated if financial market participation is complete (incomplete).     

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.     

区域创业比较:基于江苏样本企业的实证研究

本文基于江苏创业活动的问卷调研数据,从区域社会资本差异、区域创业能力差异、区域创业战略差异、区域创业主体差异4个方面进行定量比较。比较发现:苏南苏北地区创业者的社会资本结构存在显著差异,不同社会资本类别对创业与创业发展的重要度也不一样,而且苏南地区创业者社会资本的冗余高于苏北地区,但在社会资本的利用方式上差异不明显。苏南地区的区域创业能力稍好于苏北,但均只处于中等水平。苏南苏北地区在创业方式、创业行业、创业规模与市场定位层面均存在有明显差异,苏南地区创业者更多的选择了独立创业,在行业上更多的进入了服务性行业,新创企业的规模整体上小于苏北,而且更多的定位于国内市场。从创业主体属性差异比较看,苏南创业者中女性比例高于苏北,创业者平均年龄低于苏北,平均受教育水平明显高于苏北,异地创业者所占比例明显高于苏北。     

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.     

Entrepreneurial talent, occupational choice, and trickle up policies

We study market inefficiencies and policy remedies when agents choose their occupations, and entrepreneurial talent is subject to private information. Untalented entrepreneurs depress the returns to entrepreneurship because of adverse selection. The severity of this problem depends on the outside option of entrepreneurs, which is working for wages. This links credit, product and labor markets. A rise in wages reduces the adverse selection problem. These multimarket interactions amplify productivity shocks and may generate multiple equilibria. If it is impossible to screen entrepreneurs then all agents unanimously support a tax on entrepreneurs that drives out the less talented ones. However, if screening is possible, e.g., if wealthy entrepreneurs can provide collateral for their loans, then wealthy entrepreneurs do not support surplus enhancing taxes.     

The political economy of redistribution under democracy

We ask what redistributions of income and assets are feasible in a democracy, given the initial assets and their distribution. The question is motivated by the possibility that if redistribution is insufficient for the poor or excessive for the rich, they may turn against democracy. In turn, if no redistribution simultaneously satisfies the poor and the wealthy, democracy cannot be sustained. Hence, the corollary question concerns the conditions under which democracy is sustainable. We find that democracies survive in wealthy societies. Conditional on the initial income distribution and the capacity of the poor and the wealthy to overthrow democracy, each country has a threshold of capital stock above which democracy survives. This threshold is lower when the distribution of initial endowments is more equal and when the revolutionary prowess of these groups is lower. Yet in poor unequal countries there exist no redistribution scheme which would be accepted both by the poor and the wealthy. Hence, democracy cannot survive. As endowments increase, redistribution schemes that satisfy both the poor and the wealthy emerge. Moreover, as capital stock grows the wealthy tolerate more and the poor less redistribution, so that the set of feasible redistributions becomes larger. Since the median voter prefers one such scheme to the dictatorship of either group, democracy survives.We would like to thank, Daron Acemoglu, Marco Basetto, Alberto Bisin, V.V. Chari, Pat Kehoe, Onur Ozgur for very useful comments.     

Oligopoly equilibria in exchange economies: a limit theorem

In a pure exchange economy, agents have the possibility of behaving strategically by putting only a part of their initial endowments on the market. An oligopoly equilibrium is defined to be a Nash equilibrium of the game in which agents choose simultaneously quantities to be put on the market. It is proved that under standard hypotheses, the oligopoly equilibrium leads to the competitive equilibrium when the economy is replicated an infinite number of times. Received: May 26, 1999; revised version: April 3, 2000     

Occupational Choice and Dynamic Incentives

We study an overlapping generations version of the principal-agent problem, where incentive contracts are determined in general equilibrium. All individuals are workers when young, but have a choice between becoming entrepreneurs or remaining workers when old. Imperfections in the credit market give rise to rents in entrepreneurial activities involving capital. These rents motivate poor young agents to work hard and save to overcome the borrowing constraints. With a labour market that is subject to moral hazard, the increased effort raises social welfare. Policies that reduce credit market imperfections, or redistribute income, may reduce welfare by dampening this effect.     

Redistribution, Fiscal Competition, and the Politics of Economic Integration

The paper examines the consequences of the economic integration of factor markets in a model with two countries that redistribute income among their residents. The social benefits in each country are financed by a source based tax on capital which is democratically chosen by its inhabitants. If either capital or labour is internationally mobile, the countries engage in fiscal competition and the partial integration of capital or labour markets is detrimental to the countries' redistributive ability. A move from partial to full integration, however, may alleviate rather than intensify fiscal competition, particularly, if the two countries face sufficiently similar economic and political conditions. In such a situation, for example, tax competition for mobile capital is softened as the labour market becomes more integrated and even vanishes if both factors are fully mobile. As a result, there is more redistribution in equilibrium and a majority of the population in each country is strictly better off.     

Regular Distributive Efficiency and the Distributive Liberal Social Contract

We consider abstract social systems of private property, made of n individuals endowed with nonpaternalistic interdependent preferences, who interact through exchanges on competitive markets and Pareto‐improving lump‐sum transfers. The transfers follow from a distributive liberal social contract defined as a redistribution of initial endowments such that the resulting market equilibrium allocation is both: (i) a distributive optimum (i.e., is Pareto‐efficient relative to individual interdependent preferences) and (ii) unanimously weakly preferred to the initial market equilibrium. We elicit minimal conditions for meaningful social contract redistribution in this setup, namely, the weighted sums of individual interdependent utility functions, built from arbitrary positive weights, have suitable properties of nonsatiation and inequality aversion; individuals have diverging views on redistribution, in some suitable sense, at (inclusive) distributive optima; and the initial market equilibrium is not a distributive optimum. We show that the relative interior of the set of social contract allocations is then a simply connected smooth manifold of dimension n ? 1. We also show that the distributive liberal social contract rules out transfer paradoxes in Arrow–Debreu social systems. We show, finally, that the liberal social contract yields a norm of collective action for the optimal provision of any pure public good.     

Efficient contract enforcement

We study how the efficient choice of contract enforcement interacts with the efficient allocation of capital in a simple production economy. Contract enforcement makes trade possible but requires an aggregate investment of capital that is no longer available for production. In such an economy, more dispersion in ex-ante marginal products makes it optimal to invest more resources in enforcement. Furthermore, implementing the optimal allocation requires a specific distribution of the cost for enforcement across agents that is not monotonic and results in a redistribution of endowments. At the efficient solution, agents at the bottom of the endowment distribution benefit the most from investment in enforcement and these investments lead to a reduction in consumption and income inequality.     

Bayesian–Walrasian equilibria: beyond the rational expectations equilibrium

In general rational expectations equilibrium (REE), as introduced in Radner (Econometrica 47:655–678, 1978) in an Arrow–Debreu–McKenzie setting with uncertainty, does not exist. Moreover, it fails to be fully Pareto optimal and incentive compatible and is also not implementable as a perfect Bayesian equilibrium of an extensive form game (Glycopantis et al. in Econ Theory 26:765–791, 2005). The lack of all the above properties is mainly due to the fact that the agents are supposed to predict the equilibrium market clearing price (as agent’s expected maximized utility is conditioned on the information that equilibrium prices reveal), which leads inevitably to the presumption that agents know all the primitives in the economy, i.e., random initial endowments, random utility functions and private information sets. To get around this problematic equilibrium notion, we introduce a new concept called Bayesian–Walrasian equilibrium (BWE) which has Bayesian features. In particular, agents try to predict the market-clearing prices using Bayesian updating and evaluate their consumption in terms of Bayesian price estimates, which are different for each individual. In this framework agents maximize expected utility conditioned on their own private information about the state of nature, subject to a Bayesian estimated budget constraint. Market clearing is not an intrinsic part of the definition of BWE. However, both in the case of perfect foresight and in the case of symmetric information BWE leads to a statewise market clearing; it then becomes an ex post Walrasian equilibrium allocation. This new BWE exists under standard assumptions, in contrast to the REE. In particular, we show that our new BWE exists in the well-known example in Kreps (J Econ Theory 14:32–43, 1977), where REE fails to exist. This work was done in the Spring of 2005, when EJB was a visiting professor at the University of Illinois.     

Financial markets,the structure of long-term investments and labour income risks

The paper develops a model to analyse the feedback between financial markets, long-term capital investments and the risk of labour incomes. We study a situation where firms are owned by entrepreneurs, who are able to share and diversify their income risk by trading on financial markets. Workers, in contrast, cannot short-sell the flows from future labour endowments and thus do not have the same opportunities. We derive two central results. Firstly, even if financial markets offer perfect risk-sharing opportunities for entrepreneurs, the participation restriction for labour incomes leads to a constrained inefficient market allocation. The constrained inefficiency arises because the effect of long-term investments on the risk of wages is not internalized by state prices. Secondly, we show that in general it is not true that workers indirectly benefit when we go from a situation with no financial markets to a situation with perfect financial markets for entrepreneurs but restricted participation for workers. The results suggest that a policy solution might require either to close some financial markets or to create new ones. We argue why there is a strong case for the creation of new markets rather than for closing existing ones.     

Information Revelation and Market Incompleteness

This paper introduces a theory of market incompleteness based on the information transmission role of prices and its adverse impact on the provision of insurance in financial markets. We analyse a simple security design model in which the number and payoff of securities are endogenous. Agents have rational expectations and differ in information, endowments, and attitudes toward risk. When markets are incomplete, equilibrium prices are typically partially revealing, while full relevation is attained with complete markets. The optimality of complete or incomplete markets depends on whether the adverse selection effect (the unwillingness of agents to trade risks when they are informationally disadvantaged) is stronger or weaker than the Hirshleifer effect (the impossibility of trading risks that have already been resolved), as new securities are issued and prices reveal more information. When the Hirshleifer effect dominates, an incomplete set of securities is preferred by all agents, and generates a higher volume of trade.     

Linear exchange economies with a continuum of agents

The purpose of this paper is to study how the equilibrium prices vary with respect to the initial endowments in a linear exchange economy with a continuum of agents. We first state the model and give conditions of an increasing strength for existence, uniqueness and continuity of equilibrium prices. Then, if we restrict ourselves to economies with essentially bounded initial endowments and if we assume that there is, from the point of view of preferences, only a finite number of types of agents, we show that, on an open dense subset of the space of initial endowments, the equilibrium price vector is an infinitely differentiable function of the initial endowments. The proof of this claim is based on a formula allowing to compute the equilibrium price vector around a so-called “regular” endowment where it is known.     

Economic versus political symmetry and the welfare concern with market integration and tax competition

The paper studies the implications of increased capital market integration and the associated increased tax competition for world welfare. We consider a population with heterogeneous endowments of capital in a model of redistributive politics. We show that if countries have the same average capital endowments but differ with respect to the endowments of their decisive majority, autarky may be socially preferred to integration under any aversion to inequality. We then reverse the conclusion by assuming that the decisive majority has the same endowment but countries differ in their average capital endowments. In proving these results we show that integration may decrease world output and increase the utility of the poorest members of the economy.     

Initial endowments and economic reform in 27 post-socialist countries

This study explores how initial endowments at the start of transition have shaped reform outcomes and reform trajectories in 27 former communist countries in Europe and Central Asia. Countries of the former Russian Empire that had a large resources sector at the start of transition underperformed other countries in terms of the speed and the depth of economic reforms. The effect is particularly strong for privatization, enterprise restructuring and competition policy. Within country, Ottoman or Russian provinces that had a large natural resources sector in 1989 have a lower share of entrepreneurs and of small and medium sized enterprises today and also experience endemic corruption. Our results indicate that the propensity, or ability, of special interest groups to capture the reform process that would erode their rents were facilitated by the quality of institutions whose foundations go back centuries; and that the effects on the local economy are real.     

Increasing returns,entrepreneurship and imperfect competition

We study a simple bilateral oligopoly model in which individual agents, who are initially endowed with capital, decide sequentially (1) whether they want to act as producers (entrepreneurs) or as capital lenders (rentiers) and, then (2) which quantity of capital they would like to borrow or lend, though exchange of capital units against units of the produced good. Production takes place under increasing returns to scale. We show the existence of “natural equilibria”, at which wealthier capital owners become entrepreneurs while the remaining ones decide to be rentiers. We also study the efficiency of equilibria which is shown to increase by replication of the economy, but sometimes to decrease as a consequence of wealth redistribution.We thank an anonymous referee for his insightful comments     

Factor mobility and fiscal policy in the EU: policy issues and analytical approaches

Increased integration of labour and capital markets creates significant challenges for the welfare states of modern Europe. Taxation of capital and labour that finances extensive programmes of cash and in-kind redistribution creates incentives for capital owners and workers to locate in regions where they obtain favourable fiscal treatment. Competition among countries for mobile resources constrains their ability to alter the distribution of income and may lead to reductions in the size and scope of redistributive policies. Mobility of labour and capital is imperfect, however. Recent trends indicate that labour and capital are neither perfectly mobile nor perfectly immobile, but rather adjust gradually to market conditions and economic policies. This paper presents an explicitly dynamic analysis showing that governments can achieve some redistribution when it is costly for factors of production to relocate. As the costs of factor mobility fall, however, the effectiveness of redistributive policies is more limited, and governments have weaker incentives to pursue them. Liberalized immigration policies, EU enlargement, and other steps that promote integration of the factors markets of Western Europe with those of surrounding regions thus present a challenge to policy-makers if they also wish to maintain fiscal systems with extensive redistribution.