Conditional utility

Summary The motivation for this paper starts out with a decision situation under risk where the decision-maker has to choose among various lottery tickets. We will ask what happens to a person's lottery choice if he is given additional information in terms of probabilities on some states of nature which might affect his choice among lottery tickets. In other words, in evaluating his decision situation, a person should not only consider the probability of a certain prospect to be realized but also the problem how and to which extent some state(s) of nature modify the utility of this prospect. This problem has not been dealt with in Bernoullian utility theory.We state several conditions which are necessary and sufficient to treat conditional utility as Bernoullian utility. Then we show as a main result that it is possible to represent expected utility of decision acts (in Savage's terminology) by conditional expected utility of prospects which preserves well-known properties of expected utility with the exception of linearity.We give a potential application of the notion of conditional utility to the estimation of the value of information as a residual value of prior and posterior utility.     

Corporate Lobbying, Regulatory Conduct and the Porter Hypothesis

Michael Porter, the influential Harvard management guru, has promoted the idea that compliance with stricter environmental regulations can afford secondary benefits to firms through improved product design, innovation, corporate morale and in other ways. Once these secondary benefits are factored, the net cost of compliance is argued to be lower than conventionally thought and may even be negative. Whilst environmental economists have rejected the Porter Hypothesis as being based on excessively optimistic expectations of the likely size of such secondary benefits the underlying ideas do enjoy significant credence in the business community. In the context of a lobbying model of regulatory policy-making we argue that the EPA should change the way it conducts regulatory policy to take account of Porter's views – even if it knows those views to be misguided. The model serves to illustrate the more general point that fashions in management thinking can be expected to impact the optimal conduct of regulatory policy.     

The Regulation of Private Schools Serving Low-Income Families in Andhra Pradesh,India

This paper sets out some findings of a research project carried out in private unaided schools in low-income areas of Hyderabad, India. The part of the research project documented here was designed to examine the question: Is the regulatory regime conducive to entrepreneurial action and market discovery with particular reference to the low-income schools in Hyderabad. This paper is narrowly focused, setting out the results of pattern matching empirical data with the Austrian economic concepts of entrepreneurship, rivalry, and market discovery. The research discovered that two regulatory regimes exist, one that is set out on paper in the Education Acts and associated rules, and another that operates in practice. That is, there is a combination of regulations on paper and regulations existing in an extra-legal sector. Generally it was found that the regulations in practice are consistent with market principles. Conversely the regulations set out on paper are not conducive to entrepreneurial innovation and market discovery. Recommendations for potential policy initiatives include the possibility of legitimising the extra-legal sector by introducing self-regulation possibly via self-evaluation systems for the private unaided schools.     

Information processing for a finite resource allocation mechanism

Summary deal with an organization havingm individual agents (the agents) and one central agent or agency (the coordinator), and the problem of allocating a fixed supply ofn commodities among the agents. The coordinator wishes to distribute the commodities in such a way as to maximize an objective function whose arguments are functions known (implicitly) to the individual agents, but not to the coordinator. The more information the coordinator obtains about the individual agents' functions, the better the allocation decision he or she can make; however, gaining such information is costly, so that the coordinator must balance the potential gain against the cost of acquiring additional information. We find a satisficing solution to this problem which is computable and which terminates in a finite number of steps.We would like to thank Leo Hurwicz, Ken Matheny, Shailendra Mehta, Bill Novshek, Roy Radner, Stan Reiter, Vernon Smith, Mark Walker, and, especially, John Ledyard and Tom Marschak, for helpful comments and suggestions. We must, of course, however reluctantly, accept responsibility for any remaining defects.     

Anonymous sequential games: Existence and characterization of equilibria

Summary In this paper we consider Anonymous Sequential Games with Aggregate Uncertainty. We prove existence of equilibrium when there is a general state space representing aggregate uncertainty. When the economy is stationary and the underlying process governing aggregate uncertainty Markov, we provide Markov representations of the equilibria.Table of notation Agents' characteristics space ( ) - A Action space of each agent (aA) - Y Y = x A - Aggregate distribution on agents' characteristics - (X) Space of probability measures onX - C(X) Space of continuous functions onX - _X Family of Borel sets ofX - State space of aggregate uncertainty ( ) - x _t=1 aggregate uncertainty for the infinite game - = (₁,₂,...,_t,...) - ^{t t} (₁, ₂,..., _t) - L₁(^t,C ×A),v _t Normed space of measurable functions from ^t toC( x A) - 8o(^t,( x A)) Space of measurable functions from ^tto( x A) - X^t X^t= x _s=1 ^t X - _X ^t Borel field onX ^t - v Distribution on - v_t Marginal distribution of v on ^t - v(^t)((¦^t)) Conditional distribution on given ^t - v^t(^s)(v_t(¦^s)) Conditional distribution on ^t given ^s (wheres) - _t Periodt distributional strategy - Distributional strategy for all periods =(₁,₂,...,_t,...) - _t Transition process for agents' types - ( _t,^t,y)(P _t+1(, _t , ^t ,y)) Transition function associated with _t - u _t Utility function - V _t (, a, , ^t) Value function for each collection (, a, , ^t ) - W _t (, , ^t ) Value function given optimal action a - C() Consistency correspondence. Distributions consistent with and characteristics transition functions - B() Best response correspondence (which also satisfy consistency) - E Set of equilibrium distributional strategies - x _t=1 ( ^t , (x A)) - S Expanded state space for Markov construction - (, a, ) Value function for Markov construction - P( _t ^* , _t y)(P(, _t ^* , _t , _y )) Invariant characteristics transition function for Markov game We wish to acknowledge very helpful conversations with C. d'Aspremont, B. Lipman, A. McLennan and J-F. Mertens. The financial support of the SSHRCC and the ARC at Queen's University is gratefully acknowledged. This paper was begun while the first author visited CORE. The financial support of CORE and the excellent research environment is gratefully acknowledged. The usual disclaimer applies.     

Biological Adaptation in Human Societies: a ‘Basic Needs’ Approach

The groundzero premise (so to speak) of the biological sciences is that survival and reproduction is the basic, continuing, inescapable problem for all living organisms; life is at bottom a survival enterprise. It follows that survival is the paradigmatic problem for human societies as well; it is a prerequisite for any other, more exalted objectives. Although the term adaptation is also familiar to social scientists, until recently it has been used only selectively, and often very imprecisely. Here a more rigorous and systematic approach to the concept of adaptation is proposed in terms of basic needs. The concept of basic human needs has a venerable history – tracing back at least to Plato and Aristotle. Yet the development of a formal theory of basic needs has lagged far behind. The reason is that the concept of objective, measurable needs is inconsistent with the theoretical assumptions that have dominated economic and social theory for most of this century, namely, valuerelativism and cultural determinism. Nevertheless, there have been a number of efforts over the past 30 years to develop more universalistic criteria for basic needs, both for use in monitoring social wellbeing (social indicators) and for public policy formulation. Here I will advance a strictly biological approach to perationalizing the concept of basic needs. It is argued that much of our economic and social life (and the motivations behind our revealed preferences and subjective utility assessments), not to mention the actions of modern governments, are either directly or indirectly related to the meeting of our basic survival needs. Furthermore, these needs can be specified to a first approximation and supported empirically to varying degrees, with the obvious caveat that there are major individual and contextual variations in their application. Equally important, complex human societies generate an array of instrumental needs which, as the term implies, serve as intermediaries between our primary needs and the specific economic, cultural and political contexts within which these needs must be satisfied. An explicit framework of Survival Indicators, including a profile of Personal Fitness and an aggregate index of Population Fitness, is briefly elucidated. Finally, it is suggested that a basic needs paradigm could provide an analytical tool (a biologic) for examining more closely the relationship between our social, economic and political behaviors and institutions and their survival consequences, as well as providing a predictive tool of some value.     

Information Cascades in the Labor Market

A model of herding behavior in the labor market is presented where employers receive signals with limited precision about the workers types, and can observe previous employers decisions. Both the employer and the worker can influence the signal probabilities. In particular, the employer tries to increase the precision of the signal about the workers type whereas the worker wants to get a good signal, independent of her type. In a two-period model, we derive conditions for an equilibrium in which only down-cascades occur, i.e., the second employer does not hire a worker with a bad history even if he receives a favorable private signal about the workers type, but he follows his own signal if the workers history is good.     

Equilibria and Pareto optima of markets with adverse selection

Summary This paper examines the efficiency properties of competitive equilibrium in an economy with adverse selection. The agents (firms and households) in this economy exchange contracts, which specify all the relevant aspects of their interaction. Markets are assumed to be complete, in the sense that all possible contracts can, in principle, be traded. Since prices are specified as part of the contract, they cannot be used as free parameters to equate supply and demand in the market for the contract. Instead, equilibrium is achieved by adjusting the probability of trade. If the contract space is sufficiently rich, it can be shown that rationing will not be observed in equilibrium. A further refinement of equilibrium is proposed, restricting agents' beliefs about contracts that are not traded in equilibrium. Incentive-efficient and constrained incentive-efficient allocations are defined to be solutions to appropriately specified mechanism design problems. Constrained incentive efficiency is an artificial construction, obtained by adding the constraint that all contracts yield the same rate of return to firms. Using this notion, analogues of the fundamental theorems of welfare economics can be proved: all refined equilibria are constrained incentive-efficient and all constrained incentive-efficient allocations satisfying some additional conditions can be decentralized as refined equilibria. A constrained incentive-efficient equilibrium is typically not incentive-efficient, however. The source of the inefficiency is the equilibrium condition that forces all firms to earn the same rate of return on each contract.Notation ={ ₁,..., _k } set of outcomes - : ₊ generic contract or lottery - A = () ; - A_o A{, where denotes the null contract or no trade - S={1,...,¦S¦} set of seller types - L(s) number of type-s sellers - M number of buyers - u: × S seller's utility function, which can be extended toA× S by puttingu(, s) ; - v. × S buyer's utility function, which can be extended toA × S by puttingv(, s) ; - f:A ₀ ×S ₊ allocation of sellers - g:A ₀ ×S ₊ allocation of buyers - A ₊ sellers' trading function - :A ×S ₊ buyers' trading function This paper has had a long gestation period, during which I have been influenced by helpful conversations with many persons, by their work, or both. Among those who deserve special mention are Martin Hellwig, Roger Myerson, Edward Prescott, Robert Townsend and Yves Younés. Earlier versions were presented to the NBER/CEME Conference on Decentralization at the University of Toronto and the NBER Conference on General Equilibrium at Brown University. I would like to thank John Geanakoplos, Walter Heller, Andreu Mas Colell, Michael Peters, Michel Poitevin, Lloyd Shapley, John Wooders, Nicholas Yannelis and an anonymous referee for their helpful comments and especially Robert Rosenthal for his careful reading of two drafts. The financial support of the National Science Foundation under Grant No. 912202 is gratefully acknowledged.     

Institutional Evolution through Purposeful Selection: The Constitutional Economics of John R. Commons

The paper relates John. R. Commons view on the roleof human design in institutional evolution to the views thathave been advanced on this matter by F. A. Hayek, in German ordo-liberalism,and in constitutional political economy. It is argued that Commonsconcept of purposeful selection points in the direction ofa theoretical perspective that consistently integrates the notionsof institutional evolution and constitutional design.     

EU Widening and Deepening – Are these goals reconcilable?

The paper examines the compatibility between widening the EU and deepening its integration endeavors, with special emphasis on eastward enlargement. After clarifying the broad nature of the accession negotiations under way, it sketches the most critical obstacles encountered in forging ahead with EU deepening, the problems posed by the ongoing restructuring of the accession candidates, and how deepening and widening necessarily interact. Before concluding with an aside on the relationship between the accession process and the EU's designs on assisting southeastern Europe, the paper briefly reviews where the negotiations stand in mid-2001 and elaborates on what may be in store for the enlargement process in the near term.The opinions expressed here are mine and do not necessarily reflect my employer's.     

From “tax state” to “debt state”

The paper is motivated by Joseph A. Schumpeter's The Crisis of the Tax State. It inquires whether the buildup of government debt in peacetimeprosperity is a threat to the stability, existence or creation of viable tax states. The paper begins by setting out Schumpeter's conception of the tax state and the nature of recent political-economic events which have reinvigorated the concept. Next the paper sets out some simple debt dynamics and sketches a debt-induced business cycle arising from heavy reliance on debt finance in peacetimeprosperity. Finally, the paper assesses threats to the tax state in light of recent work on path dependence and positive feedback. An attempt is made to throw some light on whether the plethora of new, and often small, states spawned by the demise of communism can be viable tax states.Essay on Government, the Tax State and Economic Dynamics submitted to the Third Schumpeter Prize Competition.     

On the generic nonconvergence of Bayesian actions and beliefs

Summary SupposeY _n is a sequence of i.i.d. random variables taking values in Y, a complete, separable, non-finite metric space. The probability law indexed by, is unknown to a Bayesian statistician with prior, observing this process. Generalizing Freedman [8], we show that generically (i.e., for a residual family of (,) pairs) the posterior beliefs do not weakly converge to a point-mass at the true. Furthermore, for every open setG , generically, the Bayesian will attach probability arbitrarily close to one toG infinitely often. The above result is applied to a two-armed bandit problem with geometric discounting where armk yields an outcome in a complete, separable metric spaceY _k. If the infimum of the possible rewards from playing armk is less than the infimum from playing armk', then armk is (generically) chosen only finitely often. If the infimum of the rewards are equal, then both arms are played infinitely often.     

The measurement of entry rates: Recondiseration and resolution

This paper extends the recent analysis of Audretsch and Fritsch on entry rates, and suggests a resolution to the possible policy confusion which they discuss. British data also show very different results for the determinants of entry depending on whether the ecological or labour market entry rate is used. It is shown that, in addition to the static, size-distribution effect discussed by Audretsch and Fritsch, there are dynamic factors at work which may lead to this result. However, there need be no conflict in policy signals arising from this, because the labour market approach can be shown to be a superior measure of entry rates where spatial analysis is undertaken.     

Hot vs. Cold: Sequential Responses and Preference Stability in Experimental Games

In experiments with two-person sequential games we analyze whether responses to favorable and unfavorable actions depend on the elicitation procedure. In our hot treatment the second player responds to the first player's observed action while in our cold treatment we follow the strategy method and have the second player decide on a contingent action for each and every possible first player move, without first observing this move. Our analysis centers on the degree to which subjects deviate from the maximization of their pecuniary rewards, as a response to others' actions. Our results show no difference in behavior between the two treatments. We also find evidence of the stability of subjects' preferences with respect to their behavior over time and to the consistency of their choices as first and second mover.     

Measuring the severity of unemployment

A social-welfare (illfare) function framework is applied to compare two demographic groups as to the severity of their unemployment experience. This is based on the assumption that for each individual the disutility of unemployment is an increasing and convex function of spell length. The very concept of spell length and its distribution, however, is not unambiguous. In contrast to previous literature which focuses exclusively on the interrupted spell length in a stock of unemployed, we stress the usefulness of the concept of complete spell length in a cohort of unemployed. We establish an equivalence relationship between second-degree dominance in the cohort and first-degree dominance in the stock. For specific illfare functions the disutilityU(x) when applied to the cohort and the disutilityU(x) when applied to the stock will produce the same value of aggregate welfare (illfare).     

Individual Decision Making in a Negative Externality Experiment

The experimental treatments analysed in this paper are simple in that there is a unique Nash equilibrium resulting in each player having a dominant strategy. However, the data show quite clearly that subjects do not always choose this strategy. In fact, when this dominant strategy is not a focal outcome it does not even describe the average decision adequately. It is shown that average individual decisions are best described by a decision error model based on a censored distribution as opposed to the truncated regression model which is typically used in similar studies. Moreover it is shown that in the treatments where the dominant strategy is not focal dynamics are important with average subject decisions initially corresponding to the focal outcome and then adjusting towards the Nash prediction. Overall, 66.7% of subjects are consistent with Payoff Maximization, 27.8% are consistent with an alternate preference maximization and 5.6% are random.     

Environmental market creation: saviour or oversell?

In recent years considerable attention has been paid to the notion of market creation for the conservation of environmental assets. Market creation establishes a market in the external benefit or cost in question (e.g. biodiversity or pollution reduction) and leaves the relevant parties to adjust their behaviour accordingly. While most attention has been paid to market creation through tradable permits and taxes (the polluter-pays), it is less easy to secure a perspective on beneficiary-pays initiatives. Both polluter-pays and beneficiary-pays initiatives are examples of modified Coaseian bargains in which governments intervene in the bargains to lower transactions costs, establish property rights, deal with public goods issues, or act on behalf of disadvantaged groups. This paper reviews four major initiatives in this respect - debt-for-nature swaps, bioprospecting and the Global Environment Facility at the global level, and the Costa Rican Forest Law at the local level. It finds that while there is much to applaud in initiatives in these new markets, serious questions remain about the modest flows of funds associated with such global bargains, and the extent to which they secure environmental improvements relative to the baseline of business-as-usual.JEL Classification: D49, D62, H41, O19, Q57, Q2I am indebted to members of the Wildlife Conservation Research Unit at Oxford University and to David Simpson of Resources for the Future and University College London for valuable comments on an earlier version of this paper. Any remaining mistakes are entirely my responsibility.     

Measuring the welfare effects of tax changes using the LES: An application to a carbon tax

This paper explores the use of a parametric approach to the measurement of compensating and equivalent variations resulting from price changes. The approach is based on the application of the Linear Expenditure System (LES) to each of a range of household income groups, rather than being based on a representative consumer. The method is then used to examine the distributional effects of a carbon tax, designed to reduce carbon dioxide emissions. The price changes resulting from a carbon tax depend on the carbon intensities of each good, which depend in turn on the nature of inter-industry transactions (the input-output matrix). The use of transfer payments to compensate for adverse distributional effects of a carbon tax is investigated, using social welfare functions based on equivalent incomes.     

Some notes on trichotomous choice discrete valuation

For some respondents, the bid offered by the dichotomous choice format used in the discrete choice technique can in fact be the true optimum. In this case the correct answer is neither yes or no, but indifferent. We shall show results from a trichotomous choice format and analyse whether it produces welfare measures with narrower confidence intervals than the dichotomous technique. Another well known problem in contingent valuation (CV) studies is that the volume of the good to be purchased from hypothetical markets is not, in many cases, defined in precise terms. We show how the trichotomous choice technique can be used to test for possible vagueness in the volume of the project to be valued.