Stepwise ordinal efficiency for the random assignment problem

We introduce a notion of efficiency, called Stepwise Ordinal Efficiency (SOE), and prove that it coincides with a fairness notion of interim favoring ranks, in the sense of Harless (2018). We also prove that SOE implies ordinal efficiency, while it is not compatible with rank efficiency. Then, we provide an impossibility result which states that no mechanism meets SOE, weak strategy-proof, and strong equal treatment of equals. Finally, we show that a modified eating algorithm satisfies SOE.     

Modeling institutional evolution

This paper proposes a formal framework to analyze the process of institutional evolution in relation with economic progress. Institutions have both formal (F) and informal (N) aspects that may exhibit varying processes of change. N is hypothesized to evolve with the level of capital stock, as in learning by doing, whereas F is chosen optimally by a government that maximizes output subject to social and political costs. F and N together define the production technology and affect the income level. Consistent with evidence, simulations of the model's solution reveal that optimum F exhibits a punctuated pattern.     

Continuous representation of a preference relation on a connected topological space

Necessary and sufficient conditions are given for the existence of two continuous real valued functions u and v on a connected topological space X endowed with a preference relation ≺ (i.e., an asymmetric binary relation) such that y is preferred to x if and only if v(y)>u(x). It is shown that these conditions - a slight generalization of the usual ones encountered in classical utility theory - entail the existence of such a continuous representation u, v with u and v continuous utility functions for two complete preorders intimately connected with the preference relation ≺.     

Maximum likelihood estimation of stochastic frontier models by the Fourier transform

The paper is concerned with several kinds of stochastic frontier models whose likelihood function is not available in closed form. First, with output-oriented stochastic frontier models whose one-sided errors have a distribution other than the standard ones (exponential or half-normal). The gamma and beta distributions are leading examples. Second, with input-oriented stochastic frontier models which are common in theoretical discussions but not in econometric applications. Third, with two-tiered stochastic frontier models when the one-sided error components follow gamma distributions. Fourth, with latent class models with gamma distributed one-sided error terms. Fifth, with models whose two-sided error component is distributed as stable Paretian and the one-sided error is gamma. The principal aim is to propose approximations to the density of the composed error based on the inversion of the characteristic function (which turns out to be manageable) using the Fourier transform. Procedures that are based on the asymptotic normal form of the log-likelihood function and have arbitrary degrees of asymptotic efficiency are also proposed, implemented and evaluated in connection with output-oriented stochastic frontiers. The new methods are illustrated using data for US commercial banks, electric utilities, and a sample from the National Youth Longitudinal Survey.     

Identifying new dimensions of business incubation: A multi-level analysis of Karolinska Institute's incubation system

Relying on an in-depth case study of the incubator related to the Swedish medical university Karolinska Institute's (KI), this paper identifies new analytical and strategic dimensions of incubation. Departing from the current literature's prevalent focus on incubators as organizations performing a predefined set of activities for incubatees (facility renting, coaching, training and connecting), we perform a multilevel analysis embracing, next to the organizational and the project-specific levels, also the broader institutional and inter-organizational level. Our analysis relies on seven key components of incubation, namely its time, place, sources, resources, control/governance, activities/services and outcomes. Further, we view incubators as strategic actors engaged in value creation on a broader arena than the strict incubation context, even an international arena, where incubators' choices and interactions can be analyzed with the help of concepts from various streams in the business strategy literature. The specific strategic drivers of business incubation that we identify in the KI incubator's case are six: positioning in the value chain, risk taking/time perspective, revenue model, governance/control, internationalization, and cooperation/competition. The paper concludes with managerial implications urging incubators to take more of a strategic perspective rather than focussing only on the established components of their operations.     

Index

The Yule distribution is shown to have certain interesting properties in the area of regression analysis. In particular, it is shown that under certain conditions, a random variable Z will have linear regressions on another random variable X and on its observable part Y only when X has a Yule distribution. More generally, the regression on the observed part Y will be constant for a finite number of values of Y, say k, and linear otherwise, only when X has a Yule distribution with its first k frequencies truncated.     

No-envy,solidarity, and strategy-proofness in the queueing problem

Given a group of agents, the queueing problem is concerned with finding the order to serve agents and the monetary transfers they should receive. In this paper, we characterize interesting subfamilies of the VCG mechanisms by investigating the implications of either no-envy or solidarity requirements. First, we present a characterization of the strategy-proofand envy-freemechanisms. Next, we present characterizations of VCG mechanisms satisfying one of two different formulations of cost monotonicity or population monotonicity. Finally, we show that among the envy-free and strategy-proof mechanisms, the only ones that satisfy one of two formulations of cost monotonicity or population monotonicity are extensions of the pivotal or the reward-based pivotal mechanisms.     

Weakened WARP and top-cycle choice rules

We propose the following weakened version of WARP: if the decision maker selects an alternative x and rejects another alternative y in some context, he cannot select y and reject x in another context. This axiom is consistent with cyclic choices. It is necessary and sufficient for the choice from every subset A of a (finite) universal set X to coincide with the weak upper-contour set of the transitive closure of some fixed complete relation at some alternative in A. Adding further simple axioms forces the choice from each subset to coincide with the top cycle (in that subset) of some fixed tournament over the universal set.     

The winners and losers of tax reform: An assessment under financial integration

I quantify the macroeconomic and redistributive effects of the unilateral elimination of the capital income tax in a two-country, heterogeneous-agent incomplete markets model with progressive labor income taxes. Home, by implementing the reform, induces government responses where labor income is taxed in Home and mostly subsidized in Foreign. In addition, post-reform price dynamics reduce Home’s wealth and suppress households’ ability to do consumption smoothing, with negative effects on the majority—particularly on the poor. In turn, Foreign accumulates wealth, and price movements work particularly in favor of the poor. As a result, a large majority in Home prefers the status quo whereas Foreign supports the reform unanimously. These findings are robust to alternative scenarios where (i) the borrowing constraints are relaxed, (ii) both countries jointly eliminate capital income taxes, (iii) foreign interest income is taxed, and (iv) Home capital income tax is reduced from 40% to 35%.     

Nonlinear generalization of the Frobenius theorem: A symmetric approach

A further generalization of the Samuelson-Solow's results for the Frobenius theorem is presented. We ask the existence of a semi-positive vector x with a non-negative scalar λ for an equation F(x;λ)=0, where F is a vector function from Rⁿ into itself with the parameter value λ. The nature of our extension as well as economic interpretation of our assumptions is also discussed in the paper.     

The impact of public regulation on housing quality and on structural changes

This paper represents a theoretical investigation of profit maximizing behavior of a landlord under rent control. The situation envisioned is one that the landlord owns, free and clear, either two housing units ready to merge or one large one ready to convert into two small ones; in each case the units are already in place, such that capital costs are sunk and treated as bygones. Each unit has a technology of production of housing services with a fixed input of quantity of space (shelter) and a variable input of quality, that is affected by physical ageing (non-controllable) and by maintenance (controllable). At starting time t₀, we have a state of quality and a historical state of initial quality Q?_i, at the time the building was built, with the implicit constraint that Q_i(t) < Q?_i, for all t> t₀. The analysis addresses the general question of housing structural changes—conversion or merger—and how these changes are being accelerated under the threat of rent control.     

Estimating features of a distribution from binomial data

We propose estimators of features of the distribution of an unobserved random variable W. What is observed is a sample of Y,V,X where a binary Y equals one when W exceeds a threshold V determined by experimental design, and X are covariates. Potential applications include bioassay and destructive duration analysis. Our empirical application is referendum contingent valuation in resource economics, where one is interested in features of the distribution of values W (willingness to pay) placed by consumers on a public good such as endangered species. Sample consumers with characteristics X are asked whether they favor (with Y=1 if yes and zero otherwise) a referendum that would provide the good at a cost V specified by experimental design. This paper provides estimators for quantiles and conditional on X moments of W under both nonparametric and semiparametric specifications.     

Comparing two territory partitions in districting problems: Indices and practical issues

Planning as part of public sector decision-making situations is an activity of critical importance, with direct relevance for urban planners. The ramifications of such decisions generally have significant effect on peoples’ lives. The current paper deals with the comparison between territorial maps in the context of districting problems with a strong socio-economic component. The theoretical problem involves the comparison of two partitions in a connected, undirected, and planar graph. In considering this problem, we introduce three new indices to compare territory partitions: compatibility, inclusion, and distance, all of which have importance for real-world planning situations. Numerical experiments of these indices were carried out for the communes network in (Iˆle de France), France.     

Some results on the existence of utility functions on path connected spaces

This paper concerns the existence of utility representations for preferences defined on a path connected space X. This includes any convex set. A classical result of Eilenberg (1941) proves the existence of utility representations when the consumption set is connected and separable. In an infinite dimensional space the above result may not be useful, because we lack, in general, the separability of the space. The non-separable spaces L^∞ and ca(K) are typical examples in mathematical economics. In this paper we show that a continuous preference relation ≽, on X has a continuous utility representation if and only if it is countably bounded, i.e., there is some countable subset F of X such that for all x in X there exist y and z in F with y≽x≽z. An easy corollary states that any continuous preference which has a best and a worst point has a continuous representation. We also obtain a convex continuous preference on a Banach lattice that has not a utility representation, because it is not countably bounded.     

Revolutionary innovation and the incumbent business: Patterns of relationship and coping strategies

Revolutionary innovations bring about drastically new ways of doing business that potentially challenge the dominance and even the survival of many powerful incumbent firms. The choice of the incumbent firms’ strategies in coping with a revolutionary innovation depends on the specific patterns of relationship between the revolutionary innovation and the incumbent firms’ core business, be it substitutive, complementary, or parallel. In the situation of a substitutive relationship, the incumbent firms could exit from the incumbent business through swift divesting or gradual harvesting before it is eventually displaced or eroded. In a complementary relationship, the incumbents could absorb the innovation into the incumbent business by embracing the innovation that enables them to add entirely new functions to their incumbent business or assimilating the innovation to enhance the value of the incumbent business. In a parallel relationship, the revolutionary innovation either results in the retrenchment of the incumbent business or leaves it undisturbed, which, respectively, calls for specializing in certain niches of the incumbent business or further solidifying the incumbent business. In addition to the above coping strategies focusing primarily on the incumbent business, the incumbent firms also need to deal simultaneously with the new businesses inspired and propelled by the revolutionary innovation. They could fend off the potential disruptions of the innovation by engaging in a competitive fight in the market domain or a nonmarket fight in the sociopolitical domain. They could also enter those new businesses through greenfield entry or merger and acquisition.     

Nonparametric identification of a binary random factor in cross section data

Suppose V and U are two independent mean zero random variables, where V has an asymmetric distribution with two mass points and U has some zero odd moments (having a symmetric distribution suffices). We show that the distributions of V and U are nonparametrically identified just from observing the sum V+U, and provide a pointwise rate root n estimator. This can permit point identification of average treatment effects when the econometrician does not observe who was treated. We extend our results to include covariates X, showing that we can nonparametrically identify and estimate cross section regression models of the form Y=g(X,D^∗)+U, where D^∗ is an unobserved binary regressor.     

Some properties of the LIML estimator in a dynamic panel structural equation

We investigate the finite sample and asymptotic properties of the within-groups (WG), the random-effects quasi-maximum likelihood (RQML), the generalized method of moment (GMM) and the limited information maximum likelihood (LIML) estimators for a panel autoregressive structural equation model with random effects when both T (time-dimension) and N (cross-section dimension) are large. When we use the forward-filtering due to Alvarez and Arellano (2003), the WG, the RQML and GMM estimators are significantly biased when both T and N are large while T/N is different from zero. The LIML estimator gives desirable asymptotic properties when T/N converges to a constant.     

Optimality and construction of some rectangular designs

We obtain a sufficient condition forE-optimality of equireplicate designs. As an application, we proveE-optimality of certain types of three-class PBIBDs based on rectangular association scheme — in short — rectangular designs. These designs turn out to be highly efficient with respect to theA-criterion as well. We also observe that these designs, though themeselves not regular graph designs (RGD's) are yet strictlyE-better than every competing RGD, wheneverv≥26 andv=2 (mod 4). This provides an infinite series of counter examples to the conjecture of John and Mitchell (1977). We also present two methods of construction of the rectangular designs. Apart from providing infinitely many examples of the designs provedE-optimal in this paper and in Cheng and Constantine (1986), this construction also provides — as a special case — the first known infinite series of most balanced group divisible designs, which were proved optimal with respect to all type 1 criteria by Cheng (1978).