Generic impossibility of Arrow’s impossibility theorem

Our major objective is to show that if there are infinitely many alternatives and society can be decomposed into the sum of two non-negligible coalitions, the set of all Arrovian collective choice rules that satisfy the ultrafilter property (its set of decisive coalitions form an ultrafilter), is nowhere dense in the set of all Arrovian collective choice rules. This result entails that (1) almost all Arrovian collective choice rules are non-dictatorial and (2) in any neighborhood of a dictatorial Arrovian collective choice rule, a nondictatorial Arrovian collective choice rule can be found, i.e., the property of admitting a dictator is not a locally stable property for Arrovian collective choice rules in the sense that the property does not withstand a small perturbation.     

Political institutions behind good governance

The present paper investigates the role of political institutions — namely, political regimes and electoral rules — in shaping the capacity of the government to implement policies that address citizens’ preferences, i.e., “good governance”. The empirical analysis, conducted on a panel of 80 democratic countries over the period 1996–2011, shows that the performance of the government depends on the interaction between electoral rules and political regimes. In particular, the performance of a government under a presidential regime improves when associated with a majoritarian electoral rule, while it worsens with a proportional electoral rule.     

On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem when individual preferences are weak orders

We will show that in the case where there are two individuals and three alternatives (or under the assumption of the free-triple property), and individual preferences are weak orders (which may include indifference relations), the Arrow impossibility theorem [Arrow, K.J., 1963. Social Choice and Individual Values, second ed. Yale University Press] that there exists no binary social choice rule which satisfies the conditions of transitivity, Pareto principle, independence of irrelevant alternatives, and non-existence of dictator is equivalent to the Brouwer fixed point theorem on a 2-dimensional ball (circle). Our study is an application of ideas by Chichilnisky [Chichilnisky, G., 1979. On fixed points and social choice paradoxes. Economics Letters 3, 347–351] to a discrete social choice problem, and also it is in line with the work by Baryshnikov [Baryshnikov, Y., 1993. Unifying impossibility theorems: a topological approach. Advances in Applied Mathematics 14, 404–415].     

Unanimity,anonymity, and infinite population

This paper is concerned with the implications of unanimity and anonymity for the Arrovian social choice theory when population is infinite. Contrary to the finite population case, various unanimity and anonymity axioms can be formulated. We show a tension between unanimity and anonymity by providing possibility and impossibility results. We also examine the case in which social preferences are allowed to be quasi-transitive.     

Double implementation of the Lindahl equilibrium by a continuous mechanism

We consider a class of economies with public goods that have the following properties: (i) The preferences of the agents are convex, interior, and strictly increasing. (ii) The technology for production of public goods is a closed convex cone that satisfies free disposal and an additional mild assumption. No assumptions are made on continuity, completeness or transitivity of preferences. We provide a continuous and feasible mechanism that implements the Lindahl equilibrium by Nash equilibria, and has the following property: For every economy in our class every Nash equilibrium of the game induced by the mechanism is a strong Nash equilibrium.     

Limiting Dictatorial rules

We consider the preference aggregation problem in infinite societies. In our model, there are arbitrarily many agents and alternatives, and admissible coalitions may be restricted to lie in an algebra. In this framework (which includes the standard one), we characterize, in terms of Strict Neutrality, the Ultrafilter Property of preference aggregation rules. Based on this property, we define the concept of Limiting Dictatorial rules, which are characterized by the existence of arbitrarily small decisive coalitions. We show that, in infinite societies which can be well approximated by finite ones, any Arrovian rule is limiting.     

Strategy-proof fuzzy aggregation rules

We investigate the structure of fuzzy aggregation rules which, for every permissible profile of fuzzy individual preferences, specify a fuzzy social preference. We show that all fuzzy aggregation rules which are strategy-proof and satisfy a minimal range condition are dictatorial. In other words, there is an individual whose fuzzy preferences determine the entire fuzzy social ranking at every profile in the domain of the aggregation rule. To prove this theorem, we show that all fuzzy aggregation rules which are strategy-proof and satisfy the minimal range condition must also satisfy counterparts of independence of irrelevant alternatives and the Pareto criterion. There has been hardly any treatment of the manipulability problem in the literature on social choice with fuzzy preferences.     

SMEs and public procurement policy

In this paper, we characterize an optimal procurement policy as a mechanism design problem when an allotment of the contract is available, i.e., when a government faces both SMEs and large firms for carrying out a heterogeneously divisible project. Our model allows us to analyze all procurement policies (set-asides, favoritism, non-discriminatory rules), taking into account both efficiency and distributive arguments and derive a normative framework. We show that set-asides are not generally optimal, whatever the industrial preferences of the government are, while the optimal preferential treatments of firms implies complex non-linear rules. We prove that the optimal policy can be implemented using a modified Vickrey-type auction. We also consider that the firms can reduce their cost by a non observable effort, and exhibit the specific impact of cost reduction incentives on the optimal policies.Received: 24 September 2001, JEL Classification: D44Pierre-HenriMorand : I am grateful to the anonymous referees for comments. The usualdisclaimer applies.     

Direct perturbations of aggregate excess demand

We complement the Sonnenschein–Mantel–Debreu results by establishing that an exchange economy, i.e., preferences and endowments, that generates a given aggregate excess demand (AED) function is close to the economy that generates a perturbation of this AED. As a consequence, genericity and determinacy results obtained by direct perturbation of an AED are as strong as results obtained by perturbing preferences and endowments.     

Risk preference heterogeneity in group contests

We analyze the first model of a group contest with players that are heterogeneous in their risk preferences. In our model, individuals’ preferences are represented by a utility function exhibiting a generalized form of constant absolute risk aversion, allowing us to consider any combination of risk-averse, risk-neutral, and risk-loving players. We begin by proving equilibrium existence and uniqueness under both linear and convex investment costs. Then, we explore how the sorting of a compatible set of players by their risk attitudes into competing groups affects aggregate investment. With linear costs, a balanced sorting (i.e., minimizing the variance in risk attitudes across groups) always produces an aggregate investment level that is at least as high as an unbalanced sorting (i.e., maximizing the variance in risk attitudes across groups). Under convex costs, however, identifying which sorting is optimal is more nuanced and depends on preference and cost parameters.     

Implementation of voting operators

We show that a theory of implementation can be developed in the Aizerman–Aleskerov framework, capturing the main ideas regarding Nash implementation in the Arrovian case. In fact we obtain the counterparts of the results of [Maskin, E., 1977. Nash Equilibrium and Welfare Optimality. MIT, Mimeo] and [Moore, J., Repullo, R., 1990. Nash implementation. A full characterization. Econometrica 58, 1038–1100] in the new framework.     

(Non-)Existence of Equilibria in Multicommunity Models

This paper reconsiders equilibrium existence in models with migration and voting over local public goods. We show that under some straightforward assumptions on preferences and income distributions, the basic structure of multicommunity models (i.e., perfect mobility, majority rule, single crossing property) implies that no equilibrium with jurisdictions conducting different policies can exist. Stratification equilibria—with sorting of the population according to income classes—are therefore not as natural as is sometimes suggested. Mechanisms that can serve to support stratification (i.e., tight housing markets, returns to scale in the provision of publicly consumed goods) are discussed.     

A topological approach to Wilson’s impossibility theorem

We will present a topological approach to Wilson’s impossibility theorem [Wilson, R.B., 1972. Social choice theory without the Pareto principle. Journal of Economic Theory 5, 478–486] that there exists no non-null binary social choice rule which satisfies transitivity, independence of irrelevant alternatives, non-imposition and has no dictator nor inverse dictator. Our research is in line with the studies of topological approaches to discrete social choice problems initiated by [Baryshnikov, Y., 1993. Unifying impossibility theorems: a topological approach. Advances in Applied Mathematics 14, 404–415]. This paper extends the result about the Arrow impossibility theorem shown in [Tanaka, Y., 2006. A topological approach to the Arrow impossibility theorem when individual preferences are weak orders. Applied Mathematics and Computation 174, 961–981] to Wilson’s theorem.     

Probabilistic strategy-proof rules over single-peaked domains

It is proved that every strategy-proof, peaks-only or unanimous, probabilistic rule defined over a minimally rich domain of single-peaked preferences is a probability mixture of strategy-proof, peaks-only or unanimous, deterministic rules over the same domain. The proof employs Farkas’ Lemma and the max-flow min-cut theorem for capacitated networks.     

Coasian equilibrium

We consider a general equilibrium economy with public goods and externalities. Following Boyd and Conley (1997), we treat externality markets directly instead of indirectly through Arrovian commodities. Because such direct externality markets are not subject to the nonconvexities that Starrett [Starrett, D., 1972. Fundamental nonconvexities in the theory of externalities. Journal of Economic Theory 4, 180–199] shows are fundamental to Arrow’s externality markets, this new approach admits the use of largely standard methods to prove welfare and existence theorems in an economy with externalities. We extend the Boyd and Conley model to allow firms to benefit from public goods and be damaged by externalities, and to allow consumers to produce externalities. We state a first welfare theorem and prove the existence of a competitive equilibrium. Taken together, this can be viewed as a type of general equilibrium Coase theorem. Considered as a special case, these theorems also represent a significant generalization of existing results for pure public goods economies.     

Work values preferences of Generation Y: performance relationship insights in the Australian Public Service

Empirical research to date has provided few insights into the values and performance norms of Generation Y in the workplace. Our exploratory qualitative study treats work values preferences as inferred performance behavior in an attempt to shed light on the Generation Y performance relationship in the Australian Public Service (APS). Adopting a person–organization values fit framework, our study draws attention to how Generation Y employees (N = 60) and older managers (N = 20) shape key aspects of performance around their own different values judgments of APS operational procedures (i.e. ‘unnecessary bureaucracy’ vs. ‘legitimate governance’) and merit-based promotion (i.e. ‘it’s just wasting people’s time’ vs. ‘younger employees expect too much, too soon’). Findings suggest areas of work supportive of an efficient Generation Y performance relationship (i.e. Generation Ys’ work ethic), as well as inefficient areas of performance where managers and Generation Y hold different work values preferences (i.e. unrealistic expectations; underperforming colleagues; decision-making processes). Performance implications associated with how managers may respond to the work values preferences of Generation Y are discussed.     

A strict expected multi-utility theorem

This paper integrates two key approaches to the representation of incomplete preferences over lotteries. The main result strengthens the conclusion of the expected multi-utility theorem in Dubra, Maccheroni, and Ok (2004) by ensuring that all utility indices involved are Aumann utilities (i.e., yield a strictly increasing expectation). The advantages of the method are demonstrated by parametrizing maximal elements and by providing a novel characterization of Aumann utilities.     

Optimal interest-rate rules and inflation stabilization versus price-level stabilization

This paper compares the properties of interest-rate rules such as simple Taylor rules and rules that respond to price-level fluctuations (called Wicksellian rules) in a basic forward-looking model. By introducing appropriate history dependence in policy, Wicksellian rules perform better than optimal Taylor rules in terms of welfare, robustness to alternative shock processes, and are less prone to equilibrium indeterminacy. A simple Wicksellian rule augmented with a high degree of interest rate inertia resembles a robustly optimal rule, i.e., a monetary policy rule that implements the optimal plan and that is also completely robust to the specification of exogenous shock processes.     

The psychology of talent management: A review and research agenda

Across six different streams of the literature (i.e., HRM; I/O psychology; educational psychology; vocational psychology; positive psychology; social psychology) we identify a number of discrepancies (i.e., between practitioner and academic interest; between talent management discourse and practice), theoretical perspectives (i.e., talent as capital; talent as individual difference; talent as giftedness; talent as identity; talent as strength; and talent as the perception of talent), tensions (i.e., object–subject; inclusive–exclusive; innate–acquired; input–output; transferable–context-dependent), and assumptions (i.e., about intuition versus data; about the effects of being labeled ‘talented’; about the effects of differential treatment) which we argue can serve as a basis for theory building, methodological advances, and new empirical work. With this review, we hope to join a growing group of talent management scholars pushing to make the transition from a growing into a mature field of study, characterized by widely accepted theoretical frameworks and research designs, and supported by the scholarly community.     

Corporate Entrepreneurship and Family Business: Learning Across Domains

Research at the interface of corporate entrepreneurship (CE) and family firms’ domains has grown steadily based on the premise that family firms’ specific elements uniquely affect CE antecedents, strategies, and outcomes. However, much remains to be uncovered. In this article, we offer a theoretical advancement of a corporate entrepreneurship process model for the case of family firms organized around the categories of ontology (i.e., domain redefinition), epiphany (i.e., new components and mechanisms), and heterogeneity (i.e., family firm variety and contingencies). This development paves the way for an agenda for future research and for possible generalizations to non‐family firms.