Fairness under uncertainty with indivisibilities

I analyze an economy with uncertainty in which a set of indivisible objects and a certain amount of money is to be distributed among agents. The set of intertemporally fair social choice functions based on envy-freeness and Pareto efficiency is characterized. I give a necessary and sufficient condition for its non-emptiness and propose a mechanism that implements the set of intertemporally fair allocations in Bayes-Nash equilibrium. Implementation at the ex ante stage is considered, too. I also generalize the existence result obtained with envy-freeness using a broader fairness concept, introducing the aspiration function.

(Minimally) 'epsilon'-incentive compatible competitive equilibria in economies with indivisibilities

We consider competitive and budget-balanced allocation rules for problems where a number of indivisible objects and a fixed amount of money is allocated among a group of agents. In 'small' economies, we identify under classical preferences each agent's maximal gain from manipulation. Using this result we find the competitive and budget-balanced allocation rules which are minimally manipulable for each preference profile in terms of any agent's maximal gain. If preferences are quasi-linear, then we can find a competitive and budget-balanced allocation rule such that for any problem, the maximal utility gain from manipulation is equalized among all agents.

An algorithm for identifying agent-k-linked allocations in economies with indivisibilities

We consider envy-free (and budget-balanced) rules that are least manipulable with respect to agents counting or with respect to utility gains. Recently it has been shown that for any profile of quasi-linear preferences, the outcome of any such least manipulable envy-free rule can be obtained via agent-k-linked allocations. This note provides an algorithm for identifying agent-k-linked allocations.

Tractable Consumer Choice

We derive a rational model of separable consumer choice which can also serve as a behavioral model. The central construct is [lambda] , the marginal utility of money, derived from the consumer's rest-of-life problem. We present a robust approximation of [lambda], and show how to incorporate liquidity constraints, indivisibilities and adaptation to a changing environment. We fi nd connections with numerous historical and recent constructs, both behavioral and neoclassical, and draw contrasts with standard partial equilibrium analysis. The result is a better grounded, more flexible and more intuitive description of consumer choice.

A note on discrete claims problems

In this note, we consider claims problems with indivisible goods. Specifically, by applying recursively the P-rights lower bound (Jiménez-Gómez and Marco-Gil (2008)), we ensure the fulfillment of Weak Order Preservation, considered by many authors as a minimal requirement of fairness. Moreover, we retrieve the Discrete Constrained Equal Losses and the Discrete Constrained Equal Awards rules (Herrero and Martíınez (2008)). Finally, by the recursive double imposition of a lower and an upper bound, we obtain the average between them. Keywords: Claims problems, Indivisibilities, Order Preservation, Constrained Egalitarian rules, Midpoint. JEL classification: C71, D63, D71.

Strategy-proofness and essentially single-valued cores revisited

We consider general allocation problems with indivisibilities where agents' preferences possibly exhibit externalities. In such contexts many different core notions were proposed. One is the gamma-core whereby blocking is only allowed via allocations where the non-blocking agents receive their endowment. We show that if there exists an allocation rule satisfying ‘individual rationality’, ‘efficiency’, and ‘strategy-proofness’, then for any problem for which the gamma-core is non-empty, the allocation rule must choose a gamma-core allocation and all agents are indifferent between all allocations in the gamma-core. We apply our result to housing markets, coalition formation and networks.

Indivisibilidades entre natureza, homem e expressão artística: a reflexão estética de Merleau-Ponty

Pós-graduação em Artes - IA

Everyday Indivisibility: How Exclusive Religious Practices Explain Variation in Subnational Violence Outcomes

This project explores the puzzle of religious violence variation. Religious actors initiate conflict at a higher rate than their secular counterparts, last longer, are more deadly, and are less prone to negotiated termination. Yet the legacy of religious peacemakers on the reduction of violence is undeniable. Under what conditions does religion contribute to escalated violence and under what conditions does it contribute to peace? I argue that more intense everyday practices of group members, or high levels of orthopraxy, create dispositional indivisibilities that make violence a natural alternative to bargaining. Subnational armed groups with members whose practices are exclusive and isolating bind together through ritual practice, limit the acceptable decisions of leaders, and have prolonged timeframes, all of which result in higher levels of intensity, intransigence and resolve during violent conflict. The theory challenges both instrumentalist and constructivist understandings of social identity and violence. To support this argument, I construct an original cross-national data-set that employs ethnographic data on micro-level religious practices for 724 subnational armed groups in both civil wars and terror campaigns. Using this data, I build an explanatory “religious practice index” for each observation and examine its relationship with conflict outcomes. Findings suggest that exclusive practice groups fight significantly longer with more intensity and negotiate less. I also apply the practice model to qualitative cases. Fieldwork in the West Bank and Sierra Leone reveals that groups with more exclusive religious practicing membership are principle contributors to violence, whereas those with inclusive practices can contribute to peace. The project concludes with a discussion about several avenues for future research and identifies the practical policy applications to better identify and combat religious extremism.

Analysing the Contribution of Business Services to European Economic Growth. Bruges European Economic Research (BEER) Papers 9/February 2007

The sector business services contributes directly and indirectly to aggregate economic growth in Europe. The direct contribution comes from the sector’s own dynamism. Though the business-services industry appears to be characterised by strong cyclical volatility, there was also a strong structural growth. Business services actually generated more than half of total net employment growth in the European Union since the second half of the 1990s. Apart from this direct growth contribution, the sector also contributed in an indirect way to economic growth by generating knowledge and productivity spill-overs for other industries. The knowledge role of business services is reflected in its employment characteristics. The business-services industry created spill-overs in three ways: original innovations, knowledge diffusion, and the reduction of human capital indivisibilities at firm level. The share of knowledge-intensive business services in the intermediate inputs of the total economy has risen sharply in the last decade. Firm-level scale diseconomies with regard to knowledge and skill inputs are reduced by external deliveries of such inputs, thereby exploiting positive external scale economies. The process goes along with an increasingly complex social division of labour between economic sectors. The European business-services industry itself is characterised by a relatively weak productivity growth. Does this contribute to growth stagnation tendencies à la the socalled “Baumol disease”? The paper argues that there is no reason to expect this as long as the productivity and growth spill-overs from business services to other sectors are large enough. Finally, the paper concludes by suggesting several policy elements that could boost the role of business services in European economic growth. This might to achieve some of the ambitious Lisbon goals with respect to employment, productivity and innovation.