Geodesics on the equilibrium manifold

We show the existence of a Riemannian metric on the equilibrium manifold such that a minimal geodesic connecting two (sufficiently close) regular equilibria intersects the set of critical equilibria in a finite number of points. This metric represents a solution to the following problem: given two (sufficiently close) regular equilibria, find the shortest path connecting them which encounters the set of critical equilibria in a finite number of points. Furthermore, this metric can be constructed in such a way to agree, outside an arbitrary small neighborhood of the set of critical equilibria, to any given metric with economic meaning.     

Trust and reciprocity: extensions and robustness of triadic design

Our paper reconsiders the triadic design proposed by Cox (Games and Economic Behavior 46:260–281, 2004) to identify trust and reciprocity in investment games. Specifically, we extend the design in two directions. First, we collect information on investors’ choices by using both the direct-response (as does Cox) and strategy methods. Using the latter, we are able to condition reciprocity on initial inequality, which is endogenous when investigating reciprocity. We demonstrate that the triadic design provides evidence for reciprocity once that initial inequality is considered. Second, we elicit expectations and test their coherence with the triadic outcomes. By examining the relationship between trust actions and expected gains, we analyze whether investors’ expectations are consistent with their behavior. Finally, we test for the existence of an emotional bias, i.e., whether expectation mismatches induce trustees to change actual choices from the planned ones.     

A note on the structural stability of the equilibrium manifold

In a smooth pure exchange economy with fixed total resources we investigate whether the smooth selection property holds when endowments are redistributed across consumers through a continuous (non-local) redistribution policy. We show that if the policy is regular then there exists a unique continuous path of equilibrium prices which support it.     

Termination clauses in partnerships

We show that when designing a partnership agreement partner firms may prefer not to specify how to allocate the commonly owned assets should there be an early termination of the contract. By not including such a clause, firms induce litigation before a Court with positive probability. Firms create this ex-post inefficiency in order to increase the levels of non-contractible investments, i.e. increase the ex-ante efficiency. The absence of an asset allocation clause works as a “discipline device” that mitigates the hold-up problem within the partnership. In our set-up, no other contract but that without an asset allocation clause can credibly create an ex-post inefficiency.     

Does player specialization predict player actions? Evidence from penalty kicks at FIFA World Cup and UEFA Euro Cup

Penalty kicks are analysed in the literature as ‘real life experiments’ for assessing the use of rational mixed strategies by professional players. However, each penalty kick cannot be considered a repetition of the same event because of the varying background conditions, in particular the heterogeneous ability of different players. Consequently, aggregate statistics over data sets composed of a large number of penalty kicks mediate the behaviour of the players in different games, and the properties of optimal mixed strategies cannot be tested directly because of aggregation bias. In this article, we model the heterogeneous ability of players. We then test the hypothesis that differently talented players randomize over different actions. To achieve this aim, we study a data set that collects penalties kicked during shoot-out series in the last editions of FIFA World Cup and UEFA Euro Cup (1994–2012) where kickers are categorized as specialists and non-specialists. The results support our theoretical predictions.     

Innovation in knowledge-based professional service firms. An integrated conceptual model*

ABSTRACT

The current paper offers a new conceptual model to understanding innovation processes in professional service firms, to make hidden relationships more explicit and to find out what are the issues still unexplored. The paper employs a systematic literature review, and draws upon original categorizations of extant literature, to identify main processes for each category of PSFs. It unveils connections among a wide range of factors setting a conceptual model for innovation pathways and highlighting neglected questions relevant from both the theoretical and the practical perspectives.