On (Subgame Perfect) Secure Equilibrium in Quantitative Reachability Games

We study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In such games, each player aims at reaching his own goal set of states as soon as possible. A previous work on this model showed that Nash equilibria (resp. secure equilibria) are guaranteed to exist in the multiplayer (resp. two-player) case. The existence of secure equilibria in the multiplayer case remained and is still an open problem. In this paper, we focus our study on the concept of subgame perfect equilibrium, a refinement of Nash equilibrium well-suited in the framework of games played on graphs. We also introduce the new concept of subgame perfect secure equilibrium. We prove the existence of subgame perfect equilibria (resp. subgame perfect secure equilibria) in multiplayer (resp. two-player) quantitative reachability games. Moreover, we provide an algorithm deciding the existence of secure equilibria in the multiplayer case.Comment: 32 pages. Full version of the FoSSaCS 2012 proceedings pape

How to Reconcile Financial Incentives and Prosocial Motivation of Loan Officers in Microfinance?

It has been widely recognized that the microfinance sector should pursue both social and financial objectives (double bottom line objective). However, with the growing success of microfinance, numerous microfinance institutions (MFIs) experience mission drift when they focus only on their financial mission at the expense of their social one. The mainstream incentive schemes set up by MFIs for their loan officers are one of the factors contributing to mission drift for several reasons. First, monetary rewards based on financial criteria may lead unscrupulous loan officers to push clients into overindebtedness. Second, financial incentives may have a negative effect on the prosocial motivation animating numerous microfinance loan officers. In this paper, we attempt to suggest, with a mathematical model, an optimal incentive scheme double bottom line on which MFIs could rely in order to preserve loan officers’ prosocial motivation while paying attention to their financial profit.info:eu-repo/semantics/publishe

Multiplayer Cost Games with Simple Nash Equilibria

Si les ouvrages à vocation méthodologique et professionnelle sont légions, beaucoup se contentent d’esquisser une opérationnalité élémentaire quelque peu superficielle et éphémère. Face aux enjeux épineux soulevés par l’audit de communication et sous-tendus par le plan de communication, nombre de manuels font figure de pansements. Parce que l’on ne peut transiger avec les pratiques, Thierry Libaert est exigeant. Son parcours allie l’expérience de la fonction communication à celle des missions..

Positive versus negative incentives for loan repayment in microfinance: A game theory approach

In most of the methodologies used so far by microfinance institutions, negative incentives are predominant, which can contrast with these institutions’ social mission. This paper investigates whether the microfinance industry could benefit from using more positive incentives. The main results of our game model are twofold. First, (positive or negative) incentives increase “on‐time” repayments. Second, the client is more likely to repay her loan with the encouragement of a bonus scheme rather than under the pressure of a sanction, regardless of the amount. This paper therefore argues for the increased use of positive incentives in the industry

Positive incentives in Microfinance: A game theory approach

Positive incentives in Microfinance: A game theory approac