We consider school choice problems (Abdulkadiroglu and Sönmez, 2003) where students are assigned to public schools through a centralized assignment mechanism. We study the family of so-called rank-priority mechanisms, each of which is induced by an order of rank-priority pairs. Following the...

This paper introduces a class of endogenously proportional bargaining solutions. These solutions are inside the class of Directional solutions, which Chun and Thomson (1987) proposed to generalize (exogenously) proportional solutions of Kalai (1977). Endogenously proportional solutions are...

This paper tries to applying a new multidimensional graphical approach in the doctoral thesis entitled "Non-Cooperative Games" by Professor John Forbes Nash, Jr. We are using a new multidimensional coordinate space approach to visualize the full model of non-cooperative games in the same...

Rawls (1958) suggested that it is possible to arrive at a fair allocation in a 2-player Nash demand game by granting equal gains to both players. Rawls theorized that players themselves would select this allocation if they bargain from the 'original position'. Harsanyi (1958) suggested the...

The paper investigates newsvendor problem for a dyadic supply chain in which both the supplier and the retailer are concerned with fairness. Nash bargaining solution is introduced as the fairness reference point and equilibrium results are derived. The effects of fairness concerns on optimal...

We introduce a form of pre-play communication that we call "preopening". During the preopening, players announce their tentative actions to be played in the underlying game. Announcements are made using a posting system which is subject to stochastic failures. Posted actions are publicly...

We consider bargaining problems with compact star-shaped choice sets arising from a class of economic bargaining environments. Convex or comprehensive (relative to the disagreement point) problems are star-shaped but not conversely. We characterize single-valued solutions satisfying the Nash...

The Nash program is an important research agenda initiated in Nash (1953) in order to bridge the gap between the noncooperative and cooperative counterparts of game theory. The program is thus turning sixty-seven years old, but I will argue it is not ready for retirement, as it is full of energy...

In this paper we show how the Kolm triangle method, which is a standard tool for visualizing allocations in a public good economy, can also be used to provide a diagrammatical exposition of matching mechanisms and their effects on public good supply and welfare. In particular, we describe, on...

This paper proves that the traditional wisdom of robbing the rich for the poor will end up with just the opposite result. Evidences are given to confirm that such unjust re-distribution is happening in the real world. Welfare economists should be fired: to be replaced by wealth economists