On the implementation of the L-Nash bargaining solution in two-person bargaining games

The “Nash program” initiated by Nash (Econometrica 21:128–140, 1953) is a research agenda aiming at representing every axiomatically determined cooperative solution to a game as a Nash outcome of a reasonable noncooperative bargaining game. The L-Nash solution first defined by Forgó (Interactive Decisions. Lecture Notes in Economics and Mathematical Systems, vol 229. Springer, Berlin, pp 1–15, 1983) is obtained as the limiting point of the Nash bargaining solution when the disagreement point goes to negative infinity in a fixed direction. In Forgó and Szidarovszky (Eur J Oper Res 147:108–116, 2003), the L-Nash solution was related to the solution of multiciteria decision making and two different axiomatizations of the L-Nash solution were also given in this context. In this paper, finite bounds are established for the penalty of disagreement in certain special two-person bargaining problems, making it possible to apply all the implementation models designed for Nash bargaining problems with a finite disagreement point to obtain the L-Nash solution as well. For another set of problems where this method does not work, a version of Rubinstein’s alternative offer game (Econometrica 50:97–109, 1982) is shown to asymptotically implement the L-Nash solution. If penalty is internalized as a decision variable of one of the players, then a modification of Howard’s game (J Econ Theory 56:142–159, 1992) also implements the L-Nash solution.

The political construction of old age as reflected in online discussions

The present paper examines the political construction of ageing and conflicts between generations. The process of construction is driven not merely by institutional actors and opinion leaders in the media, but also by citizens who talk to each other about politics. In my paper I have focused on the latter by observing online discussions that appear on the political forum Index.hu. Disagreement between old people’ and ‘young people’ evolved mainly about the pension system, thus the examination of ageing constructions is embedded in this context. In spite of its numerous limits, the method used seems to be suitable for providing hypotheses for further research. In the first part of the study I present the applied theoretical approach in which the concept of stereotype is connected with the concept of social construction. After that I focus on investigating the activity, origin and contents of the stereotypes that influence the construction of ageing. In the third part of the study the components of the constructions are demonstrated.