This research states the stylised n (more than two) players' splitting problem as a mathematical programme, relying on definitions of the values of the game and problem stationarity to generate tractable reduced forms, and derives the known solutions according to the properties of pertaining...

It is found that the “Theory of Moves” is adequate in a Cold War scenario, with functionally equal participants, such as the Cuban Missile Crisis. The destabilization of normal incentive systems, under power and information asymmetry, is what prevents an equilibrium from being reached, as...

We endogenize the precision parameter "lambda" of logit quantal response equilibrium (LQRE) (McKelvey and Palfrey, 1995). In the first stage of an endogenous quantal response equilibrium (EQRE), each player chooses precision optimally subject to costs, given correct beliefs over other players'...

In the rational choice problem Zutler (2011) proposed a model of choice by continuous Markov random walk on a set of alternatives to find the best. In this paper we investigate the optimal properties of obtained solutions. It is shown that the result of this choice is the maximal element on a...

This paper considers a matchmaker game in the Shapley-Shubik(1971) (one-to-one) assignment problem. Each …rm proposes how muchit is willing to pay each worker if they are matched. Each worker alsoproposes which salary she is willing to accept from each …rm if they arematched. The matchmaker...

It is well known that non-renegotiable contracts with third parties may have an effect on the outcome of a strategic interaction and thus serve as a commitment device. We address this issue when contracts are renegotiable. More precisely, we analyze the equilibrium outcomes of twostage games...

This article provides an exact non-cooperative foundation of the sequential Raiffa solution for two person bargaining games. Based on an approximate foundation due to Myerson (1997) for any two-person bargaining game (S,d) an extensive form game G^S^d is defined that has an infinity of weakly...

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...

The Nash bargaining solution of a modified bargaining problem in the contract space yields the pair of stationary subgame perfect equilibrium proposals in the alternating offers model, also for positive time between proposals. As time vanishes, convergence to the Nash bargaining solution is...

The bargaining model with stochastic order of proposing players is properly embedded in continuous time and it is strategically equivalent to the alternating offers model. For all parameter values, the pair of equilibrium proposals corresponds to the Nash bargaining solution of a modified...