Search results for "Finite horizon"
showing 5 items of 5 documents
Noncooperative dynamic games for inventory applications: A consensus approach
2008
We focus on a finite horizon noncooperative dynamic game where the stage cost of a single player associated to a decision is a monotonically nonincreasing function of the total number of players making the same decision. For the single-stage version of the game, we characterize Nash equilibria and derive a consensus protocol that makes the players converge to the unique Pareto optimal Nash equilibrium. Such an equilibrium guarantees the interests of the players and is also social optimal in the set of Nash equilibria. For the multi-stage version of the game, we present an algorithm that converges to Nash equilibria, unfortunately not necessarily Pareto optimal. The algorithm returns a seque…
Partially revocable commitments in a negotiation with a deadline
2004
Abstract [Fershtman, C., Seidmann, D., 1993. Deadline effects and inefficient delay in bargaining with endogenous commitment. Journal of Economic Theory 60, 306–321] showed that the presence of an irrevocable endogenous commitment with a fixed deadline results in the so called deadline effect. In this paper we analyse the effects of partially revocable endogenous commitments of a seller in an infinite horizon negotiation in which a deadline can arise with positive probability. We obtain that when the commitment possesses a sufficiently large revocable part not only the inefficient delays disappear and an immediate agreement is reached but also the commitment has a value. On the other hand, …
BARGAINING WITH COMMITMENT UNDER AN UNCERTAIN DEADLINE
2006
We consider an infinite horizon bargaining game in which a deadline can arise with positive probability and where players possess an endogenous commitment device. We show that for any truncation of the game, the equilibrium agreement can only take place if the deadline arises within this finite horizon. Since the deadline is an uncertain event, the equilibrium exhibits agreements which are delayed with positive probability.
Cooperative Inventory control
2005
In multi-retailer inventory control the possibility of sharing setup costs motivates communication and coordination among the retailers. We solve the problem of finding suboptimal distributed reordering policies that minimize setup, ordering, storage, and shortage costs incurred by the retailers over a finite horizon. Neuro-dynamic programming (NDP) reduces the computational complexity of the solution algorithm from exponential to polynomial on the number of retailers.
An infinite-horizon model of dynamic membership of international environmental agreements
2007
Abstract Much of the literature on international environmental agreements (IEAs) uses static models, although most important transboundary pollution problems involve stock pollutants. The few papers that study IEAs using models of stock pollutants do not allow for the possibility that membership of the IEA may change endogenously over time. In this paper we analyse a simple infinite-horizon version of the static model of self-enforcing IEAs, in which damage costs increase with the stock of pollution, and countries decide each period whether to join an IEA. Using a quadratic approximation of the value function of the representative country we show that there exists a steady-state stock of po…