| Article ID: | iaor1997377 |
| Country: | Netherlands |
| Volume: | 17 |
| Issue: | 1 |
| Start Page Number: | 41 |
| End Page Number: | 45 |
| Publication Date: | Feb 1995 |
| Journal: | Operations Research Letters |
| Authors: | Hassin Refael, Haviv Moshe |
| Keywords: | Nash theory and methods |
The authors consider a memoryless queue in which the reward of service completion for an individual reduces to zero after some time. Customers, while comparing expected holding costs and the rewards have to decide if to join the system at all and if they do when to renege. The authors show that a unique Nash equilibrium exists in which each of the customers joins with some probability and reneges as soon as the reward is zero.