Cataloged from PDF version of article.In this study we are working on queuing problems. In our model a solution
to a queuing problem is an ordering of agents and a transfer vector where the
sum of the transfers of agents is equal to zero. Hence a queuing problem is a
double, where we have a finite set of agents and a profile of payoff functions of
agents which represent their preferences on their orderings and transfers. We
are assuming that the payoff functions of agents are quasi-linear on transfers.
Our main aim is to find envy free solutions for queuing problems. Since payoff
functions of agents are quasi-linear envy freeness implies Pareto efficiency. For
problems where there are less than five agents, we show that the set of envy
free solutions is not empty and we are able to characterize the envy free
solutions. We conjecture that our results may be extended to general case
similar to our extension from three person case to four person case. When
we assume that a queuing problem satisfies order preservation property we
are able to characterize envy free solutions with a solution concept that we
introduce in this study.Esmerok, İbrahim BarışM.S