We consider a two-period exchange economy with a finite set of consumers, states of nature, independent assets and a single consumption good. We prove the existence of competitive equilibrium in incomplete markets, when consumption set is not assumed to be compact, set of assets is linearly...

The significance of population monotonicity and welfare bounds is well-recognized in the fair division literature. We consider the welfare bounds that are central to the fair allocation literature, namely, the identical-preferences lower-bound, individual rationality, the stand-alone...

The significance of population monotonicity and welfare bounds is well-recognized in the fair division literature. We characterize population monotonic and incentive compatible mechanisms which allocate the goods efficiently and respect a welfare lower bound chosen in the fair allocation problem...

The fixed-route traveling salesman problem with appointments, simply the appointment problem, is concerned with the following situation. Starting from home, a traveller makes a scheduled visit to a set of sponsors and returns home. If a sponsor in the route cancels her appointment, the traveller...

We study the problem of allocating heterogeneous indivisible tasks in a multi-object-demand model (i.e., each agent can be assigned multiple objects) where monetary transfers are allowed. Agents. costs for performing tasks are their private information and depend on what other tasks they are...