We generalize exactness to games with non-transferable utility (NTU). In an exact game for each coalition there is a core allocation on the boundary of its payoff set. Convex games with transferable utility are well-known to be exact. We study five generalizations of convexity in the NTU...

We show that in the canonical non-cooperative multilateral bargaining game, a subgameperfect equilibrium exists in pure stationary strategies, even when the space of feasible payoffs is not convex. At such an equilibrium there is no delay. We also have the converse result that randomization will...

This paper studies the sales of a single indivisible object where bidders have continuous valuations. In Grigorieva et al. [13] it was shown that, in this setting, query auctions necessarily allocate inefficiently in equilibrium. In this paper we propose a new sequential auction, called the...

This paper addresses two-dimensional trajectory optimization problems, where the mover''s speed monotonically decreases/increases in one of the space''s coordinates. For instance, it is well-known that the absolute value of the helicopter speed decreases in altitude because air pressure drops....

To verify whether a transferable utility game is exact, one has to check a linear inequalityfor each exact balanced collection of coalitions. This paper studies the structure andproperties of the class of exact balanced collections. Comparing the definition of exactbalanced collections with the...

In the last 20 years competitive analysis has become the main tool for analyzing the quality of online algorithms. Despite of this, competitive analysis has also been criticized: it sometimes cannot discriminate between algorithms that exhibit significantly different empirical behavior or it...

We show that in the canonical non-cooperative multilateral bargaining game, a subgameperfect equilibrium exists in pure stationary strategies, even when the space of feasible payoffs is not convex. At such an equilibrium there is no delay. We also have the converse result that randomization will...

It is well known that competitive analysis yields results that do not reflect the observed performance of online paging algorithms. Many deterministic paging algorithms achieve the same competitive ratio, ranging from inefficient strategies as flush-when-full to the well-performing...

To verify whether a transferable utility game is exact, one has to check a linear inequalityfor each exact balanced collection of coalitions. This paper studies the structure andproperties of the class of exact balanced collections. Comparing the definition of exactbalanced collections with the...

We present constant approximative policies for preemptive stochastic scheduling. We derive policies with a guaranteed performance ratio of 2 for scheduling jobs with release dates on identical parallel machines subject to minimizing the sum of weighted completion times. Our policies as well as...