The complexity of the winner determination problem has been studied for almost all common voting rules. A notable exception, possibly caused by some confusion regarding its exact definition, is the method of ranked pairs. The original version of the method, due to Tideman, yields a social preference function that is irresolute and neutral. A variant introduced subsequently uses an exogenously g...

Deregulation of telecommunications has meant an increase in third-party service provision, personalized service delivery and integrated networks and media. The efficient allocation of services, without human intervention, to satisfy advanced service requirements spanning several networks is a crucial task. This can be modeled as a winner determination problem in combinatorial auctions where the...

Combinatorial auctions are mechanisms for allocating bundles of goods to agents who each have preferences over these goods. Finding an economically efficient allocation, the so-called winner determination problem, is computationally intractable in the general case, which is why it is important to identify special cases that are tractable but also sufficiently expressive for applications. We int...

In a single-item auction, each bidder submits a valuation for the good and the auctioneer typically awards the item, or good, to the highest bidder, thereby maximizing the social welfare. If multiple goods are auctioned simultaneously, not only does the task of maximizing social welfare (winner determination) become more complex, but eliciting bids becomes complex as well. Since the goods can e...

We study the computational complexity of the counting version of the POSSIBLE-WINNER problem for elections. In the POSSIBLE-WINNER problem we are given a profile of voters, each with a partial preference order, and ask if there are linear extensions of the votes such that a designated candidate wins. We also analyze a special case of POSSIBLE-WINNER, the MANIPULATION problem. We provide polynom...

With the advancement of information technology need to perform computing tasks everywhere and all the time there, in cloud computing environments and heterogeneous users have access to different sources with different characteristics that these resources are geographically in different areas. Due to this, the allocation of resources in cloud computing comes to the main issue is considered a maj...

The runtime of winner determination for each round of a sequential bundle-bid auction (= SBB auction) has recently been shown to be linear in the number of submitted bids, which makes SBB auctions appealing for solving cooperative task-assignment problems. In this paper, we introduce the Shrewd (= SHrewd Resource Efficient Winner Determination) algorithm, whose runtime is linear in the number o...

The runtime of winner determination for each round of a sequential bundle-bid auction (= SBB auction) has recently been shown to be linear in the number of submitted bids, which makes SBB auctions appealing for solving cooperative task-assignment problems. In this paper, we introduce the Shrewd (= SHrewd Resource Efficient Winner Determination) algorithm, whose runtime is linear in the number o...

Abstract: This paper analyzes the dynamic programming construction of bundles within the framework of the Winner Determination Problem in Combinatorial Auctions, based on constraint processing. We discuss different approaches to its representation and highlight the corresponding complexity, employing suitable combinatorics from Discrete Mathematics. Our view may enlighten us about the exponenti...