Approximation algorithms for NP-hard problems
Approximation algorithms for NP-hard problems
Computationally Manageable Combinational Auctions
Management Science
Approaches to winner determination in combinatorial auctions
Decision Support Systems - Special issue on information and computational economics
Computers and Intractability; A Guide to the Theory of NP-Completeness
Computers and Intractability; A Guide to the Theory of NP-Completeness
A Web-Based Financial Trading System
Computer
Proceedings of the 5th International IPCO Conference on Integer Programming and Combinatorial Optimization
An Algorithm for Optimal Winner Determination in Combinatorial Auctions
IJCAI '99 Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence
Economic mechanism design for computerized agents
WOEC'95 Proceedings of the 1st conference on USENIX Workshop on Electronic Commerce - Volume 1
Proceedings of the first international joint conference on Autonomous agents and multiagent systems: part 1
Just Business -Shouldn't We Have Some Fun?
EC-Web 2001 Proceedings of the Second International Conference on Electronic Commerce and Web Technologies
Proceedings of the 5th Pacific Rim International Workshop on Multi Agents: Intelligent Agents and Multi-Agent Systems
Interval selection: applications, algorithms, and lower bounds
Journal of Algorithms
A robust open ascending-price multi-unit auction protocol against false-name bids
Proceedings of the 4th ACM conference on Electronic commerce
AAMAS '03 Proceedings of the second international joint conference on Autonomous agents and multiagent systems
A robust open ascending-price multi-unit auction protocol against false-name bids
Decision Support Systems - Special issue: The fourth ACM conference on electronic commerce
Exact algorithms for the matrix bid auction
Computers and Operations Research
A branch-and-cut algorithm for the Winner Determination Problem
Decision Support Systems
Combinatorial auctions with structured item graphs
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
A robust open ascending-price multi-unit auction protocol against false-name bids
Decision Support Systems - Special issue: The fourth ACM conference on electronic commerce
Secure combinatorial auctions by dynamic programming with polynomial secret sharing
FC'02 Proceedings of the 6th international conference on Financial cryptography
Exact algorithms for the matrix bid auction
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
Compactly representing utility functions using weighted goals and the max aggregator
Artificial Intelligence
Market-based allocation with indivisible bids
AMEC'05 Proceedings of the 2005 international conference on Agent-Mediated Electronic Commerce: designing Trading Agents and Mechanisms
Hi-index | 0.00 |
Combinatorial auctions provide an important tool for mechanism design in multi-agent systems. When implemented they require to solve combinatorial optimization problems such as set packing and partitioning problems. We present in this paper an analysis of the complexity of the problem to assign bids to bidders in combinatorial auctions. We show that the case of identical assets can be solved in polynomial time. The case of non-identical assets is in its general version NP-hard. Extra structure, like a complete ordering of assets, or mild side conditions make the problem solvable. Finally, we present an algorithm to solve small and medium sized instances in a limited time using standard software.