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Winner Determination

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lightbulbAbout this topic
Winner determination is a process in operations research and game theory that identifies the optimal choice or outcome among competing alternatives based on predefined criteria and constraints. It involves evaluating options to ascertain which one maximizes utility or satisfies specific objectives, often within competitive environments such as auctions or resource allocation scenarios.
lightbulbAbout this topic
Winner determination is a process in operations research and game theory that identifies the optimal choice or outcome among competing alternatives based on predefined criteria and constraints. It involves evaluating options to ascertain which one maximizes utility or satisfies specific objectives, often within competitive environments such as auctions or resource allocation scenarios.

Key research themes

1. How can winner determination be efficiently solved and approximated in combinatorial and multi-attribute auctions?

This research area focuses on algorithmic and heuristic techniques for deciding the winning bids in auctions where multiple items with diverse attributes are involved and bids may be for combinations of items. Efficient winner determination is critical as such problems are computationally challenging (often NP-hard), requiring novel optimization methods to find near-optimal or exact solutions within reasonable time, particularly for real-time and large-scale applications.

Key finding: This paper proposes a genetic algorithm (GA) approach for winner determination in combinatorial reverse auctions incorporating all-units discounts and sellers' stock availability. The method effectively minimizes procurement... Read more
Key finding: The authors present GACRA, a GA-based method with enhanced repair and crossover strategies to maintain feasible and diverse candidate solutions for winner determination. Statistical experiments across multiple runs show... Read more
Key finding: This work extends classical Multi-Attribute Utility Theory (MAUT) and Conditional Preference networks (CP-nets) to enable buyer preference specification including quantitative, qualitative, and conditional preferences for... Read more

2. What is the computational complexity landscape and parameterized tractability in winner determination for voting and judgment aggregation?

This theme explores the computational difficulty of identifying winners in social choice contexts such as Dodgson elections and judgment aggregation, with particular focus on hardness results, parameterized complexity analysis, and the existence of efficient algorithms or kernels. Understanding this landscape informs the design of practical voting systems and aggregation rules by highlighting algorithmic limitations and guiding approximations or parameter-based strategies.

Key finding: The paper establishes that computing the Dodgson score of a candidate is computationally hard, specifically showing that the problem parameterized by the number of votes is W[1]-hard and that parameterization by the target... Read more
Key finding: This study delineates the computational complexity of three judgment aggregation problems: winner determination, strategic manipulation, and agenda safety. It demonstrates that winner determination is polynomial-time solvable... Read more
Key finding: The authors develop practical algorithms for computing necessary and possible winners under incomplete voter preferences, including polynomial-time methods for scoring rules and NP-hard cases resolved via Integer Linear... Read more

3. How do multi-winner contest formats and decision-theoretic approaches influence winner determination and strategic behavior?

This area examines the extension of single-winner contest models to multi-winner scenarios, comparing simultaneous versus sequential winner selection, and the implications on effort and adaptation dynamics. It also includes examination of theoretical decision frameworks like Tournament Decision Theory, connecting winner determination with decision-dependence and pairwise competitions. Insights into voting paradoxes and committee selection paradoxes further motivate design considerations for multi-winner election procedures.

Key finding: This experimental study establishes strategic equivalence between two multi-winner winner selection mechanisms in Tullock contests: joint selection and survivor (sequential loser elimination) selection. Despite equivalence in... Read more
Key finding: The paper analyzes four multi-winner voting rules generalized from single-winner scoring rules with respect to Condorcet committee efficiency and occurrence of paradoxes when committee members leave. It provides probabilistic... Read more
Key finding: This theoretical work introduces Tournament Decision Theory which models decision-making as a round-robin style tournament among options, each competing pairwise. It addresses limitations of causal and evidential decision... Read more

All papers in Winner Determination

Auctioning multi-dimensional items is a key challenge, which requires rigorous tools. This study proposes a multi-round, first-score, semi-sealed multi-attribute reverse auction system. A fundamental concern in multi-attribute auctions is... more
— This study introduces a new type of Combinatorial Reverse Auction (CRA), products with multi-units, multi-attributes and multi-objectives, which are subject to buyer and seller constraints. In this advanced CRA, buyers may maximize some... more
Utility companies can organize e-auctions to procure electricity from other suppliers during peak load periods. For this purpose, we develop an efficient Combinatorial Reverse Auction (CRA) to purchase power from diverse sources,... more
Auctioning multi-dimensional items is a key challenge, which requires rigorous tools. This study proposes a multi-round, first-score, semi-sealed multi-attribute reverse auction system. A fundamental concern in multi-attribute auctions is... more
Winner(s) determination in online reverse auctions is a very appealing e-commerce application. This is a combinatorial optimization problem where the goal is to find an optimal solution meeting a set of requirements and minimizing a given... more
The option of organizing E-auctions to purchase electricity required for anticipated peak load period is a new one for utility companies. To meet the extra demand load, we develop electricity combinatorial reverse auction (CRA) for the... more
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