Years and Authors of Summarized Original Work
STOC2012; Cai, Daskalakis, Weinberg
FOCS2012; Cai, Daskalakis, Weinberg
SODA2013; Cai, Daskalakis, Weinberg
FOCS2013; Cai, Daskalakis, Weinberg
SODA2015; Daskalakis, Weinberg
Problem Definition
The goal is to design algorithms that succeed in models where input is reported by strategic agents (henceforth referred to as strategic input), as opposed to standard models where the input is directly given (henceforth referred to as honest input). For example, consider a resource allocation problem where a single user has m jobs to process on n self-interested machines. Each machine i can process job j in time t ij , and this is privately known only to the machine. Each machine reports some processing times \(\hat{t}_{ij}\) to the user, who then runs some algorithm to determine where to process the jobs. Good approximation algorithms are known when machines are honest (i.e., \(\hat{t}_{ij} = t_{ij}\) for all i, j) if the user’s goal is to...
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Asadpour A, Saberi A (2007) An approximation algorithm for max-min fair allocation of indivisible goods. In: The 39th annual ACM symposium on theory of computing (STOC), San Diego
Bezáková I, Dani V (2005) Allocating indivisible goods. SIGecom Exch 5(3):11–18
Cai Y, Daskalakis C (2011) Extreme-value theorems for optimal multidimensional pricing. In: The 52nd annual IEEE symposium on foundations of computer science (FOCS), Palm Springs
Cai Y, Daskalakis C, Matthew Weinberg S (2012) An algorithmic characterization of multi-dimensional mechanisms. In: The 44th annual ACM symposium on theory of computing (STOC), New York
Cai Y, Daskalakis C, Matthew Weinberg S (2012) Optimal multi-dimensional mechanism design: reducing revenue to welfare maximization. In: The 53rd annual IEEE symposium on foundations of computer science (FOCS), New Brunswick
Cai Y, Daskalakis C, Matthew Weinberg S (2013) Reducing revenue to welfare maximization: approximation algorithms and other generalizations. In: The 24th annual ACM-SIAM symposium on discrete algorithms (SODA), New Orleans
Cai Y, Daskalakis C, Matthew Weinberg S (2013) Understanding incentives: mechanism design becomes algorithm design. In: The 54th annual IEEE symposium on foundations of computer science (FOCS), Berkeley
Daskalakis C, Matthew Weinberg S (2012) Symmetries and optimal multi-dimensional mechanism design. In: The 13th ACM conference on electronic commerce (EC), Valencia
Daskalakis C, Matthew Weinberg S (2015) Bayesian truthful mechanisms for job scheduling from bi-criterion approximation algorithms. In: The 26th annual ACM-SIAM symposium on discrete algorithms (SODA), San Diego
Grötschel M, Lovász L, Schrijver A (1981) The ellipsoid method and its consequences in combinatorial optimization. Combinatorica 1(2):169–197
Karp RM, Papadimitriou CH (1980) On linear characterizations of combinatorial optimization problems. In: The 21st annual symposium on foundations of computer science (FOCS), Syracuse
Khachiyan LG (1979) A polynomial algorithm in linear programming. Sov Math Dokl 20(1):191–194
Lenstra JK, Shmoys DB, Tardos É (1990) Approximation algorithms for scheduling unrelated parallel machines. Math Program 46(1–3):259–271
Myerson RB (1981) Optimal auction design. Math Oper Res 6(1):58–73
Shmoys DB, Tardos É (1993) Scheduling unrelated machines with costs. In: The 4th symposium on discrete algorithms (SODA), Austin
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Cai, Y., Daskalakis, C., Weinberg, M. (2016). Reducing Bayesian Mechanism Design to Algorithm Design. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_787
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DOI: https://doi.org/10.1007/978-1-4939-2864-4_787
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