Combinatorial Agency of Threshold Functions

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Combinatorial Agency of Threshold Functions

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Title: Combinatorial Agency of Threshold Functions
Author: Jain, Shaili; Parkes, David C.

Note: Order does not necessarily reflect citation order of authors.

Citation: Jain, Shaili, and David C. Parkes. 2011. Combinatorial agency of threshold functions. In Proceedings of the EC'11 12th Annual ACM Conference on Electronic Commerce, Workshop on Social Computing and User Generated Content: June 5, 2011, San Jose, CA. New York, NY: Association for Computing Machinery.
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Abstract: In this paper, we study the combinatorial agency problem introduced by Babaioff, Feldman and Nisan and resolve some open questions posed in their original paper. Our results include a characterization of the transition behavior for the class of threshold functions. This result confirms a conjecture of, and generalizes their results for the transition behavior for the OR technology and the AND technology. In addition to establishing a (tight) bound of 2 on the social Price of Unaccountability (POU) for the OR technology for the general case of n > 2 agents (the initial paper established this for n = 2, an extended version establishes a bound of 2.5 for the general case), we establish that the POU is unbounded for all other threshold functions (the initial paper established this only for the case of AND technology). We also obtain a characterization result for certain compositions of anonymous technologies and establish an unbounded POU for these cases.
Published Version: http://yiling.seas.harvard.edu/sc2011/index.html
Other Sources: http://www.yiling.seas.harvard.edu/sc2011/Jain.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9962003

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  • FAS Scholarly Articles [7106]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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