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Analyzing the Robustness of Decision Strategies in Multiagent Decision Making

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Abstract

We consider a multiagent decision making problem where an agent, being able to estimate the preferences of other agents, defines its own in such a way that, after an aggregation process, its most desired alternative receives the highest group support. In previous work, this informed agent defined its preferences as the solution of a non-linear optimization problem. In this competitive scenario, and focusing on this agent, we analyze the amount of imprecision in the estimates that can be tolerated while still making its most preferred alternative the most supported one. We empirically show that, even when considering just the “harmful” errors in the estimates, the informed agent is able to force the group decision towards its interest.

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Acknowledgments

D. Pelta acknowledges support from projects TIN2011-27696-C02-01, Spanish Ministry of Economy and Competitiveness and P11-TIC-8001 from the Andalusian Government (including FEDER funds from the European Union). Ronald Yager’s contribution was in part supported by an ARO Multidisciplinary University Research Initiative (MURI) grant (Number W911NF-09-1-0392) and by the ONR grant for “Modeling Human Behavior with Fuzzy and Soft Computing Methods”, award number N00014-13-1-0626. The authors thanks the financial support of the Granada Excellence Network of Innovation Laboratories (GENIL), University of Granada (UGR), Campus of International Excellence BioTic-Granada.

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Authors and Affiliations

  1. Models of Decision and Optimization Research Group, CITIC-UGR, Department of Computer Science and A.I., University of Granada, 18071 , Granada, Spain

    David A. Pelta

  2. Machine Intelligence Institute, Iona College, New Rochelle, NY, 10801, USA

    Ronald R. Yager

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  1. David A. Pelta
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  2. Ronald R. Yager
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Correspondence to David A. Pelta.

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Pelta, D.A., Yager, R.R. Analyzing the Robustness of Decision Strategies in Multiagent Decision Making. Group Decis Negot 23, 1403–1416 (2014). https://doi.org/10.1007/s10726-013-9376-0

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  • DOI: https://doi.org/10.1007/s10726-013-9376-0

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