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Multilateral bargaining for resource division

By Shaheen Fatima and Michael Wooldridge

Abstract

This is a conference paper from ECAI 2014. It is published online with Open Access by IOS Press and distributed under the terms\ud of the Creative Commons Attribution Non-Commercial License.We address the problem of how a group of agents can\ud decide to share a resource, represented as a unit-sized pie. We investigate\ud a finite horizon non-cooperative bargaining game, in which\ud the players take it in turns to make proposals on how the resource\ud should be allocated, and the other players vote on whether or not to\ud accept the allocation. Voting is modelled as a Bayesian weighted voting\ud game with uncertainty about the players’ weights. The agenda,\ud (i.e., the order in which the players are called to make offers), is\ud defined exogenously. We focus on impatient players with heterogeneous\ud discount factors. In the case of a conflict, (i.e., no agreement\ud by the deadline), all the players get nothing. We provide a Bayesian\ud subgame perfect equilibrium for the bargaining game and conduct an\ud ex-ante analysis of the resulting outcome. We show that, the equilibrium\ud is unique, computable in polynomial time, results in an instant\ud Pareto optimal agreement, and, under certain conditions provides a\ud foundation for the core of the Bayesian voting game. Our analysis\ud also leads to insights on how an individual’s bargained share is in-\ud fluenced by his position on the agenda. Finally, we show that, if the\ud conflict point of the bargaining game changes, then the problem of\ud determining a non-cooperative equilibrium becomes NP-hard even\ud under the perfect information assumption

Publisher: © The Authors and IOS Press
Year: 2014
DOI identifier: 10.3233/978-1-61499-419-0-309
OAI identifier: oai:dspace.lboro.ac.uk:2134/16726

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