Time-quality tradeoffs in reallocative negotiation with combinatorial contract types

  • Authors:
  • Martin Andersson;Tuomas Sandholm

  • Affiliations:
  • -;-

  • Venue:
  • AAAI '99/IAAI '99 Proceedings of the sixteenth national conference on Artificial intelligence and the eleventh Innovative applications of artificial intelligence conference innovative applications of artificial intelligence
  • Year:
  • 1999

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Abstract

The capability to reallocate items--e.g. tasks, securities, bandwidth slices, Mega Watt hours of electricity, and collectibles--is a key feature in automated negotiation. Especially when agents have preferences over combinations of items, this is highly nontrivial. Marginal cost based reallocation leads to an anytime algorithm where every agent's payoff increases monotonically over time. Different contract types head toward different locally optimal allocations of items, and OCSM-contracts head toward the global optimum. Reaching it can take impractically long, so it is important to trade off solution quality against negotiation time. To construct negotiation protocols that lead to good allocations quickly, we evaluated original (O), cluster (C), swap (S), and multiagent (M) contracts experimentally. O-contracts led to the highest social welfare when the ratio of agents to tasks was large, and C-contract were best when that ratio was small. O-contracts led to the largest number of contracts made. M-contracts were slower per contract, and required a significantly larger number of contracts to be tried to verify that a local optimum had been reached. S-contracts were not competitive because they restrict the search space by keeping the number of items per agent invariant. O-contracts spread the items across agents while C-contracts and M-contracts concentrated them on a few agents.