Mechanism Design for Resource Bounded

The theory of mechanism design deals with the design of protocols for non-cooperative multi-agent systems. A major task of this theory is the design of protocols that will maximize the social welfare of the agents. An ideal mechanism will optimize social welfare and will be strategy-proof, i.e. the dominant strategy of each agent will be to participate in the mechanism and to reveal his true goal and worth, as well as budget-balanced, i.e., the mechanism should not impose any payments from the center/organizer to the agents. Indeed, the Clarke’s mechanism, which is central to information economics and to games with incomplete information satisfies these properties. However, we show that the Clarke’s mechanism employs the use of procedures for optimizing social welfare, which are NP-hard. Hence, these procedures should be replaced by heuristics. We present a set of natural properties (axioms) of such heuristics that, when satisfied, enable to obtain the desired strategy-proofness and budget balance properties. Our result enables to extend the central protocol of the theory of mechanism design to the context of resource-bounded agents.

[1]  Sarit Kraus,et al.  Negotiation and Cooperation in Multi-Agent Environments , 1997, Artif. Intell..

[2]  T. Sandholm Limitations of the Vickrey Auction in Computational Multiagent Systems , 1996 .

[3]  Craig Boutilier,et al.  Economic Principles of Multi-Agent Systems , 1997, Artif. Intell..

[4]  Victor R. Lesser,et al.  Equilibrium Analysis of the Possibilities of Unenforced Exchange in Multiagent Systems , 1995, IJCAI.

[5]  Eithan Ephrati,et al.  Deriving Consensus in Multiagent Systems , 1996, Artif. Intell..

[6]  Victor R. Lesser,et al.  Coalitions Among Computationally Bounded Agents , 1997, Artif. Intell..

[7]  Alan H. Bond,et al.  Readings in Distributed Artificial Intelligence , 1988 .

[8]  Edmund H. Durfee,et al.  What Your Computer Really Needs to Know, You Learned in Kindergarten , 1992, AAAI.

[9]  Michael P. Wellman A Market-Oriented Programming Environment and its Application to Distributed Multicommodity Flow Problems , 1993, J. Artif. Intell. Res..

[10]  David M. Kreps,et al.  A Course in Microeconomic Theory , 2020 .

[11]  Theodore Groves,et al.  Incentives in Teams , 1973 .

[12]  Hal R. Varian,et al.  Economic Mechanism Design for Computerized Agents , 1995, USENIX Workshop on Electronic Commerce.

[13]  Jeffrey S. Rosenschein and Gilad Zlotkin Rules of Encounter , 1994 .

[14]  Jerry R. Green,et al.  Incentives in public decision-making , 1979 .

[15]  E. H. Clarke Multipart pricing of public goods , 1971 .

[16]  Moshe Tennenholtz,et al.  Optimal auctions revisited , 1998, Artif. Intell..