The Search for Coalition Formation in Costly Environments

We study the dynamics of forming coalitions of self-interested autonomous buyer agents, for the purpose of obtaining a volume discount. In our model, agents, representing coalitions of various sizes, may choose to be acquainted with other agents, hopefully ending up with a joint coalition structure, which will improve the overall price. Upon encountering potential partnering opportunities for extended coalitions, the agent needs to decide whether to accept or reject them. Each coalition partnership encapsulates expected benefit for the agent; however the process of finding a potential partner is associated with a cost. We explore the characteristics of the agent’s optimal strategies in the equilibrium and develop the equations from which these strategies can be derived. Efficient algorithms are suggested for a specific size-two variant of the problem, in order to demonstrate how each agent’s computation process can be significantly improved. These algorithms will be used as an infrastructure from which the general case algorithms can be extracted.

[1]  G. Becker.  Chapter Title: a Theory of Marriage a Theory of Marriage , 2022 .

[2]  Katia P. Sycara,et al.  Customer Coalitions in Electronic Markets , 2000, AMEC.

[3]  Carles Sierra,et al.  Agent-Mediated Electronic Commerce , 2004, Autonomous Agents and Multi-Agent Systems.

[4]  Onn Shehory,et al.  Coalition structure generation with worst case guarantees , 2022 .

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

[6]  Jeffrey O. Kephart,et al.  Shopbots and Pricebots , 1999, IJCAI.

[7]  Sandip Sen,et al.  Searching for optimal coalition structures , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[8]  Sarit Kraus,et al.  Methods for Task Allocation via Agent Coalition Formation , 1998, Artif. Intell..

[9]  Kristina Lerman,et al.  Coalition formation for large-scale electronic markets , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[10]  Lones Smith,et al.  The Marriage Model with Search Frictions , 1997 .

[11]  Katia P. Sycara,et al.  A stable and efficient buyer coalition formation scheme for e-marketplaces , 2001, AGENTS '01.

[12]  Edmund H. Durfee,et al.  An introduction to congregating in multi-agent systems , 2000, Proceedings Fourth International Conference on MultiAgent Systems.

[13]  Katia P. Sycara,et al.  Algorithm for combinatorial coalition formation and payoff division in an electronic marketplace , 2002, AAMAS '02.

[14]  K. Burdett,et al.  Two-Sided Search with Nontransferable Utility☆☆☆ , 1998 .