# Participation and Interaction in Projects

Participation and Interaction in Projects: A Game-Theoretic Analysis

AuthorPolevoy, G. (TU Delft Algorithmics)

Witteveen, C. (promotor)

Jonker, C.M. (promotor)

de Weerdt, M.M. (copromotor)

2016-12-06

AbstractMuch of what agents (people, robots, etc.) do is dividing effort between several activities. In order to facilitate efficient divisions, we study contributions to such activities and advise on stable divisions that result in high socialwelfare. To this end, for each model (game), we find the Nash equilibria and their social welfare. A Nash equilibrium is division where no agent can increase her utility if the others do not change their behavior. The social welfare is defined as the sum of the utilities of all the agents. We concentrate on value-creating activities and on reciprocation (interactions where agents react on the previous actions). The value-creating activities model work projects, co-authoring articles, writing to Wikipedia, etc. We assume that all the agents who contribute to such an activity at least a predefined threshold share of the final value of the activity. Examples of reciprocation activities are politics and relationships with colleagues. We prove the actions stabilize around a limit value. Then, we assume that agentsstrategically set their own interaction habits and model this as a game. We finally analyze dividing own effort between several reciprocal interactions. We lay the foundation of realistic mathematical modeling and analysis of effortdivision between activities and provide advice about what the agents should do in order to maximize the personal and the social welfare.

SubjectGame theory

agent

Projects

Value creation

interaction

reciprocation

threshold

Nash-equilibrium

Efficiency

price of anarchy

price of stability

simulations

fictitious play

competition

interaction graph

Perron-Frobenius

978-94-6186-766-7

Bibliographical noteSIKS Dissertation Series No. 2016-49. The research reported in this thesis has been carried out under the auspices of SIKS, the Dutch Research School for Information and Knowledge Systems.

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