Proof systems and transformation games

Yoram Bachrach*, Michael Zuckerman, Michael Wooldridge, Jeffrey S. Rosenschein

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


We introduce Transformation Games (TGs), a form of coalitional game in which players are endowed with sets of initial resources, and have capabilities allowing them to derive certain output resources, given certain input resources. The aim of a TG is to generate a particular target resource; players achieve this by forming a coalition capable of performing a sequence of transformations from its combined set of initial resources to the target resource. After presenting the TG model, and discussing its interpretation, we consider possible restrictions on the transformation chain, resulting in different coalitional games. After presenting the basic model, we consider the computational complexity of several problems in TGs, such as testing whether a coalition wins, checking if a player is a dummy or a veto player, computing the core of the game, computing power indices, and checking the effects of possible restrictions on the coalition. Finally, we consider extensions to the model in which transformations have associated costs.

Original languageAmerican English
Title of host publicationMathematical Foundations of Computer Science 2010 - 35th International Symposium, MFCS 2010, Proceedings
Number of pages12
StatePublished - 2010
Event35th International Symposium on Mathematical Foundations of Computer Science, MFCS 2010 - Brno, Czech Republic
Duration: 23 Aug 201027 Aug 2010

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6281 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference35th International Symposium on Mathematical Foundations of Computer Science, MFCS 2010
Country/TerritoryCzech Republic


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