Name
Abstract | ||
|---|---|---|
Simple games cover voting systems in which a single alterna- tive, such as a bill or an amendment, is pitted against the status quo. A simple game or a yes-no voting system is a set of rules that specifies ex- actly which collections of "yea" votes yield passage of the issue at hand. A collection of "yea" voters forms a winning coalition. We are interested on performing a complexity analysis of problems on such games depend- ing on the game representation. We consider four natural explicit rep- resentations, winning, loosing, minimal winning, and maximal loosing. We first analyze the computational complexity of obtaining a particu- lar representation of a simple game from a different one. We show that some cases this transformation can be done in polynomial time while the others require exponential time. The second question is classifying the complexity for testing whether a game is simple or weighted. We show that for the four types of representation both problem can be solved in polynomial time. Finally, we provide results on the complexity of testing whether a simple game or a weighted game is of a special type. In this way, we analyze strongness, properness, decisiveness and homogeneity, which are desirable properties to be fulfilled for a simple game. |
Year | Venue | Keywords |
|---|---|---|
2008 | Clinical Orthopaedics and Related Research | np-completeness.,simple/weighted/majority games,computational complexity,polynomial time |
Field | DocType | Volume |
Combinatorial game theory,Mathematical economics,Repeated game,Normal-form game,Sequential game,Screening game,Game tree,Mathematics,Game complexity,Extensive-form game | Journal | abs/0803.0 |
Citations | PageRank | References |
4 | 0.51 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Josep Freixas | 1 | 4 | 0.51 |
| Xavier Molinero | 2 | 133 | 15.58 |
| Martin Olsen | 3 | 74 | 11.99 |
| Maria J. Serna | 4 | 473 | 70.53 |