Abstract
In budget games, players compete over resources with finite budgets. For every resource, a player has a specific demand and as a strategy, he chooses a subset of resources. If the total demand on a resource does not exceed its budget, the utility of each player who chose that resource equals his demand. Otherwise, the budget is shared proportionally. In the general case, pure Nash equilibria (NE) do not exist for such games. In this paper, we consider the natural classes of singleton and matroid budget games with additional constraints and show that for each, pure NE can be guaranteed. In addition, we introduce a lexicographical potential function to prove that every matroid budget game has an approximate pure NE which depends on the largest ratio between the different demands of each individual player.
Original language | English |
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Pages | 175 |
Number of pages | 187 |
DOIs | |
Publication status | Published - 1 Jul 2017 |
Event | 24th International Conference on Computing and Combinatorics, COCOON 2018 - Qingdao, China Duration: 2 Jul 2018 → 4 Jul 2018 Conference number: 24 |
Conference
Conference | 24th International Conference on Computing and Combinatorics, COCOON 2018 |
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Abbreviated title | COCOON 2018 |
Country/Territory | China |
City | Qingdao |
Period | 2/07/18 → 4/07/18 |