Matches in SemOpenAlex for { <https://semopenalex.org/work/W4249675032> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4249675032 abstract "A tractable method of solving two-person games defined on a product of staircase-function spaces is presented. The spaces can be finite and continuous as well. The method is based on stacking equilibria of “short” two-person games, each defined on an interval where the pure strategy value is constant. First, a two-person game is formalized, in which the players’ strategies are staircase functions. In such a game, the set of the player’s pure strategies is a continuum of staircase functions of time. The time can be thought of as it is discrete. The four theorems allowing to fulfill the stacking are proved for the case of pure-strategy equilibria. Second, the set of possible values of the player’s pure strategy is discretized so that the game becomes defined on a product of staircase-function finite spaces. To formalize a method of solving two-person games defined on a product of staircase-function finite spaces, it is then proved that the game is solved as a stack of respective equilibria in the “short” bimatrix games. The equilibria in this case are considered in general terms, so they can be in mixed strategies as well. The stack is any combination (succession) of the respective equilibria of the “short” bimatrix games. Apart from the stack, there are no other equilibria in this “long” bimatrix game. The stack is always possible, even when only time is discrete (and the set of pure strategy possible values is continuous). An example is presented to show how the stacking is fulfilled for a case of when every “short” bimatrix game has a single pure-strategy equilibrium. The presented method, further “breaking” the initial (“long”) game defined on a product of staircase-function finite spaces, makes it completely tractable." @default.
- W4249675032 created "2022-05-12" @default.
- W4249675032 creator A5078833401 @default.
- W4249675032 date "2021-01-01" @default.
- W4249675032 modified "2023-09-30" @default.
- W4249675032 title "Ігри двох осіб на добутку неперервних і скінченних просторів сходинкових функцій" @default.
- W4249675032 doi "https://doi.org/10.30970/vam.2021.29.11117" @default.
- W4249675032 hasPublicationYear "2021" @default.
- W4249675032 type Work @default.
- W4249675032 citedByCount "0" @default.
- W4249675032 crossrefType "journal-article" @default.
- W4249675032 hasAuthorship W4249675032A5078833401 @default.
- W4249675032 hasBestOaLocation W42496750321 @default.
- W4249675032 hasConcept C114614502 @default.
- W4249675032 hasConcept C134306372 @default.
- W4249675032 hasConcept C14036430 @default.
- W4249675032 hasConcept C144237770 @default.
- W4249675032 hasConcept C162392398 @default.
- W4249675032 hasConcept C177264268 @default.
- W4249675032 hasConcept C199360897 @default.
- W4249675032 hasConcept C2524010 @default.
- W4249675032 hasConcept C2777027219 @default.
- W4249675032 hasConcept C2778067643 @default.
- W4249675032 hasConcept C33923547 @default.
- W4249675032 hasConcept C41008148 @default.
- W4249675032 hasConcept C73000952 @default.
- W4249675032 hasConcept C78458016 @default.
- W4249675032 hasConcept C86803240 @default.
- W4249675032 hasConcept C90673727 @default.
- W4249675032 hasConceptScore W4249675032C114614502 @default.
- W4249675032 hasConceptScore W4249675032C134306372 @default.
- W4249675032 hasConceptScore W4249675032C14036430 @default.
- W4249675032 hasConceptScore W4249675032C144237770 @default.
- W4249675032 hasConceptScore W4249675032C162392398 @default.
- W4249675032 hasConceptScore W4249675032C177264268 @default.
- W4249675032 hasConceptScore W4249675032C199360897 @default.
- W4249675032 hasConceptScore W4249675032C2524010 @default.
- W4249675032 hasConceptScore W4249675032C2777027219 @default.
- W4249675032 hasConceptScore W4249675032C2778067643 @default.
- W4249675032 hasConceptScore W4249675032C33923547 @default.
- W4249675032 hasConceptScore W4249675032C41008148 @default.
- W4249675032 hasConceptScore W4249675032C73000952 @default.
- W4249675032 hasConceptScore W4249675032C78458016 @default.
- W4249675032 hasConceptScore W4249675032C86803240 @default.
- W4249675032 hasConceptScore W4249675032C90673727 @default.
- W4249675032 hasLocation W42496750321 @default.
- W4249675032 hasOpenAccess W4249675032 @default.
- W4249675032 hasPrimaryLocation W42496750321 @default.
- W4249675032 hasRelatedWork W15810535 @default.
- W4249675032 hasRelatedWork W18170859 @default.
- W4249675032 hasRelatedWork W19200510 @default.
- W4249675032 hasRelatedWork W25543786 @default.
- W4249675032 hasRelatedWork W25939608 @default.
- W4249675032 hasRelatedWork W2914234 @default.
- W4249675032 hasRelatedWork W37402239 @default.
- W4249675032 hasRelatedWork W40418771 @default.
- W4249675032 hasRelatedWork W5220698 @default.
- W4249675032 hasRelatedWork W548811 @default.
- W4249675032 isParatext "false" @default.
- W4249675032 isRetracted "false" @default.
- W4249675032 workType "article" @default.