In game theory, the Helly metric is used to assess the distance between two strategies. It is named for Eduard Helly. Consider a game , between player I and II. Here, and are the sets of pure strategies for players I and II respectively; and is the payoff function. (in other words, if player I plays and player II plays , then player I pays to player II). The Helly metric is defined as The metric so defined is symmetric, reflexive, and satisfies the triangle inequality. If one stipulates that implies then the topology so induced is called the natural topology.
| Attributes | Values |
|---|
| rdfs:label
| - Métrica de Helly (es)
- Helly metric (en)
|
| rdfs:comment
| - In game theory, the Helly metric is used to assess the distance between two strategies. It is named for Eduard Helly. Consider a game , between player I and II. Here, and are the sets of pure strategies for players I and II respectively; and is the payoff function. (in other words, if player I plays and player II plays , then player I pays to player II). The Helly metric is defined as The metric so defined is symmetric, reflexive, and satisfies the triangle inequality. If one stipulates that implies then the topology so induced is called the natural topology. (en)
- En teoría de juegos, la métrica de Helly es utilizada para evaluar la distancia entre dos estretegias. Debe su nombre al matemático austríaco Eduard Helly. Considerado un juego entre los jugadores 1 y 2. Aquí, and son los conjuntos de estrategia pura para los jugadores 1 y 2 respectivamente; mientras que es la función de pago. Dicho de otra manera, si el jugador 1 juega y el jugador 2 juega , entonces el jugador 1 paga al jugador 2. La métrica de Helly se define como La métrica así definida es simétrica, reflexiva, y satisface la desigualdad triangular. (es)
|
| dct:subject
| |
| Wikipage page ID
| |
| Wikipage revision ID
| |
| Link from a Wikipage to another Wikipage
| |
| sameAs
| |
| dbp:wikiPageUsesTemplate
| |
| has abstract
| - En teoría de juegos, la métrica de Helly es utilizada para evaluar la distancia entre dos estretegias. Debe su nombre al matemático austríaco Eduard Helly. Considerado un juego entre los jugadores 1 y 2. Aquí, and son los conjuntos de estrategia pura para los jugadores 1 y 2 respectivamente; mientras que es la función de pago. Dicho de otra manera, si el jugador 1 juega y el jugador 2 juega , entonces el jugador 1 paga al jugador 2. La métrica de Helly se define como La métrica así definida es simétrica, reflexiva, y satisface la desigualdad triangular. La métrica de Helly mide distancias entre estrategias, no en términos de diferencias entre las estrategias mismas, si no en términos de las consecuencias de las estrategias. Dos estrategias son distantes si sus pagos son diferentes. Nótese que no incluye , pero sí incluye que las consecuencias de y son idénticas; y de hecho esto induce una relación de equivalencia. Si uno estipula que implica , entonces la topología así inducida es llamada topología natural. La métrica en el espacio de las estrategias del jugador 2 son análogas: Nótese que define dos métricas de Helly: una para cada espacio de estrategia de cada jugador. (es)
- In game theory, the Helly metric is used to assess the distance between two strategies. It is named for Eduard Helly. Consider a game , between player I and II. Here, and are the sets of pure strategies for players I and II respectively; and is the payoff function. (in other words, if player I plays and player II plays , then player I pays to player II). The Helly metric is defined as The metric so defined is symmetric, reflexive, and satisfies the triangle inequality. The Helly metric measures distances between strategies, not in terms of the differences between the strategies themselves, but in terms of the consequences of the strategies. Two strategies are distant if their payoffs are different. Note that does not imply but it does imply that the consequences of and are identical; and indeed this induces an equivalence relation. If one stipulates that implies then the topology so induced is called the natural topology. The metric on the space of player II's strategies is analogous: Note that thus defines two Helly metrics: one for each player's strategy space. (en)
|
| prov:wasDerivedFrom
| |
| page length (characters) of wiki page
| |
| foaf:isPrimaryTopicOf
| |
| is Link from a Wikipage to another Wikipage
of | |
| is known for
of | |
| is known for
of | |
| is foaf:primaryTopic
of | |
![[RDF Data]](/fct/images/sw-rdf-blue.png)
![[cxml]](/fct/images/cxml_doc.png)
![[csv]](/fct/images/csv_doc.png)
![[text]](/fct/images/ntriples_doc.png)
![[turtle]](/fct/images/n3turtle_doc.png)
![[ld+json]](/fct/images/jsonld_doc.png)
![[rdf+json]](/fct/images/json_doc.png)
![[rdf+xml]](/fct/images/xml_doc.png)
![[atom+xml]](/fct/images/atom_doc.png)
![[html]](/fct/images/html_doc.png)