. . "Valore di Shapley"@it . . . . . . . . . "\u0412\u0435\u043A\u0442\u043E\u0440 \u0428\u0435\u043F\u043B\u0438 \u2014 \u043F\u0440\u0438\u043D\u0446\u0438\u043F \u043E\u043F\u0442\u0438\u043C\u0430\u043B\u044C\u043D\u043E\u0441\u0442\u0438 \u0440\u0430\u0441\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F \u0432\u044B\u0438\u0433\u0440\u044B\u0448\u0430 \u043C\u0435\u0436\u0434\u0443 \u0438\u0433\u0440\u043E\u043A\u0430\u043C\u0438 \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0442\u0435\u043E\u0440\u0438\u0438 \u043A\u043E\u043E\u043F\u0435\u0440\u0430\u0442\u0438\u0432\u043D\u044B\u0445 \u0438\u0433\u0440. \u041F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u044F\u0435\u0442 \u0441\u043E\u0431\u043E\u0439 \u0440\u0430\u0441\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0435, \u0432 \u043A\u043E\u0442\u043E\u0440\u043E\u043C \u0432\u044B\u0438\u0433\u0440\u044B\u0448 \u043A\u0430\u0436\u0434\u043E\u0433\u043E \u0438\u0433\u0440\u043E\u043A\u0430 \u0440\u0430\u0432\u0435\u043D \u0435\u0433\u043E \u0441\u0440\u0435\u0434\u043D\u0435\u043C\u0443 \u0432\u043A\u043B\u0430\u0434\u0443 \u0432 \u0431\u043B\u0430\u0433\u043E\u0441\u043E\u0441\u0442\u043E\u044F\u043D\u0438\u0435 \u0442\u043E\u0442\u0430\u043B\u044C\u043D\u043E\u0439 \u043A\u043E\u0430\u043B\u0438\u0446\u0438\u0438 \u043F\u0440\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u043D\u043E\u043C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u0435 \u0435\u0451 \u0444\u043E\u0440\u043C\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F. \u041D\u0430\u0437\u0432\u0430\u043D \u0432 \u0447\u0435\u0441\u0442\u044C \u0430\u043C\u0435\u0440\u0438\u043A\u0430\u043D\u0441\u043A\u043E\u0433\u043E \u044D\u043A\u043E\u043D\u043E\u043C\u0438\u0441\u0442\u0430 \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u041B\u043B\u043E\u0439\u0434\u0430 \u0428\u0435\u043F\u043B\u0438."@ru . . . . "Valeur de Shapley"@fr . . "The Shapley value is a solution concept in cooperative game theory. It was named in honor of Lloyd Shapley, who introduced it in 1951 and won the Nobel Memorial Prize in Economic Sciences for it in 2012. To each cooperative game it assigns a unique distribution (among the players) of a total surplus generated by the coalition of all players. The Shapley value is characterized by a collection of desirable properties. Hart (1989) provides a survey of the subject."@en . "Valor de Shapley"@es . . . "\u0412\u0435\u043A\u0442\u043E\u0440 \u0428\u0435\u043F\u043B\u0438 \u2014 \u043F\u0440\u0438\u043D\u0446\u0438\u043F \u043E\u043F\u0442\u0438\u043C\u0430\u043B\u044C\u043D\u043E\u0441\u0442\u0438 \u0440\u0430\u0441\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F \u0432\u044B\u0438\u0433\u0440\u044B\u0448\u0430 \u043C\u0435\u0436\u0434\u0443 \u0438\u0433\u0440\u043E\u043A\u0430\u043C\u0438 \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0442\u0435\u043E\u0440\u0438\u0438 \u043A\u043E\u043E\u043F\u0435\u0440\u0430\u0442\u0438\u0432\u043D\u044B\u0445 \u0438\u0433\u0440. \u041F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043B\u044F\u0435\u0442 \u0441\u043E\u0431\u043E\u0439 \u0440\u0430\u0441\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0435, \u0432 \u043A\u043E\u0442\u043E\u0440\u043E\u043C \u0432\u044B\u0438\u0433\u0440\u044B\u0448 \u043A\u0430\u0436\u0434\u043E\u0433\u043E \u0438\u0433\u0440\u043E\u043A\u0430 \u0440\u0430\u0432\u0435\u043D \u0435\u0433\u043E \u0441\u0440\u0435\u0434\u043D\u0435\u043C\u0443 \u0432\u043A\u043B\u0430\u0434\u0443 \u0432 \u0431\u043B\u0430\u0433\u043E\u0441\u043E\u0441\u0442\u043E\u044F\u043D\u0438\u0435 \u0442\u043E\u0442\u0430\u043B\u044C\u043D\u043E\u0439 \u043A\u043E\u0430\u043B\u0438\u0446\u0438\u0438 \u043F\u0440\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u043D\u043E\u043C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u0435 \u0435\u0451 \u0444\u043E\u0440\u043C\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F. \u041D\u0430\u0437\u0432\u0430\u043D \u0432 \u0447\u0435\u0441\u0442\u044C \u0430\u043C\u0435\u0440\u0438\u043A\u0430\u043D\u0441\u043A\u043E\u0433\u043E \u044D\u043A\u043E\u043D\u043E\u043C\u0438\u0441\u0442\u0430 \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u041B\u043B\u043E\u0439\u0434\u0430 \u0428\u0435\u043F\u043B\u0438."@ru . . . . . "En la teor\u00EDa de juegos, el valor de Shapley, nombrado en honor de Lloyd Shapley, quien lo introdujo en 1953, es un m\u00E9todo de distribuci\u00F3n de riquezas en la teor\u00EDa de juegos cooperativos.\u200B\u200B Para cada juego cooperativo se asigna un \u00FAnico reparto (entre los jugadores) del beneficio total generado por la coalici\u00F3n de todos los jugadores. El valor de Shapley se caracteriza por una colecci\u00F3n de propiedades deseables o axiomas que se describen a continuaci\u00F3n. Hart (1989) ofrece un an\u00E1lisis del tema.\u200B\u200B La configuraci\u00F3n es como sigue: una coalici\u00F3n de jugadores coopera, y obtiene una cierta ganancia general de la cooperaci\u00F3n. Dado que algunos jugadores pueden contribuir m\u00E1s a la coalici\u00F3n que otros o pueden poseer diferente poder de negociaci\u00F3n (por ejemplo, amenazando con destruir todo el excedente), \u00BFQu\u00E9 reparto final de los beneficios de la cooperaci\u00F3n entre los jugadores debemos esperar que surjan en cualquier juego en particular? O expresado de otra manera: \u00BFQu\u00E9 importancia tiene cada jugador para la cooperaci\u00F3n global, y qu\u00E9 recompensa puede \u00E9l o ella razonablemente esperar? El valor de Shapley ofrece una posible respuesta a esta pregunta."@es . "p/s084780"@en . . . . . . . . "The Shapley value is a solution concept in cooperative game theory. It was named in honor of Lloyd Shapley, who introduced it in 1951 and won the Nobel Memorial Prize in Economic Sciences for it in 2012. To each cooperative game it assigns a unique distribution (among the players) of a total surplus generated by the coalition of all players. The Shapley value is characterized by a collection of desirable properties. Hart (1989) provides a survey of the subject. The setup is as follows: a coalition of players cooperates, and obtains a certain overall gain from that cooperation. Since some players may contribute more to the coalition than others or may possess different bargaining power (for example threatening to destroy the whole surplus), what final distribution of generated surplus among the players should arise in any particular game? Or phrased differently: how important is each player to the overall cooperation, and what payoff can he or she reasonably expect? The Shapley value provides one possible answer to this question. For cost-sharing games with concave cost functions, the optimal cost-sharing rule that optimizes the price of anarchy, followed by the price of stability, is precisely the Shapley value cost-sharing rule. (A symmetrical statement is similarly valid for utility-sharing games with convex utility functions.) In mechanism design, this means that the Shapley value solution concept is optimal for these sets of games."@en . . . . . . "1106446867"^^ . . . . "Der Shapley-Wert (benannt nach Lloyd Shapley) ist ein punktwertiges L\u00F6sungs-Konzept aus der kooperativen Spieltheorie. Er gibt an, welche Auszahlung die Spieler in Abh\u00E4ngigkeit von einer Koalitionsfunktion erwarten k\u00F6nnen (positive Interpretation) oder erhalten sollten (normative Interpretation). Dem marginalen Beitrag kommt eine besondere Bedeutung zu. Dieser misst den Wertbeitrag eines Spielers zu einer Koalition, durch seinen Beitritt."@de . "En la teor\u00EDa de juegos, el valor de Shapley, nombrado en honor de Lloyd Shapley, quien lo introdujo en 1953, es un m\u00E9todo de distribuci\u00F3n de riquezas en la teor\u00EDa de juegos cooperativos.\u200B\u200B Para cada juego cooperativo se asigna un \u00FAnico reparto (entre los jugadores) del beneficio total generado por la coalici\u00F3n de todos los jugadores. El valor de Shapley se caracteriza por una colecci\u00F3n de propiedades deseables o axiomas que se describen a continuaci\u00F3n. Hart (1989) ofrece un an\u00E1lisis del tema.\u200B\u200B"@es . . . "Der Shapley-Wert (benannt nach Lloyd Shapley) ist ein punktwertiges L\u00F6sungs-Konzept aus der kooperativen Spieltheorie. Er gibt an, welche Auszahlung die Spieler in Abh\u00E4ngigkeit von einer Koalitionsfunktion erwarten k\u00F6nnen (positive Interpretation) oder erhalten sollten (normative Interpretation). Dem marginalen Beitrag kommt eine besondere Bedeutung zu. Dieser misst den Wertbeitrag eines Spielers zu einer Koalition, durch seinen Beitritt."@de . . . . . "Shapley value"@en . . . . "\u30B7\u30E3\u30FC\u30D7\u30EC\u30A4\u5024\uFF08\u30B7\u30E3\u30FC\u30D7\u30EC\u30A4\u3061\u3001\u82F1: Shapley value\uFF09\u3068\u306F\u3001\u30B2\u30FC\u30E0\u7406\u8AD6\u306B\u304A\u3044\u3066\u5354\u529B\u306B\u3088\u3063\u3066\u5F97\u3089\u308C\u305F\u5229\u5F97\u3092\u5404\u30D7\u30EC\u30A4\u30E4\u30FC\u3078\u516C\u6B63\u306B\u5206\u914D\u3059\u308B\u65B9\u6CD5\u306E\u4E00\u6848\u3067\u3042\u308B\u30021953\u5E74\u306E\u8AD6\u6587\u3067\u3053\u306E\u6982\u5FF5\u3092\u63D0\u793A\u3057\u305F\u30ED\u30A4\u30C9\u30FB\u30B7\u30E3\u30FC\u30D7\u30EC\u30FC\u306B\u7531\u6765\u3059\u308B\u540D\u79F0\u3067\u3042\u308B\u3002"@ja . . "\u30B7\u30E3\u30FC\u30D7\u30EC\u30A4\u5024\uFF08\u30B7\u30E3\u30FC\u30D7\u30EC\u30A4\u3061\u3001\u82F1: Shapley value\uFF09\u3068\u306F\u3001\u30B2\u30FC\u30E0\u7406\u8AD6\u306B\u304A\u3044\u3066\u5354\u529B\u306B\u3088\u3063\u3066\u5F97\u3089\u308C\u305F\u5229\u5F97\u3092\u5404\u30D7\u30EC\u30A4\u30E4\u30FC\u3078\u516C\u6B63\u306B\u5206\u914D\u3059\u308B\u65B9\u6CD5\u306E\u4E00\u6848\u3067\u3042\u308B\u30021953\u5E74\u306E\u8AD6\u6587\u3067\u3053\u306E\u6982\u5FF5\u3092\u63D0\u793A\u3057\u305F\u30ED\u30A4\u30C9\u30FB\u30B7\u30E3\u30FC\u30D7\u30EC\u30FC\u306B\u7531\u6765\u3059\u308B\u540D\u79F0\u3067\u3042\u308B\u3002"@ja . . "Shapley-Wert"@de . . . . "198965"^^ . "Il valore di Shapley (in inglese Shapley value) cos\u00EC chiamato in onore di Lloyd Stowell Shapley, \u00E8 un concetto di soluzione utilizzato per assegnare una ricompensa ad ogni giocatore presente in una coalizione, in funzione del contributo marginale che apporta ad essa. Siccome il contributo che un giocatore apporta alla coalizione varia in funzione dei giocatori presenti in essa, il valore di Shapley prende implicitamente in considerazione l'ordine con cui i giocatori si uniscono alla coalizione stessa."@it . . . "\u0412\u0435\u043A\u0442\u043E\u0440 \u0428\u0435\u043F\u043B\u0456 \u2014 \u043F\u0440\u0438\u043D\u0446\u0438\u043F \u043E\u043F\u0442\u0438\u043C\u0430\u043B\u044C\u043D\u043E\u0441\u0442\u0456 \u0440\u043E\u0437\u043F\u043E\u0434\u0456\u043B\u0443 \u0432\u0438\u0433\u0440\u0430\u0448\u0443 \u043C\u0456\u0436 \u0433\u0440\u0430\u0432\u0446\u044F\u043C\u0438 \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0442\u0435\u043E\u0440\u0456\u0457 \u043A\u043E\u043E\u043F\u0435\u0440\u0430\u0442\u0438\u0432\u043D\u0438\u0445 \u0456\u0433\u043E\u0440. \u042F\u0432\u043B\u044F\u0454 \u0441\u043E\u0431\u043E\u044E \u0440\u043E\u0437\u043F\u043E\u0434\u0456\u043B, \u0432 \u044F\u043A\u043E\u043C\u0443 \u0432\u0438\u0433\u0440\u0430\u0448 \u043A\u043E\u0436\u043D\u043E\u0433\u043E \u0433\u0440\u0430\u0432\u0446\u044F \u0434\u043E\u0440\u0456\u0432\u043D\u044E\u0454 \u0439\u043E\u0433\u043E \u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E\u043C\u0443 \u0432\u043A\u043B\u0430\u0434\u0443 \u0432 \u0432\u0438\u0433\u0440\u0430\u0448 \u0432\u0435\u043B\u0438\u043A\u043E\u0457 \u043A\u043E\u0430\u043B\u0456\u0446\u0456\u0457 \u043F\u0440\u0438 \u043F\u0435\u0432\u043D\u043E\u043C\u0443 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C\u0456 \u0457\u0457 \u0444\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F."@uk . . . "Shapley value"@en . "En th\u00E9orie des jeux, plus pr\u00E9cis\u00E9ment dans un jeu coop\u00E9ratif, la valeur de Shapley donne une r\u00E9partition \u00E9quitable des gains aux joueurs. Elle est nomm\u00E9e en honneur \u00E0 Lloyd Shapley qui introduit le concept en 1953."@fr . . . . . . . . "\u30B7\u30E3\u30FC\u30D7\u30EC\u30A4\u5024"@ja . "\u0412\u0435\u043A\u0442\u043E\u0440 \u0428\u0435\u043F\u043B\u0438"@ru . . . . "En th\u00E9orie des jeux, plus pr\u00E9cis\u00E9ment dans un jeu coop\u00E9ratif, la valeur de Shapley donne une r\u00E9partition \u00E9quitable des gains aux joueurs. Elle est nomm\u00E9e en honneur \u00E0 Lloyd Shapley qui introduit le concept en 1953."@fr . "Warto\u015B\u0107 Shapleya \u2013 poj\u0119cie z teorii gier, nazwane na cze\u015B\u0107 Lloyda Shapleya, kt\u00F3ry wymy\u015Bli\u0142 je w 1953 roku jako spos\u00F3b podzia\u0142u zysku pomi\u0119dzy graczami b\u0119d\u0105cymi w koalicji. Warto\u015B\u0107 ta jest okre\u015Blona jednoznacznie dla ka\u017Cdego gracza w przez odpowiedni\u0105 dystrybucj\u0119 ca\u0142o\u015Bci zysku z wielkiej koalicji, tj. koalicji z\u0142o\u017Conej ze wszystkich graczy, zachowuj\u0105c\u0105 pewne w\u0142asno\u015Bci. Intuicyjnie Warto\u015B\u0107 Shapleya okre\u015Bla, ile dany gracz powinien si\u0119 spodziewa\u0107 zysku z ca\u0142o\u015Bci, bior\u0105c pod uwag\u0119 to, jaki \u015Brednio ma wk\u0142ad w dowolnej koalicji."@pl . "\u0412\u0435\u043A\u0442\u043E\u0440 \u0428\u0435\u043F\u043B\u0456"@uk . . "Warto\u015B\u0107 Shapleya \u2013 poj\u0119cie z teorii gier, nazwane na cze\u015B\u0107 Lloyda Shapleya, kt\u00F3ry wymy\u015Bli\u0142 je w 1953 roku jako spos\u00F3b podzia\u0142u zysku pomi\u0119dzy graczami b\u0119d\u0105cymi w koalicji. Warto\u015B\u0107 ta jest okre\u015Blona jednoznacznie dla ka\u017Cdego gracza w przez odpowiedni\u0105 dystrybucj\u0119 ca\u0142o\u015Bci zysku z wielkiej koalicji, tj. koalicji z\u0142o\u017Conej ze wszystkich graczy, zachowuj\u0105c\u0105 pewne w\u0142asno\u015Bci. Intuicyjnie Warto\u015B\u0107 Shapleya okre\u015Bla, ile dany gracz powinien si\u0119 spodziewa\u0107 zysku z ca\u0142o\u015Bci, bior\u0105c pod uwag\u0119 to, jaki \u015Brednio ma wk\u0142ad w dowolnej koalicji."@pl . . . . . . . "\u0412\u0435\u043A\u0442\u043E\u0440 \u0428\u0435\u043F\u043B\u0456 \u2014 \u043F\u0440\u0438\u043D\u0446\u0438\u043F \u043E\u043F\u0442\u0438\u043C\u0430\u043B\u044C\u043D\u043E\u0441\u0442\u0456 \u0440\u043E\u0437\u043F\u043E\u0434\u0456\u043B\u0443 \u0432\u0438\u0433\u0440\u0430\u0448\u0443 \u043C\u0456\u0436 \u0433\u0440\u0430\u0432\u0446\u044F\u043C\u0438 \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0442\u0435\u043E\u0440\u0456\u0457 \u043A\u043E\u043E\u043F\u0435\u0440\u0430\u0442\u0438\u0432\u043D\u0438\u0445 \u0456\u0433\u043E\u0440. \u042F\u0432\u043B\u044F\u0454 \u0441\u043E\u0431\u043E\u044E \u0440\u043E\u0437\u043F\u043E\u0434\u0456\u043B, \u0432 \u044F\u043A\u043E\u043C\u0443 \u0432\u0438\u0433\u0440\u0430\u0448 \u043A\u043E\u0436\u043D\u043E\u0433\u043E \u0433\u0440\u0430\u0432\u0446\u044F \u0434\u043E\u0440\u0456\u0432\u043D\u044E\u0454 \u0439\u043E\u0433\u043E \u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E\u043C\u0443 \u0432\u043A\u043B\u0430\u0434\u0443 \u0432 \u0432\u0438\u0433\u0440\u0430\u0448 \u0432\u0435\u043B\u0438\u043A\u043E\u0457 \u043A\u043E\u0430\u043B\u0456\u0446\u0456\u0457 \u043F\u0440\u0438 \u043F\u0435\u0432\u043D\u043E\u043C\u0443 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C\u0456 \u0457\u0457 \u0444\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F."@uk . . "25629"^^ . . . "Il valore di Shapley (in inglese Shapley value) cos\u00EC chiamato in onore di Lloyd Stowell Shapley, \u00E8 un concetto di soluzione utilizzato per assegnare una ricompensa ad ogni giocatore presente in una coalizione, in funzione del contributo marginale che apporta ad essa. Siccome il contributo che un giocatore apporta alla coalizione varia in funzione dei giocatori presenti in essa, il valore di Shapley prende implicitamente in considerazione l'ordine con cui i giocatori si uniscono alla coalizione stessa."@it . . . "Warto\u015B\u0107 Shapleya"@pl .