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Juego de adivinar el promedio de números entre 1-100

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Varios jugadores nombran números del 1 al 100. Un jugador gana un premio si su número está más cerca de dos tercios del promedio de todos los números nombrados. Se busca encontrar estrategias de equilibrio donde ningún jugador tenga incentivos para cambiar su número seleccionado.

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Cada uno de los n jugadores tiene que nombrar un nmero de {1, ..., 100}. Un jugador obtiene un premio si el nmero que nombra es el entero ms cercano a dos tercios del nmero promedio nombrado por todos los jugadores (o uno de los dos enteros ms cercanos, si dos enteros estn igualmente cerca). Fjate que es posible que nadie obtenga un premio o que varios jugadores obtengan premios. Encuentre sus equilibrios de Nash.

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Juego de adivinar el promedio de números entre 1-100

  • 1. Cada uno de los n jugadores tiene que nombrar un nmero de {1, ..., 100}. Un jugador obtiene un premio si el nmero que nombra es el entero ms cercano a dos tercios del nmero promedio nombrado por todos los jugadores (o uno de los dos enteros ms cercanos, si dos enteros estn igualmente cerca). Fjate que es posible que nadie obtenga un premio o que varios jugadores obtengan premios. Encuentre sus equilibrios de Nash.