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Ikki kishilik nol yig'indisi o'yinining qo'llanilishi nima?
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| bet | 1/3 | | Sana | 25.03.2024 | | Hajmi | 18.61 Kb. | | #176774 |
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Ikki kishilik nol yig'indisi o'yinining qo'llanilishi nima?
2 kishilik 0 so'mlik o'yin o'yin nazariyasidagi asosiy modeldir. Ikkita o'yinchi bor, ularning har biri o'ziga xos strategiyalar to'plamiga ega. Bir o'yinchi o'z daromadini maksimal darajada oshirishni maqsad qilgan bo'lsa, boshqa o'yinchi ushbu to'lovni kamaytirish uchun harakat qilishga harakat qiladi. Darhaqiqat, o'yinchining yutug'i boshqasining yo'qotishidir.
Two-person zero-sum game
A game played by two opponents with strictly opposite interests. This means, formally, that on passing from one game situation to another, an increase in the pay-off of one player results in a numerically equal decrease in the pay-off of the other, so that in any situation the sum of the pay-offs of the players is constant (this sum may be considered as zero, since the pay-off of one player is equal to the loss of the other). For this reason two-person zero-sum games are also called two-person games with zero sum, or antagonistic games. The mathematical concept of a two-person zero-sum game — pay-off functions which are numerically equal and opposite in sign — is a formal concept, which differs from the corresponding philosophical concept. If, in a two-person zero-sum game, one of the players manages to increase his pay-off by a definite amount of money as a result of agreements and negotiations, his opponent will have lost an equal sum. Consequently, any agreement would be disadvantageous to one of the players, and therefore impossible. Real conflict situations, which may be adequately modelled by two-person zero-sum games, are some (but not all) military operations, sport matches and parlour games, as well as situations which involve bilateral decision making under strict competition. Games played against nature and, in general, decision making under uncertainty conditions (cf. Statistical game) may be regarded as two-person zero-sum games if it is assumed that the real laws of nature, which are unknown to the player, will produce effects least favourable to the player.
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