In this work we address a game theoretic variant of the Subset Sum problem, in which two decision makers (agents/players) compete for the usage of a common resource represented by a knapsack capacity. Each agent owns a set of integer weighted items and wants to maximize the total weight of its own items included in the knapsack. The solution is built as follows: Each agent, in turn, selects one...

إ ةيرهجملا جماربلا لمشي اذهو ،ةيرورملا ةآرحلا ةاآاحم جمارب روطت يف مهاس ةيتامولعملا ايجولونكتلا يف ريبكلا مدقتلا ن ) Microscopic ( ، نلا ىلع بلطلا ةاآاحم اًضيأ لمشي نايحلأا ضعب يفو ، تاعطاقتو قرط نم اهيف امب لقنلا ةموظنم ةاآاحمب حمسيل يللآا بساحلا تاقيبطت قاطنو لق . ةيرهجملا ةيرورملا ةآرحلا ةاآاحم جمارب نيب نراقتو عجارت ةقرولا هذهو ) Microscopic ( ةيلومشلاو ) Macroscopic ( فلاتخلاا هجوأ ىلع ةزآر...

In this paper, with help of the concept of hyper-rationality, we model the interaction between two investment companies by an important game as trickery game that has special equilibrium which called hyper-equilibrium. In trickery game, one company can choose cooperation with another company until the last moment and finally changes his action to non-cooperation which incur more loss to an oppo...

Game theory is a huge area of mathematical (and economical) research. We restrict ourselves mainly to two person zero-sum games, in which you make a decision and your opponent makes a decision (no cooperation allowed!), and your winnings equal your opponents loss. The main result is the so-called minimax theorem. Essentially, game theory is about playing against a (possibly) better player and e...

We study the equilibrium outcomes of two-person bargaining problems in which each party has “outside option” known only to himself. We examin two game forms, a sequential-move game and a simulteneous-move game. In this context we discuss the failure to reach agreements and the loss of efficiency thereof. Invoking the analogy between the sequentialmove game and the familiar ultimatum game we als...

با توجه به رشد بالای جمعیت در جهان و نیاز اطمینان از امنیت غذایی، افزایش تولید واحد سطح محصولات زراعی به‌منزلة راهبردی اساسی حل مسئلة تأمین غذا به‌شمار می‌رود. سوی دیگر، وجود محدودیت زیرکشت پایین‌بودن میانگین عملکرد برخی کشاورزی مانند گندم کشور، محصول می‌تواند راهکاری عملی پاسخ کشور محسوب شود. یکی مهم‌ترین بیماری‌های فوزاریوم است که، نقش پیش‌بینی این بیماری جلوگیری کاهش بهره‌وری محصول، مدل‌هایی...

Given any $$\alpha \in [0,1]$$ , an $$ -constant-sum game (abbreviated as -CS game) on a finite set of players, N, is function that assigns real number to coalition $$S\subseteq N$$ such the sum worth S and its complementary $$N\backslash S$$ times grand coalition. This class contains constant-sum games Khmelnitskaya (Int J Game Theory 32:223–227, 2003) (for = 1$$ ) threats (Kohlberg Neyman, Ga...

The Central Bank of Iran banned online currency trading through Forex brokers in November 2016. However, some Iranian speculators still trade in the online Forex market. Is this prohibition on Forex trading reasonable? According to reports, the majority of Forex day traders fail and leave the market within six months to a year. Some scholars attribute this failure to the changeable characterist...