Average options are path-dependent and have payoffs which depend on the average price over a fixed period leading up to the maturity date. This option is of interest and important for thinly-traded assets since price manipulation is prohibited, and both the investor and issuer may enjoy a...

It is getting a hard task to precisely express people's life today when people's senses of values have diversified in a short span of several years. In this paper, as a first step, we look at the past research and have a correct recognition of the situation before we make progress in our...

We introduce the class of anti-coordination games. A symmetric two-player game is said to have the anti-coordination property if, for any mixed strategy, any worst response to the mixed strategy is in the support of the mixed strategy. Every anti-coordination game has a unique symmetric Nash...