, we show the concept of equilibrium with dividends (See Aumann and Dreze (1986), Mas-Collel (1992)) is pertinent only when … from the fact that in decentralized markets, increasing the incomes of consumers through dividends, if it is possible, is …

, we show the concept of equilibrium with dividends (See Aumann and Dreze (1986), Mas-Collel (1992)) is pertinent only when … from the fact that in decentralized markets, increasing the incomes of consumers through dividends, if it is possible, is …

the premium received by unit of time, or by a lost of dividends for the shareholders if the other line of business is … as they receive part of the dividends. In this paper, we focus on a particular line of business, and provide an … approximation for expected time to ruin, and the expected amounts of dividends paid to the shareholders, and used to pay penalty due …