Happiness in Plato’s Theory of Philosopher- King

Plato in Theory of Philosopher-King believes that all of the members of ideal city-state, whether ruler or citizens, will attain happiness if the philosopher is the ruler. But there are paradoxes in the theory and the bases of the happiness are unstable too. In other words, Plato in his theory presents hierarchical dualities (Intelligible/Visible world, Episteme/ Doxa,True/ Untrue Or Shadow, …) but is not bound to their necessities and tries to justify the (philosophical)theory by myth and allegory. Hence, happiness as an important and basic part of the theory has some problems and basically is not attainable.