This paper considers a competing inventory model 
with partial re-allocation over the unit interval. 
The model is described as follows: There are two 
retailers which handle the same kind of products. 
They open their stores at the both ends of the 
street with unit distance. Customers are uniformly 
distributed over the street. Though they are willing 
to purchase one of products at first, they may give 
up purchasing it on their way. Under this situation, 
each retailer is planning to minimize the sum of 
costs related with holding inventory, shortages and 
profits. The purpose of each retailer is to decide 
his order quantity. This model constructs a variation 
of the unit square games with pure strategies of 
continuous cardinary. We examine the optimal 
strategies for two players from the view point of 
non-zero sum game theory. We are interested in 
equilibrium analysis giving the optimal strategies.