Production in advance versus production to order: Equilibrium and social surplus

We determine a symmetric mixed-strategy equilibrium of the production-in-advance type symmetric capacity-constrained Bertrand-Edgeworth duopoly game for the most challenging case of intermediate capacities, which was unknown so far. Based on the obtained equilibrium we show that economic surplus within the production-to-order type environment is higher than in the respective production-in-advance type one, and therefore production-to-order should be preferred to production-in-advance if the mode of production can be influenced by the government.