2014- Reprints: Operations Research and Decisions

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Pricing, replenishment, and timing of selling in a market with heterogeneous customers, International Journal of Production Economics, 145, 672-682, 2013.
S. Anily and  R. Hassin  
(Reprint No. 299)

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We consider a deterministic pricing and replenishment model in which the retailer advertises a fixed price and the selling schedule, and customers can advance or delay their time of purchase incurring holding or shortage costs. We investigate the impact of heterogeneity in the customers' reservation prices. We show that the resulting optimal solution may be very different from that obtained when customers are homogeneous. We identify nine types of possible optimal sales strategies, and compute their profits. In particular, the solution may contain sales at several discrete points of time between consecutive replenishment epochs with no sales between them.

Sub-additive and homogenous of degree one games are totally balanced, Operations Research, 62, 788-793, 2014  
S. Anily and M. Haviv  
(Reprint No. 300)

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A cooperative game with transferable utility is said to be homogeneous of degree one if for any integer m, the value of cloning m times all players at any given coalition, leads to m times the value of the original coalition. We show that this property coupled with subadditivity, guarantees the nonemptyness of the core of the game and of all its subgames, namely, the game is totally balanced. Examples for games stemming from the areas of retailing and of facility location are given.

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