Abstract:Versioning strategy is widely applied in information product pricing，and is more preferable in the presence of network externality． The paper explores the versioning strategy based on the assumption of two dimensions of consumers’heterogeneity in valuation for the product and network effect． By comparing the three strategies of non-versioning，versioning strategy with and without free low-end version，the paper shows that versioning is superior to one-version strategy，and that versioning without free low-end version is more profitable than the counterpart with free version． In the context of versioning strategy，the profit increases with the quality difference． The paper shows that the versioning strategy with no free low-end version is more profitable than the strategy with free version in the presence of positive and negative network externality，whereas the non-versioning strategy is optimal if the negative network effect dominates the market．

Abstract:Combining the two-sided platform and complex networks theory，a diffusion model was proposed to describe the coupled dynamics of a third-party platform spreading on buyers’social network and sellers’competition network respectively． In the model，the probability of buyers adopting the new payment platform is the function of three variables，including platform service quality，the ratio of neighbors in their social network adopted the new payment platform，and the number of sellers who also adopted the new payment platform; likewise，the probability of sellers adopting the new payment platform is the function of three variables，including platform service quality，the ratio of neighbors in their competition network adopted the new payment platform，and the number of buyers who also adopted the new payment platform; the statistical mechanics method was applied to developing differential equation groups to describe the diffusion process of the new payment platform on buyers’social network and sellers’competition network respectively; the coupled diffusion dynamics on those two networks has jointly characterized the diffusion process of the new payment platform in buyers’and sellers’communities simultaneously． In order to elaborate the utilizing method and framework value，this paper discussed the estimation method of model’s parameters and the research ideas of extending the proposed model so as to investigate diffusion strategies．

Abstract:It is assumed that travelers adjust route choices according to updated experience and guidance information from the Ｒeliable Path Searching System in the form of a travel time budget in degradable transport network．With the consideration of bounded rationality and reference dependency，we develop a descriptive dayto-day dynamic model of network flow in the framework of Cumulative Prospect Theory ( CPT) ． This model reveals how travelers learn，update and adjust their travel time budgets as well as route choices from day-to-day．The properties of the day-to-day dynamic model are then discussed，and a solution algorithm is proposed to solve the model． We then conduct numerical examples to illustrate its properties，and it was demonstrated that the day-to-day dynamics can quickly evolve to be convergent when the guidance information is relatively accurate ( with smaller prediction error) ． Furthermore，the convergence state of the day-to-day dynamic model is approximately identical to Wardrop user equilibrium． Such an understanding of complex travel behaviour has important implications on transportation planning and management．

Abstract:Shipment consolidation is widely applied by less-than-truckload carriers in stochastic demand environment．This paper studies collaboration among less-than-truckload carriers with stochastic demand under shipment consolidation policies，including time policy and quantity policy． Cost allocation problem of collaboration among less-than-truckload carriers is discussed under time policy and quantity policy，respectively． Cooperative game theory is applied to deriving cost allocations in the core． Furthermore，the choice of different shipment consolidation policies is discussed． The results show that customer service level is higher under time policy than that under quantity policy，while the total expected cost is less under quantity policy than that under time policy． It is also shown that collaboration among carriers not only reduces the cost of each carrier，but also enhances customer service level．

Abstract:Cross-selling emerges when complementary associations exist among products: A customer who has purchased a product may be willing to purchase another associated product with a certain probability; otherwise，the cross-selling opportunity of a stocked product can also dimish because of the shortage of its associated products． In this paper，a single-period multi-product centralized newsvendor model considering cross-selling and shortage penalty is formulated． The first-order necessary conditions and the upper and lower bounds of the optimal order quantity are given． For multiple newsvendors who make decisions individually and competitively，the newsvendor non-cooperative game of cross-selling product is modeled，which is proved supermodular．The first-order conditions，the uniqueness conditions and the bounds of the Nash equilibrium are developed．The difference between the decisions of the two models is presented and the analysis shows how the correlation of demand influences the expected profit． Finally，a computational study is conducted to observe the impacts of cross-selling，demand correlation，and shortage penalty on the order quantities and expected profits．

Abstract:The influence of heterogeneous selfish tasks (or agents) on the efficiency of single machine resources allocation is studied，in which regular tasks and non-regular tasks exist simultaneously． Hence，noncooperative game is introduced to modeling such problems，and orresponding Nash equilibrium schedule and Pareto schedule are defined． The relationship between two solution concepts is investigated and a sufficient and necessary condition is given to judge whether a Nash equilibrium schedule is a Pareto schedule or not． The Price of Anarchy of Pareto schedule which quantitatively measures the loss of the system’s global optimum is analyzed． The results reveal the conflict mechanism among resource users and resource providers，and explain the influence of heterogeneous selfish tasks ( or agents) on the efficiency of resources allocation．

Abstract:Downward jumps in asset prices can trigger gap risk of portfolio insurance; it is more realistic to incorporate the impact of downward jumps in pricing the rate of return guaranteed products and is of great importance to the institutions insuring the return guarantees． This study employs finite-activity Levy processes to model the price process of active asset and prices the CPPI-and TIPP-managed return guarantees． As a result of the piecewise property of the underlying portfolios，analytic results cannot be obtained． For illustrative purposes，analytical pricing formulae are obtained for the constant-mix strategy． Our numerical results suggest that，(1) The return guarantees are undervalued under the traditional GBM assumption; (2) The TIPP-managed return guarantee is less expensive than its CPPI counterpart; (3) The prices of the return guarantees managed both by CPPI and by TIPP are positively correlated with the multiple and the guarantee level，but independent of the volatility of the active asset price．

Abstract:Ｒecently，Chinese corporations are constantly disturbed by external and internal unexpected events，such as US financial crisis，European debt crisis，snow disasters and earthquakes，which make the asset values plummet in a short time and thus cause the high default rates of corporate loans． Obviously，the existing diffusion-process based default models can not illustrate this kind of jump risk． This paper tries to introduce the jump factor into the First-Passage time model and discusses how jump risk impacts on corporate default rates when the default threshold keeps constant or changes． In addition，this paper analyzes the asset structure of corporations，derives the non-linear relation between equity value and asset value and provides the methods estimating the parameters in the model．