A switched linear quadratic（LQ） differential game over finite-horizon is investigated in this paper. The switching signal is regarded as a non-conventional player, afterwards the definition of Pareto efficiency is e...A switched linear quadratic（LQ） differential game over finite-horizon is investigated in this paper. The switching signal is regarded as a non-conventional player, afterwards the definition of Pareto efficiency is extended to dynamics switching situations to characterize the solutions of this multi-objective problem. Furthermore, the switched differential game is equivalently transformed into a family of parameterized single-objective optimal problems by introducing preference information and auxiliary variables. This transformation reduces the computing complexity such that the Pareto frontier of the switched LQ differential game can be constructed by dynamic programming. Finally, a numerical example is provided to illustrate the effectiveness.展开更多
This paper examines moral hazard problems in team setting. It is shown that there may exist budget balancing Nash equilibrium sharing rules that yield Pareto optimal (first best) efficiency provided that any of the f...This paper examines moral hazard problems in team setting. It is shown that there may exist budget balancing Nash equilibrium sharing rules that yield Pareto optimal (first best) efficiency provided that any of the following three conditions is satisfied: if peer pressure plays the role of mutual monitoring, or if agents over estimate the effects of their actions on jointed production, or if agents are sufficiently risk averse. The role played by the monitors in inducing first best efficiency is also discussed.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.61773098the 111 Project under Grant No.B16009
文摘A switched linear quadratic（LQ） differential game over finite-horizon is investigated in this paper. The switching signal is regarded as a non-conventional player, afterwards the definition of Pareto efficiency is extended to dynamics switching situations to characterize the solutions of this multi-objective problem. Furthermore, the switched differential game is equivalently transformed into a family of parameterized single-objective optimal problems by introducing preference information and auxiliary variables. This transformation reduces the computing complexity such that the Pareto frontier of the switched LQ differential game can be constructed by dynamic programming. Finally, a numerical example is provided to illustrate the effectiveness.
基金This research is supported by the post doctoral research foundation at the Amos Tuck School ofDartmouth College
文摘This paper examines moral hazard problems in team setting. It is shown that there may exist budget balancing Nash equilibrium sharing rules that yield Pareto optimal (first best) efficiency provided that any of the following three conditions is satisfied: if peer pressure plays the role of mutual monitoring, or if agents over estimate the effects of their actions on jointed production, or if agents are sufficiently risk averse. The role played by the monitors in inducing first best efficiency is also discussed.
