Mechanism design for dynamic double auctions

Cette thèse a pour objet de concevoir des mécanismes d'allocation dans le contexte des enchères doubles dynamiques (achats groupés, bourses électroniques). Le principal défi inhérent à la conception de tels mécanismes est d'aboutir à un résultat socialement optimal alors que la dynamique induit une incertitude sur les arrivées et départs des participants de l'enchère ainsi que sur les valuations qui peuvent être fluctuantes. Dans cette thèse, nous proposons des mécanismes qui sont efficaces, incitatifs et garantissant l'équilibre du budget. La définition de ces mécanismes s'appuient sur les algorithmes d'appareillage pour des graphes bipartis (technique d'augmentation et réduction) ainsi que sur une méthode générale prenant en compte le comportement des participants.This thesis addresses the problem of designing mechanisms that lead to socially desirable outcomes in dynamic double auction markets such as stock exchanges and group buying. The main challenge of the design is dealing with the uncertainty posed by the participants who are dynamically arriving and departing and their valuations vary over time. The thesis demonstrates the difficulties in designing mechanisms with desirable properties such as truthfulness, efficiency and budget balance. It also provides dedicated mechanisms satisfying those properties by using augmentation, reduction and behaviour-based approaches

Incentive-Compatible Selection for One or Two Influentials

Selecting influentials in networks against strategic manipulations has attracted many researchers' attention and it also has many practical applications. Here, we aim to select one or two influentials in terms of progeny (the influential power) and prevent agents from manipulating their edges (incentive compatibility). The existing studies mostly focused on selecting a single influential for this setting. Zhang et al. [2021] studied the problem of selecting one agent and proved an upper bound of 1/(1+ln2) to approximate the optimal selection. In this paper, we first design a mechanism to actually reach the bound. Then, we move this forward to choosing two agents and propose a mechanism to achieve an approximation ratio of (3+ln2)/(4(1+ln2)) (approx. 0.54).Comment: To Appear on IJCAI 202

Fault tolerant mechanism design for general task allocation

We study a general task allocation problem, involving multiple agents that collaboratively accomplish tasks and where agents may fail to successfully complete the tasks assigned to them (known as execution uncertainty). The goal is to choose an allocation that maximises social welfare while taking their execution uncertainty into account (i.e., fault tolerant). To achieve this, we show that the post-execution verification (PEV)-based mechanism presented by Porter et al. (2008) is applicable if and only if agents' valuations are risk-neutral (i.e., the solution is almost universal). We then consider a more advanced setting where an agent's execution uncertainty is not completely predictable by the agent alone but aggregated from all agents' private opinions (known as trust). We show that PEV-based mechanism with trust is still applicable if and only if the trust aggregation is multilinear. Given this characterisation, we further demonstrate how this mechanism can be successfully applied in a real-world setting. Finally, we draw the parallels between our results and the literature of efficient mechanism design with general interdependent valuations