Francis Bloch’s research while affiliated with Paris 1 Panthéon-Sorbonne University and other places

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (30)


Targeting in Social Networks with Anonymized Information
  • Article

July 2023

·

10 Reads

·

3 Citations

Games and Economic Behavior

Francis Bloch

·

Shaden Shabayek



A monotone hierarchy
A regular monotone hierarchy
Centrality measures in networks
  • Article
  • Publisher preview available

April 2023

·

355 Reads

·

86 Citations

Social Choice and Welfare

We show that prominent centrality measures in network analysis are all based on additively separable and linear treatments of statistics that capture a node’s position in the network. This enables us to provide a taxonomy of centrality measures that distills them to varying on two dimensions: (i) which information they make use of about nodes’ positions, and (ii) how that information is weighted as a function of distance from the node in question. The three sorts of information about nodes’ positions that are usually used—which we refer to as “nodal statistics”—are the paths from a given node to other nodes, the walks from a given node to other nodes, and the geodesics between other nodes that include a given node. Using such statistics on nodes’ positions, we also characterize the types of trees such that centrality measures all agree, and we also discuss the properties that identify some path-based centrality measures.

View access options

Attack and interception in networks

January 2023

·

3 Reads

·

2 Citations

Theoretical Economics

This paper studies a game of attack and interception in a network where a single attacker chooses a target and a path, and each node chooses a level of protection. We show that the Nash equilibrium of the game exists and is unique. We characterize equilibrium attack paths and attack distributions as a function of the underlying network and target values. We show that adding a link or increasing the value of a target may harm the attacker—a comparative statics effect that is reminiscent of Braess's paradox in transportation economics. Finally, we contrast the Nash equilibrium with the equilibrium of a variant of the model: one where all nodes cooperate in interception.


Friend-Based Ranking

May 2022

·

8 Reads

·

4 Citations

American Economic Journal: Microeconomics

We analyze the design of a mechanism to extract a ranking of individuals according to a unidimensional characteristic, such as ability or need. Individuals, connected on a social network, only have local information about the ranking. We show that a planner can construct an ex post incentive compatible and efficient mechanism if and only if every pair of friends has a friend in common. We characterize the windmill network as the sparsest social network for which the planner can always construct a complete ranking. (JEL D11, D82, D83, D85, O12, Z13)


Profit-splitting rules and the taxation of multinational digital platforms

August 2021

·

99 Reads

·

10 Citations

International Tax and Public Finance

This paper analyzes the strategy of a monopolistic digital platform serving users from two jurisdictions with different corporate tax rates. We consider two profit-splitting rules, Separate Accounting and Formula Apportionment based on the number of users in the two jurisdictions. We show that, even in the absence of transfer pricing, the platform shifts profit from the high-tax to the low-tax jurisdiction exploiting network externalities under Separate Accounting and manipulating the apportionment key under Formula Apportionment. In order to shift profit, the platform distorts prices and quantities. Under Separate Accounting, the direction of the distortions depends on the sign of the externalities. We use a numerical simulation to show that the ranking of fiscal revenues under the two regimes differs in the two jurisdictions: The high-tax jurisdiction prefers Separate Accounting to Formula Apportionment, whereas the low-tax jurisdiction prefers Formula Apportionment to Separate Accounting.


Friend-Based Ranking in Practice

May 2021

·

6 Reads

·

4 Citations

AEA Papers and Proceedings

A planner aims to target individuals who exceed a threshold in a characteristic, such as wealth or ability. The individuals can rank their friends according to the characteristic. We study a strategy-proof mechanism for the planner to use the rankings for targeting. We discuss how the mechanism works in practice when the rankings may contain errors.


Friend-Based Ranking in Practice

January 2021

·

6 Reads

A planner aims to target individuals who exceed a threshold in a characteristic, such as wealth or ability. The individuals can rank their friends according to the characteristic. We study a strategy-proof mechanism for the planner to use the rankings for targeting. We discuss how the mechanism works in practice, when the rankings may contain errors.


A game of hide and seek in networks

November 2020

·

27 Reads

·

4 Citations

Journal of Economic Theory

We propose and study a strategic model of hiding in a network, where the network designer chooses the links and his position in the network facing the seeker who inspects and disrupts the network. We characterize optimal networks for the hider, as well as equilibrium hiding and seeking strategies on these networks. We show that optimal networks are either equivalent to cycles or variants of core-periphery networks where every node in the periphery is connected to a single node in the core.


Citations (17)


... In this linear-quadratic framework, the Nash equilibrium strategy is proportional to the players' Bonacich centrality, 2 and the key player is identified using the intercentrality measure. 3 This model and its extensions have inspired theoretical investigations (e.g., de Marti and Zenou, 2015;Bloch and Shabayek, 2023), as well as empirical studies concerning a variety of social and economic issues, such as crime (Ballester et al., 2010;Liu et al., 2012), education (Calvó-Armengol et al., 2009Hahn et al., 2015), R&D , and finance (Battiston et al., 2012;Cabrales et al., 2016;Demange, 2018). However, one common feature of these empirical studies is that they examine cases where a single external actor has a monopoly on targeting. ...

Reference:

Competing for Influence in Networks Through Strategic Targeting
Targeting in Social Networks with Anonymized Information
  • Citing Article
  • July 2023

Games and Economic Behavior

... Olckers and Walsh (2023) survey the literature on impartial mechanisms. In related settings, Bloch et al. (2023), Kattwinkel (2020), and Kattwinkel et al. (2022) consider mechanisms that are not necessarily impartial but which nevertheless provide the applicants with incentives for truthful reports; 13 for example, they allow for mechanisms where the grantmaker cross-checks reports across applicants or with external reviewers. ...

Selecting a Winner with External Referees
  • Citing Article
  • June 2023

Journal of Economic Theory

... In our model's framework, those existing models can be regarded as the best responses of followers (local agents) under myopic behavior in the absence of leader intervention. By applying concepts from existing equilibrium measures in network/spatial econometric models (Katz, 1953;Bonacich, 1987;LeSage, 2008;Bloch et al., 2023), we delineate how changes in a follower's characteristic lead to immediate adjustments in their own or other followers' activities (short-run impacts). Moreover, our model and the established SDPSE models can be interpreted alongside SVAR models, as discussed by Elhorst et al. (2021), who outline the commonalities and distinctions between spatial dynamic models and SVAR models. ...

Centrality measures in networks

Social Choice and Welfare

... In contrast, our ranking-based mechanisms works well for general models of peer information and even when there is only one slot to allocate, as long as agents are informationally small. Olckers (2021, 2022) and Baumann (2023) study models in which agents hold information about their neighbors' allocation values in a social network. Olckers (2021, 2022) assume that agents observe ordinal comparisons between their neighbors' values. ...

Friend-Based Ranking in Practice
  • Citing Article
  • May 2021

AEA Papers and Proceedings

... This is a good start and proves that change is necessary. Internationally, in order to address the above difficulties, the OECD launched a new work program in May 2019 to replace the permanent establishment rules with new contact points that are more suitable for the digital economy and define new profit split accounting rules [6,7]. At the same time, in order to put pressure on the platforms, some countries decided to unilaterally implement digital service taxes. ...

Profit-splitting rules and the taxation of multinational digital platforms

International Tax and Public Finance

... This restriction is reasonable as the deviation by S to level k has no impact on players with higher status. 5 Once we accept this property of the resulting hierarchies, the rest of the definition comes naturally. In words, a set of feasible hierarchies V is a weakly stable set if for any deviation from V by S to level k and any hierarchy that can result from this deviation, there is a further deviation by some coalition T to level k, and this latter deviation is credible in the sense that there are indeed weakly stable hierarchies in V that have T in level k and that can result after T 's deviation. ...

Farsighted stability with heterogeneous expectations
  • Citing Article
  • February 2020

Games and Economic Behavior

... Employees at a firm may exchange tasks, shifts, or equipment [Yu and Zhang, 2020]. University students exchange course schedules, while universities exchange students for semester-long exchange programs [Bloch et al., 2020]. Teams in professional sports leagues trade players' contract rights [Coreno and Balbuzanov, 2022]. ...

Matching through Institutions
  • Citing Article
  • May 2020

Games and Economic Behavior

... A two-level analysis of the network was used to confirm the findings (i.e., at the network level and node-level). Analyzing the position of the nodes also, provides an in-depth understanding of the network (Bloch, Dutta, et al., 2019;Jackson, 2010;Mesgari et al., 2015). Below some features of the network at the node level are highlighted. ...

Efficient partnership formation in networks

Theoretical Economics

... We note that although the SPCS and the vNM FSS do not coincide in the Prisoners' Dilemma problem, they do coincide in some other instances of two-person normal form games. For example, Bloch and van den Nouweland (2021) have proven that, for two-person normal form games, (i) if a strategy profile  is a Nash equilibrium that is not Pareto dominated by any other strategy profile, then {} is a singleton farsighted stable set (Corollary 4.9 therein), and (ii) if s Pareto dominates all other strategy profiles, then {} is a singleton farsighted stable set and it is also the unique farsighted stable set (Corollary 4.10 therein). Then, it can be shown that our Theorem 4.1 implies that in case (i), {} is also a singleton SPCS for -person normal form games, and that in case (ii), {} is also the unique SPCS for -person normal form games. ...

Farsighted Stability with Heterogeneous Expectations
  • Citing Article
  • January 2018

SSRN Electronic Journal