Aggregative Variational Inequalities

PHM von Mouche, F Szidarovszky - Journal of Optimization Theory and …, 2023 - Springer
We enrich the theory of variational inequalities in the case of an aggregative structure by
implementing recent results obtained by using the Selten–Szidarovszky technique. We …

Aggregative games with discontinuous payoffs at the origin

P von Mouche, F Szidarovszky - Mathematical Social Sciences, 2024 - Elsevier
Recently a framework was developed for aggregative variational inequalities by means of
the Selten–Szidarovszky technique. By referring to this framework, a powerful Nash …

Equilibrium uniqueness in aggregative games: very practical conditions

J Itaya, P von Mouche - Optimization Letters, 2022 - Springer
Various Nash equilibrium results for a broad class of aggregative games are presented. The
main ones concern equilibrium uniqueness. The setting presupposes that each player has R …

Cournot equilibrium uniqueness: at 0 discontinuous industry revenue and decreasing price flexibility

P Von Mouche, T Sato - International game theory review, 2019 - World Scientific
We consider the equilibrium uniqueness problem for a large class of Cournot oligopolies
with convex cost functions and a proper price function p ̃ with decreasing price flexibility …

The Continuous Hotelling Pure Location Game with Elastic Demand Revisited

P von Mouche - … Optimization Theory and Operations Research: 19th …, 2020 - Springer
The Hotelling pure location game has been revisited. It is assumed that there are two
identical players, strategy sets are one-dimensional, and demand as a function of distance is …

[PDF][PDF] CORRECTIONS AND SUPPLEMENTS

P Mouche - 2016 - pvmouche.deds.nl
3. Page 246, Assumption 8, replace by: For each multi-action xˆ of the other players, there
exists a right (left) neighbourhood of 0 (of Mj) where the function fj as a function of xj∈ Xj is …