We study the problem of identifying prices to support a given allocation of items to bidders in an envy-free way. A bidder will envy another bidder if she would prefer to obtain the other bidder’s item at the price paid by that bidder. Envy-free prices for allocations have been studied extensively; here, we focus on the impact of budgets: beyond their willingness to pay for items, bidders are a...

Envy-freeness is a well-known fairness concept for analyzing mechanisms. Its traditional definition requires that no individual envies another individual. However, an individual (or a group of agents) may envy another group, even if she (or they) does not envy another individual. In mechanisms with monetary transfer, such as combinatorial auctions, considering such fairness requirements, which ...

This article is concerned with the physicality of envy in early modernand eighteenth-century health contexts. The discussion brings together descriptions of the effects of envy on the body of the envier, mainly from works of physiology and health preservation, but also from literary and spiritual writings. These depictions of envy are studied beyond their symbolism and with a view to establish ...

This paper studies envy-free allocations for economies with indivisible objects, quasilinear utility functions, and an amount of money. We give a polynomially bounded algorithm for finding envy-free allocations. Connectedness of envy-graphs, which are used in the algorithm, characterizes the extreme points of the polytopes of sidepayments corresponding with envy-free allocations. Classification...

Facing a protagonist's emotional mental state can trigger social emotions (or 'fortune of others' emotion), such as envy or gloating, which reflect one's assessment of the consequences of the other's fortune. Here we suggest that these social emotions are mediated by the mentalizing network. The present article explores the notion that the understanding of social competitive emotions is particu...