Monotonicity and Egalitarianism (revision of CentER DP 2019-007)

This paper identifies the maximal domain of transferable utility games on which aggregate monotonicity (no player is worse o when the worth of the grand coalition increases) and egalitarian core selection (no other core allocation can be obtained by a transfer from a richer to a poorer player) are compatible. On this domain, which includes the class of large core games, we show that these two axioms characterize a unique solution which even satisfies coalitional monotonicity (no member is worse off when the worth of one coalition increases) and strong egalitarian core selection (no other core allocation can be obtained by transfers from richer to poorer players)

Consistency of the Equal Split-Off Set

This paper axiomatically studies the equal split-off set (cf. Branzei et al. (2006)) as a solution for cooperative games with transferable utility. This solution extends the well-known Dutta and Ray (1989) solution for convex games to arbitrary games. By deriving several characterizations, we explore the relation of the equal split-off set with various consistency notions

Consistency of the Equal Split-Off Set

This paper axiomatically studies the equal split-off set (cf. Branzei et al. (2006))as a solution for cooperative games with transferable utility. This solution extends the well-known Dutta and Ray (1989) solution for convex games to arbitrary games. By deriving several characterizations, we explore the relation of the equal split-off set with various consistency notions

Fair and consistent prize allocation in competitions

Given the final ranking of a competition, how should the total prize endowment be allocated among the competitors? We study consistent prize allocation rules satisfying elementary solidarity and fairness principles. In particular, we axiomatically characterize two families of rules satisfying anonymity, order preservation, and endowment monotonicity, which all fall between the Equal Division rule and the Winner-Takes-All rule. Specific characterizations of rules and subfamilies are directly obtained.Comment: 34 page

Stable streaming platforms:a cooperative game approach

Streaming platforms such as Spotify are popular media services where content creators may offer their content. Because these platforms operate in a highly competitive market, content creators may leave the platform and join elsewhere. This paper studies conditions under which content creators have no incentives to leave the platform and thus stability can be preserved. We introduce a stylized model for streaming platform situations and associate these situations with a cooperative game. We focus on the (non)emptiness of the core to analyze the stability of the streaming platforms. It turns out that both stable and unstable streaming platforms exist. We show that for streaming platforms operating in a market where users have completely opposite streaming behavior, stability cannot always be preserved. However, in markets where users are more similar in their streaming behavior, stability can be preserved. We further analyze the stability of streaming platforms by means of numerical experiments. Our results indicate that stability of streaming platforms generally is a delicate matter. Streaming platforms are more likely to be stable in markets where users are similar in their streaming behavior. To avoid that content creators leave the platform, it is therefore recommended to focus on particular market segments where these similarities occur.</p