Matchings in a market may have varying degrees of compromise from efficiency, fairness, and or stability. A distance function allows to quantify such concepts or the (dis)similarity between any two matchings. There are a few attempts to propose such functions, however these are tailored for...

This paper constructs a normative framework to quantify the difference (distance) between outcomes of market mechanisms in matching markets. We investigate the "cost of transformation" from one market mechanism to another, based on the differences in the outputs of these mechanisms, i.e., the...

This paper proposes a conceptual framework for the analysis of reward sharing schemes in mining pools, such as those associated with Bitcoin. The framework is centered around the reported shares in a pool instead of agents and results in two new fairness criteria, absolute and relative...

We investigate the recent fee mechanism EIP1559 of the Ethereum network. Whereas previous studies have focused on myopic miners, we here focus on strategic miners in the sense of miners being able to reason k-blocks ahead. We derive expressions for optimal miner behavior (in terms of setting...

A new type of Automated Market Makers (AMMs) powered by Blockchain technology keep liquidity on-chain and offer transparent price mechanisms. This innovation is a significant step in the direction of building a more transparent and efficient financial market. This paper explores analytically...

Auctioning an asset with sealed bids has been shown to be economically optimal but requires trusting an auctioneer who analyzes the bids and determines the winner. Many privacy preserving computation protocols for auctions have been proposed, aiming at eliminating the need for a trusted third...

This paper analyzes how to choose a delegation, a committee to represent a society such as in a peace conference. We propose normative conditions and seek optimal, consistent, neutral, and non-manipulable ways to choose a delegation. We show that a class of threshold rules are characterized by...

Domains of individual preferences for which the well-known impossibility Theorems of Gibbard-Satterthwaite and Muller-Satterthwaite do not hold are studied. First, we introduce necessary and sufficient conditions for a domain to admit non-dictatorial, Pareto efficient and either strategy-proof...

We consider voting rules on a multidimensional policy space for a continuum of voters with elliptic preferences. Assuming continuity, gamma -strategy-proofnessmeaning that coalitions of size smaller or equal to a small number gamma cannot manipulateand unanimity, we show that such rules are...