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In this paper we show how theorems of Borsuk-Ulam and Tucker can be used to construct a consensus-halving: a division of an object into two portions so that each of n people believe the portions are equally split. Moreover, the division takes at most n cuts, which is best possible. This extends...
Persistent link: https://www.econbiz.de/10011569033
This paper analyses the temporal unit of egalitarian concern. In the intertemporal context, the differences between egalitarian views can be appreciated not only in inequality analysis but also as regards the ideal egalitarian distribution to be established. In this paper, three...
Persistent link: https://www.econbiz.de/10011596402
The relationships among the Hamiltonian, NNP, and the level of sustainable consumption/utility have been widely misunderstood. This paper dispels the misconceptions and provides further new insight into these relationships. We show generally that for autonomous dynamic optimizing economies, a...
Persistent link: https://www.econbiz.de/10011597010
can lead to a stronger competition for natural resources with the bioenergy production. The nexus among energy, food …
Persistent link: https://www.econbiz.de/10013000196
We revisit Machina's local utility as a tool to analyze attitudes to multivariate risks. Using martingale embedding techniques, we show that for non-expected utility maximizers choosing between multivariate prospects, aversion to multivariate mean preserving increases in risk is equivalent to...
Persistent link: https://www.econbiz.de/10013065811
Low probability catastrophic climate change can have a significant influence on policy under hyperbolic discounting. We compare the set of Markov Perfect Equilibria (MPE) to the optimal policy under time-consistent commitment. For some initial levels of risk there are multiple MPE; these may...
Persistent link: https://www.econbiz.de/10012731008
how conscious intentions and choices shape the allocation and utilization of resources. Furthermore, we delve into the … decision-making, resource allocation, and the interplay between conscious agents and the mechanical traces of the conscious …-making, representing the dynamic reconfigurations of matter within economic systems. Through the lens of econophysics, graph theory …
Persistent link: https://www.econbiz.de/10014349705
We revisit Machina's local utility as a tool to analyze attitudes to multivariate risks. Using martingale embedding techniques, we show that for non-expected utility maximizers choosing between multivariate prospects, aversion to multivariate mean preserving increases in risk is equivalent to...
Persistent link: https://www.econbiz.de/10014174282
an a priori evaluation of any given feasible resource allocation. The ratio provides a bound on the discrepancy between … this allocation and any other feasible allocation with respect to a large class of social welfare functions. We provide a …
Persistent link: https://www.econbiz.de/10014069383
We introduce a class of stochastic processes, which we refer to as Lyrebirds. These extend a class of stochastic processes, which have recently been coined as Peacocks, but are more commonly known as processes which are increasing in the convex order. We show how these processes arise naturally...
Persistent link: https://www.econbiz.de/10013023400