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We view achieving a particular correlated equilibrium distribution for a normal form game as an implementation problem …
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Faster population growth lowers steady-state utility per head in simple Ramsey and Solowian growth models. In overlapping generations models, however, it always raises utility per head in the steady state when money is the sole asset.
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Pillage games [Jordan, 2006, "Pillage and Property", JET] have two features that make them richer than cooperative games in either characteristic or partition function form: they allow power externalities between coalitions; they allow resources to contribute to coalitions' power as well as to...
Persistent link: https://www.econbiz.de/10010602481
Jordan [2006] defined ‘pillage games’, a class of cooperative games whose dominance operator represents a ‘power function’ constrained by monotonicity axioms. In this environment, he proved that stable sets must be finite. We bound their cardinality above by a Ramsey number and show this...
Persistent link: https://www.econbiz.de/10004972103
Jordan [2006, “Pillage and property”, JET] characterises stable sets for three special cases of ‘pillage games’. For anonymous, three agent pillage games we show that: when the core is non-empty, it must take one of five forms; all such pillage games with an empty core represent the same...
Persistent link: https://www.econbiz.de/10005007668
Jordan [2006] defined ‘pillage games’, a class of cooperative games whose dominance operator is represented by a ‘power function’ satisfying coalitional and resource monotonicity axioms. In this environment, he proved that stable sets must be finite. We use graph theory to reinterpret...
Persistent link: https://www.econbiz.de/10005012261
It is known that, in one-good pillage games, stable sets are finite. For m goods, it has been conjectured that the stable sets have measure zero. We introduce a class of sets, termed pseudo-indifference sets, which includes level sets of utility functions, quasi-indifference classes associated...
Persistent link: https://www.econbiz.de/10008577219
We study dominant strategy implementation in a variant of the canonical public good provision model, as proposed by … necessary and sufficient condition for dominant strategy implementation. When allowing for discontinuities in the mechanism, our …
Persistent link: https://www.econbiz.de/10008621758