Competitive Outcomes and the Inner Core of NTU Market Games
AbstractWe consider the inner core as a solution concept for cooperative games with non-transferable utility (NTU) and its relationship to competitive equilibria of markets that are induced by an NTU game. We investigate the relationship between certain subsets of the inner core for NTU market games and competitive payoff vectors of markets linked to the NTU market game. This can be considered as the case in between the two extreme cases of Qin (1993). We extend the results of Qin (1993) to a large class of closed subsets of the inner core: Given an NTU market game we construct a market depending on a given closed subset of its inner core. This market represents the game and further has the given set as the set of payoffs of competitive equilibria. It turns out that this market is not determined uniquely and thus we obtain a class of markets with the desired property.
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Bibliographic InfoPaper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 449.
Length: 42 pages
Date of creation: Jun 2011
Date of revision:
Market Games; Competitive Payoffs; Inner Core;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
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- DE CLIPPEL, Geoffroy & MINELLI, Enrico, 2002.
"Two remarks on the inner core,"
CORE Discussion Papers
2002001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Sonja Brangewitz & Jan-Philip Gamp, 2011. "Competitive Outcomes and the Core of TU Market Games," Working Papers 454, Bielefeld University, Center for Mathematical Economics.
- Sonja Brangewitz & Jan-Philip Gamp, 2011. "Inner Core, Asymmetric Nash Bargaining Solutions and Competitive Payoffs," Working Papers 453, Bielefeld University, Center for Mathematical Economics.
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