Bennett, E. The aspiration approach to predicting coalition formation and payoff distribution in sidepayment games. (English) Zbl 0504.90093 Int. J. Game Theory 12, 1-28 (1983). Summary: This paper presents the aspiration approach to coalition formation and payoff distribution in games with sidepayments. The approach is based on the idea that players set prices for their participation within coalitions. The solution space which is appropriate for price-setting players is different from that of the usual solution concepts and is called the space of aspirations. Solution concepts defined on the space of aspirations correspond to notions of how players bargain over their prices. Once the players choose a vector of prices, the coalitions which can afford to pay these prices are the coalitions which are predicted to form in the game. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 40 Documents MSC: 91A12 Cooperative games Keywords:aspiration approach; coalition formation; payoff distribution in games with sidepayments; bargaining × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Albers, W.: Zwei Lösungskonzepte für kooperative Mehrpersonenspiele, die auf Anspruchsniveaus der Spieler basieren. OR-Verfahren (Methods of Operations Research)XVIII, 1974, 1–8. [2] -: Core- and Kernel-Variants Based on Imputations and Demand Profiles. Game Theory and Related Topics. Ed. by O. Moeschlin and D. Pallaschke. Amsterdam 1979. [3] Aumann, R.J., andJ. Drèze: Cooperative Games with Coalition Structures. International Journal of Game Theory3 (4), 1974, 217–237. · Zbl 0313.90074 · doi:10.1007/BF01766876 [4] Aumann, R.J., andM. Maschler: The Bargaining Set for Cooperative Games. Advances in Game Theory. Ed. by M. Dresher, L.S. Shapley, and A.W. Tucker. Annals of Mathematics Studies, No. 52. Princeton 1964, 443–476. · Zbl 0132.14003 [5] Bennett, E.: Coalition Formation and Payoff Distribution in Cooperative Games. Ph.D. dissertation, Northwestern University. June 1980. [6] –: Preliminary Results on Payoff Distribution Rules. Working Paper No. 476, School of Management, SUNY at Buffalo. Buffalo 1981a. [7] –: On Predicting Coalition Formation: Extensions of Familiar Solution Concepts to the Aspirations Domain. Working Paper No. 488, School of Management, SUNY at Buffalo. Buffalo 1981b. [8] –: Characterization Results for Aspirations. Forthcoming Journal of Mathematical Social Science, Working Paper No. 507, School of Management, SUNY at Buffalo. Buffalo 1981c. [9] –: Aspirations Approach to Non-Transferable Utility Games. Working Paper No. 523, School of Management, SUNY at Buffalo. Buffalo 1982a. [10] –: A New Approach to Predicting Coalition Formation and Payoff Distribution in Characteristic Function Games. Working Paper No. 528, School of Management, SUNY at Buffalo. Buffalo 1982b. [11] Bennett, E., andM. Wooders: Income Distribution and Firm Formation. Journal of Comparative Economics3, 1979, 304–317. · Zbl 0412.90023 · doi:10.1016/0147-5967(79)90032-5 [12] Böhm, V.: Firms and Market Equilibria in a Private Ownership Economy. Zeitschrift für Nationalökonomie33, 1973, 87–102. · Zbl 0267.90037 · doi:10.1007/BF01283312 [13] Cross, J.: Some Theoretic Characteristics of Economic and Political Coalitions. Journal of Conflict Resolution11, 1967, 184–195. · doi:10.1177/002200276701100205 [14] Davis, M., andM. Maschler: The Kernel of a Cooperative Game. Naval Research Logistics Quarterly12, 1965, 223–259. · Zbl 0204.20202 · doi:10.1002/nav.3800120303 [15] Gillies, D.B.: Some Theorems onn-Person Games. Ph.D. thesis, Department of Mathematics, Princeton University. Princeton 1953. · Zbl 0050.14406 [16] Hart, S., andM. Kurz: On the Endogenous Formation of Coalitions. Technical Report 328, Institute for Mathematical Studies in the Social Sciences, Stanford University. Stanford 1981. · Zbl 0523.90097 [17] Roth, A., andM. Malouf: Game Theoretic Models and the Role of Information in Bargaining. Psychological Review86, 1979, 574–594. · doi:10.1037/0033-295X.86.6.574 [18] Roth, A., andJ.K. Murnigham: The Role of Information in Bargaining: Some Limitations of Existing Theory. Faculty Working Paper No. 759, Bureau of Economic and Business Research, U. Illinois. Urbana-Champaign 1981. [19] Schmeidler, D.: The Nucleolus of a Characteristic Function Game. SIAM Journal of Applied Mathematics17, 1969, 1163–1170. · Zbl 0191.49502 · doi:10.1137/0117107 [20] Shapley, L.S.: A Value forn-person Games. Contributions to the Theory of Games II. Ed. by H.W. Kuhn and A.W. Tucker. Annals of Mathematics Studies, No. 38. Princeton 1953, 307–317. [21] Shenoy, P.: On Coalition Formation: A Game-Theoretic Approach. International Journal of Game Theory8 (3), 1979, 133–164. · Zbl 0418.90096 · doi:10.1007/BF01770064 [22] Turbay, G.: On Value Theories forn-person Cooperative Games. Ph.D. Diss., Rice University Houston 1977. [23] Wooders, M.: Quasi-Cores and Quasi-Equilibria in Coalition Economics with Transferable Utility. Stony Brook Working Paper Series, Dept. of Economics, SUNY Stony Brook. Stony Brook 1978 (with subsequent revisions). [24] -: The Epsilon-core of a Large Game without Side Payments. SUNY, Stony Brook Working Paper Series. Stony Brook (March) 1981. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.