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P, Keiding H, McLean RP, Oortwijn S, Tijs S (1992) The compromise value for NTU games. Int J Game Theory 21: 175–189\nChun Y, Thomson W (1992) Bargaining problems with claims. Math Soc Sci 24: 19–33\nHart S (1985) An axiomatization of Harsanyi’s nontrasferable utility solution. Econometrica 53: 1295–1313\nHart S (1994) On prize games. In: Meggido N (eds) Essays in game theory. Springer, Berlin, pp 111–121\nHart S (2004) A comparison of non-transferable utility values. Theory Decis 56: 35–46\nHart S (2005) An axiomatization of the consistent non-transferable utility value. Int J Game Theory 33: 355–366\nHart S, Mas-Colell A (1989) Potential value and consistency. Econometrica 57: 589–614\nHart S, Mas-Colell A (1996) Bargaining and value. Econometrica 64: 357–380\nHarsanyi JC (1963) A simplified bargaining model for the n-person cooperative game. Int Econ Rev 4: 194–220\nHerrero C (1998) Endogenous reference points and the adjusted proportional solution for bargaining problems with claims. Soc Choice Welf 15: 113–119\nHerrero C, Maschler M, Villar A (1999) Individual rights and collective responsibility: the rights egalitarian solution. Math Soc Sci 37: 59–77\nKalai E, Smorodinsky M (1975) Other solutions to Nash’s bargaining problem. Econometrica 45: 513–518\nMaschler M, Owen G (1989) The consistent Shapley value for hyperplane games. Int J Game Theory 18: 389–407\nMaschler M, Owen G (1992) The consistent Shapley value for games without side payments. In: Selten R (ed) Rational interaction. Springer\nMariotti M, Villar A (2005) The Nash rationing solution. Int J Game Theory 33: 367–377\nMoulin H (1988) Axioms for cooperative decision making. Cambridge University Press, Cambridge\nMoulin H (2002) Axiomatic cost and surplus sharing, Chapter 6. In: Arrow KJ, Sen A, Suzumura K (eds) The handbook of social choice and welfare, vol 1. Elsevier, pp 289–357\nNash JF (1950) The bargaining problem. Econometrica 28: 155–162\nShapley LS (1969) Utility comparisons and the theory of games. In: La Décision. Paris, Editions du CNRS, pp 251–263\nThomson W (2003) Axiomatic analyses of bankruptcy and taxation problems: a survey. Math Soc Sci 45: 249–297\nYoung P (1987) On dividing an amount according to individual claims or liabilities. Math Oper Res 12: 398–414\nYoung P (1994) Equity. Princeton University Press, Princeton",{"EN":369},"The purpose of this paper is to extend the rights egalitarian solution (Herrero et al. in Math Soc Sci 37:59–77, 1999) to the context of non-transferable utility sharing problems. Such an extension is not unique. Depending on the kind of properties we want to preserve we obtain two different generalizations. One is the “proportional solution”, that corresponds to the Kalai–Smorodinsky solution for surplus sharing problems and the solution in Herrero (Soc Choice Welf 15:113–119, 1998) for rationing problems. 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Harper and Row, New York\nEraslan H, Merlo A (2002) Majority rule in a stochastic model of bargaining. J Econ Theory 103(1):31–48. https:\u002F\u002Fdoi.org\u002F10.1006\u002Fjeth.2001.2811\nFiorina M (1981) Retrospective voting in American national elections. Yale University Press, New Haven\nFranchino F, Rahming AJ (2003) Biased ministers, inefficiency, and control in distributive policies. Eur Union Polit 4(1):11–36. https:\u002F\u002Fdoi.org\u002F10.1177\u002F1465116503004001579\nHarrington JE (1989) The advantageous nature of risk aversion in a three-player bargaining game where acceptance of a proposal requires a simple majority. Econ Lett 30(3):195–200. https:\u002F\u002Fdoi.org\u002F10.1016\u002F0165-1765(89)90225-5\nHarrington JE (1990) The power of the proposal maker in a model of endogenous agenda formation. Public Choice 64(1):1–20. https:\u002F\u002Fdoi.org\u002F10.1007\u002Fbf00125914\nHarrington JE (1990) The role of risk preferences in bargaining when acceptance of a proposal requires less than unanimous approval. Journal of Risk and Uncertainty 3(2):135–154. https:\u002F\u002Fdoi.org\u002F10.1007\u002Fbf00056369\nHinich MJ, Ledyard JO, Ordeshook PC (1973) A theory of electoral equilibrium: a spatial analysis based on the theory of games. J Polit 35(1):154–193. https:\u002F\u002Fdoi.org\u002F10.2307\u002F2129041\nHollyer JR, Klašnja M, Titiunik R (2022) Parties as disciplinarians: charisma and commitment problems in programmatic campaigning. Am J Polit Sci 66(1):75–92. https:\u002F\u002Fdoi.org\u002F10.1111\u002Fajps.12638\nHuber JD (1996) The vote of confidence in parliamentary democracies. Am Polit Sci Rev 90(2):269–282. https:\u002F\u002Fdoi.org\u002F10.2307\u002F2082884\nJackson MO, Moselle B (2002) Coalition and party formation in a legislative voting game. J Econ Theory 103(1):49–87. https:\u002F\u002Fdoi.org\u002F10.1006\u002Fjeth.2000.2688\nKalandrakis T (2006) Proposal rights and political power. Am J Polit Sci 50(2):441–448\nLuce D (1959) Individual choice behavior. A theoretical analysis. Wiley, New York\nMangasarian OL (1965) Pseudo-convex functions. J Soc Ind Appl Math Ser A Control 3(2):281–290. https:\u002F\u002Fdoi.org\u002F10.1137\u002F0303020\nMcFadden D (1980) Econometric models for probabilistic choice among products. J Bus 53(3):S13–S29\nMcFadden D (1981) Econometric models of probabilistic choice. In: Manski CF, McFadden DL (eds) Structural analysis of discrete data and econometric applications. The MIT Press\nMcKelvey RD, Schofield N (1987) Generalized symmetry conditions at a core point. Econometrica 55(4):923. https:\u002F\u002Fdoi.org\u002F10.2307\u002F1911036\nMerlo A, Wilson C (1995) A stochastic model of sequential bargaining with complete information. Econometrica 63(2):371. https:\u002F\u002Fdoi.org\u002F10.2307\u002F2951630\nNapel S (2006) The inter-institutional distribution of power in eu codecision. Soc Choice Welf 26(1):1–26\nPlott C (1967) A notation of equilibrium and its possibility under majority rule. Am Econ Rev 57:787–806\nRubinstein A (1982) Perfect equilibrium in a bargaining model. Econometrica 50(1):97–109\nSchofield N, Sened I (2002) Local nash equilibrium in multiparty politics. Ann Oper Res 109(1\u002F4):193–211. https:\u002F\u002Fdoi.org\u002F10.1023\u002Fa:1016304319551\nSchofield NJ (2007) The mean voter theorem: necessary and sufficient conditions for convergent equilibrium. Rev Econ Stud 74:965–980. https:\u002F\u002Fdoi.org\u002F10.1111\u002Fj.1467-937X.2007.00444.x\nShepsle KA (1979) Institutional arrangements and equilibrium in multidimensional voting models. Am J Polit Sci 23:27\nSnyder JM, Ting MM, Ansolabehere S (2005) Legislative bargaining under weighted voting. Am Econ Rev 95(4):981–1004\nWeingast B (1979) A rational choice perspective on congressional norms. Am J Polit Sci 23(2):245–263\nWeingast BR (1994) Reflections on distributive politics and universalism. Politic Res Q 47(2):319–327\nWeingast BR, Shepsle KA, Johnsen C (1981) The political economy of benefits and costs: a neoclassical approach to distributive politics. J Polit Econ 89:642–664\nWinter E (1996) Voting and vetoing. Am Polit Sci Rev 90(4):813–823. https:\u002F\u002Fdoi.org\u002F10.2307\u002F2945844\nWolfe P (1969) Convergence conditions for ascent methods. SIAM Rev 11(2):226–235. https:\u002F\u002Fdoi.org\u002F10.1137\u002F1011036",{"VI":1149,"EN":1150},"Bài báo này xem xét các cân bằng Nash chiến lược thuần túy của các mô hình thương lượng lập pháp không hợp tác. Trái ngược với các mô hình thương lượng lập pháp hiện có, chúng tôi suy diễn hành vi của các nhà lập pháp từ việc tối đa hóa tiện ích ngẫu nhiên. Cách tiếp cận này cho phép chúng tôi chứng minh sự tồn tại của một Cân bằng Nash thuần túy địa phương và toàn cầu tại thời điểm tĩnh trong các bối cảnh tương đối tổng quát. Chứng minh toán học dựa trên lập luận điểm cố định, có thể được sử dụng như một phương pháp số để xác định một cân bằng. Chúng tôi đặc trưng hóa kết quả của cân bằng như một xổ số của các đề xuất của các nhà lập pháp và chứng minh Định lý Voter Trung Bình, tức là, các đề xuất tạo thành theo chiều kích là trung bình có trọng số của các điểm lý tưởng của các nhà lập pháp và là tối ưu Pareto. Dựa trên một ví dụ đơn giản, chúng tôi minh họa logic khác nhau của mô hình của chúng tôi so với cân bằng chiến lược hỗn hợp của mô hình thương lượng lập pháp được đề xuất bởi Banks và Duggan (Am Polit Sci Rev 94(1):73–88. https:\u002F\u002Fdoi.org\u002F10.2307\u002F2586381, 2000).","This paper considers pure strategy Nash equilibria of non-cooperative legislative bargaining models. In contrast to existing legislative bargaining models, we derive legislators behavior from stochastic utility maximization. This approach allows us to prove the existence of a stationary Pure Local and Global Nash Equilibrium under rather general settings. The mathematical proof is based on a fixed point argument, which can also be used as a numerical method to determine an equilibrium. We characterize the equilibrium outcome as a lottery of legislators’ proposals and prove a Mean Voter Theorem, i.e., proposals result dimension-by-dimension as a weighted mean of legislators’ ideal points and are Pareto-optimal. Based on a simple example, we illustrate different logic of our model compared to mixed strategy equilibrium of the legislative bargaining model suggested by Banks and Duggan (Am Polit Sci Rev 94(1):73–88. \n              https:\u002F\u002Fdoi.org\u002F10.2307\u002F2586381\n              \n            , 2000).",{"VI":1152,"EN":1153},"Cân bằng Nash chiến lược thuần túy cho các mô hình thương lượng lựa chọn tập thể","Pure strategy Nash equilibria for bargaining models of collective choice",{"VOID":1155},"10.1007\u002Fs00182-023-00882-z",{"VI":1157},"Cân bằng Nash, chiến lược thuần túy, thương lượng lập pháp, tối ưu Pareto, Định lý Voter Trung 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